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Estimates for smooth Weyl sums on minor arcs
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2024
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Jörg Brüdern
Trevor D. Wooley
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Partitio Numerorum: sums of a prime and a number of $k$-th powers
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2024
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Jörg Brüdern
Trevor D. Wooley
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+
PDF
Chat
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Estimates for Smooth Weyl Sums on Major Arcs
|
2024
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Jörg Brüdern
Trevor D. Wooley
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The Manin–Peyre conjecture for smooth spherical Fano threefolds
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2024
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Valentin Blomer
Jörg Brüdern
Ulrich Derenthal
Giuliano Gagliardi
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PDF
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The Manin–Peyre conjecture for smooth spherical Fano varieties of semisimple rank one
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2024
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Valentin Blomer
Jörg Brüdern
Ulrich Derenthal
Giuliano Gagliardi
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PDF
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On the sum of two powered numbers
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2024
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Jörg Brüdern
Olivier Robert
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PDF
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On the distribution of powered numbers
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2024
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Jörg Brüdern
Olivier Robert
|
+
PDF
Chat
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Partitio Numerorum: sums of squares and higher powers
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2024
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Jörg Brüdern
Trevor D. Wooley
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+
PDF
Chat
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On Waring’s problem for larger powers
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2023
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Jörg Brüdern
Trevor D. Wooley
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PDF
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On Waring's problem: Beyond Freĭman's theorem
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2023
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Jörg Brüdern
Trevor D. Wooley
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+
PDF
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Correction to: The Hasse principle for systems of diagonal cubic forms
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2023
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Jörg Brüdern
Trevor D. Wooley
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+
PDF
Chat
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Pairs of Diagonal Quartic Forms: The Asymptotic Formulae
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2023
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Jörg Brüdern
Trevor D. Wooley
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+
PDF
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Another Waring–Goldbach problem
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2023
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Jörg Brüdern
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+
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On the distribution of powered numbers
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2023
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Jörg Brüdern
Olivier Robert
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+
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On the sum of two powered numbers
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2023
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Jörg Brüdern
Olivier Robert
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+
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Ein quaternäres Waring-Goldbach-Problem
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2023
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Jörg Brüdern
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+
PDF
Chat
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Pairs Of Diagonal Quartic Forms: The Non-Singular Hasse Principle
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2022
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Jörg Brüdern
Trevor D. Wooley
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+
PDF
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Sums of two unlike powers in arithmetic progressions
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2022
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Jörg Brüdern
R. C. Vaughan
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+
PDF
Chat
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A paucity problem for certain triples of diagonal equations
|
2022
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Jörg Brüdern
Trevor D. Wooley
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+
PDF
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On smooth Weyl sums over biquadrates and Waring’s problem
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2022
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Jörg Brüdern
Trevor D. Wooley
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The Manin-Peyre conjecture for smooth spherical Fano threefolds
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2022
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Valentin Blomer
Jörg Brüdern
Ulrich Derenthal
Giuliano Gagliardi
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+
PDF
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A Montgomery–Hooley Theorem for sums of two cubes
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2021
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Jörg Brüdern
R. C. Vaughan
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+
PDF
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Common divisors of totients of polynomial sequences
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2021
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Jörg Brüdern
K. Soundararajan
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+
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Analytic Number Theory
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2020
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Jörg Brüdern
Kaisa Matomäki
R. C. Vaughan
Trevor D. Wooley
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The Manin-Peyre conjecture for smooth spherical Fano varieties of semisimple rank one
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2020
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Valentin Blomer
Jörg Brüdern
Ulrich Derenthal
Giuliano Gagliardi
|
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PDF
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An instance where the major and minor arc integrals meet
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2019
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Jörg Brüdern
Trevor D. Wooley
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+
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Explicit formulae for averages of Goldbach representations
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2019
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Jörg Brüdern
Jerzy Kaczorowski
Alberto Perelli
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+
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Common divisors of totients of polynomial sequences
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2019
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Jörg Brüdern
K. Soundararajan
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+
PDF
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Arithmetic harmonic analysis for smooth quartic Weyl sums: three additive equations
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2018
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Jörg Brüdern
Trevor D. Wooley
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+
PDF
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ON ARTIN'S CONJECTURE: LINEAR SLICES OF DIAGONAL HYPERSURFACES
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2018
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Jörg Brüdern
Olivier Robert
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+
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Approximations to Weyl sums
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2018
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Jörg Brüdern
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+
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Explicit formulae for averages of Goldbach representations
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2017
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Jörg Brüdern
Jerzy Kaczorowski
Alberto Perelli
|
+
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The Manin–Peyre formula for a certain biprojective threefold
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2017
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Valentin Blomer
Jörg Brüdern
Per Salberger
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+
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Goldbach's Problem: Selected Topics
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2017
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Michael Th. Rassias
Jörg Brüdern
Preda Mihăilescu
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+
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Rational points on the inner product cone via the hyperbola method
|
2017
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Valentin Blomer
Jörg Brüdern
|
+
PDF
Chat
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RATIONAL POINTS ON THE INNER PRODUCT CONE VIA THE HYPERBOLA METHOD
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2017
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Valentin Blomer
Jörg Brüdern
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+
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Local Oscillations in Moderately Dense Sequences of Primes
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2017
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Jörg Brüdern
Christian Elsholtz
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+
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Rational points on the inner product cone via the hyperbola method
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2017
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Valentin Blomer
Jörg Brüdern
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+
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Local oscillations in moderately dense sequences of primes
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2017
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Jörg Brüdern
Christian Elsholtz
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PDF
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Additive representation in short intervals, II: sums of two like powers
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2016
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Jörg Brüdern
Trevor D. Wooley
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PDF
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Correlation estimates for sums of three cubes
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2016
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Jörg Brüdern
Trevor D. Wooley
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+
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A Ternary Problem in Additive Prime Number Theory
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2016
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Jörg Brüdern
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The Manin-Peyre conjecture for a certain biprojective cubic threefold
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2016
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Valentin Blomer
Jörg Brüdern
Per Salberger
|
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PDF
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Cubic moments of Fourier coefficients and pairs of diagonal quartic forms
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2015
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Jörg Brüdern
Trevor D. Wooley
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+
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Random congruences
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2015
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Jörg Brüdern
Rainer Dietmann
|
+
PDF
Chat
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Counting in hyperbolic spikes: The diophantine analysis of multihomogeneous diagonal equations
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2015
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Valentin Blomer
Jörg Brüdern
|
+
PDF
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The Hasse principle for systems of diagonal cubic forms
|
2015
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Jörg Brüdern
Trevor D. Wooley
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+
PDF
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Rational points on linear slices of diagonal hypersurfaces
|
2015
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Jörg Brüdern
Olivier Robert
|
+
PDF
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Rational points on linear slices of diagonal hypersurfaces
|
2015
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Jörg Brüdern
Olivier Robert
|
+
PDF
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ON THE ASYMPTOTIC FORMULA IN WARING'S PROBLEM: ONE SQUARE AND THREE FIFTH POWERS
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2014
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Jörg Brüdern
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Analytic Number Theory
|
2014
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Jörg Brüdern
Hugh L. Montgomery
R. C. Vaughan
Trevor D. Wooley
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+
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Random Diophantine equations, I
|
2014
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Jörg Brüdern
Rainer Dietmann
|
+
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Counting in hyperbolic spikes: the diophantine analysis of multihomogeneous diagonal equations
|
2014
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Valentin Blomer
Jörg Brüdern
|
+
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Sums of Squares Coprime in Pairs
|
2014
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Jörg Brüdern
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+
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Counting in hyperbolic spikes: the diophantine analysis of multihomogeneous diagonal equations
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2014
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Valentin Blomer
Jörg Brüdern
|
+
PDF
Chat
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On a certain senary cubic form
|
2013
|
Valentin Blomer
Jörg Brüdern
Per Salberger
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ADDITIVE REPRESENTATION IN THIN SEQUENCES, VIII: DIOPHANTINE INEQUALITIES IN REVIEW
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2013
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Jörg Brüdern
KOICHI KAWADA
Trevor D. Wooley
|
+
PDF
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Subconvexity for additive equations: Pairs of undenary cubic forms
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2013
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Jörg Brüdern
Trevor D. Wooley
|
+
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Random diophantine equations, I
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2012
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Jörg Brüdern
Rainer Dietmann
|
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PDF
Chat
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Piatetski-Shapiro sequences
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2012
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Roger C. Baker
William D. Banks
Jörg Brüdern
Igor E. Shparlinski
Andreas Weingartner
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Piatetski-Shapiro sequences
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2012
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Roger C. Baker
William D. Banks
Jörg Brüdern
Igor E. Shparlinski
Andreas Weingartner
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+
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Small values of diagonal cubic forms
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2012
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Jörg Brüdern
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+
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Random Diophantine inequalities of additive type
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2012
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Jörg Brüdern
Rainer Dietmann
|
+
PDF
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On Waring's problem for two cubes and two small cubes
|
2012
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Jörg Brüdern
|
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Piatetski-Shapiro sequences
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2012
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Roger C. Baker
William D. Banks
Jörg Brüdern
Igor E. Shparlinski
Andreas Weingartner
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Random diophantine equations, I
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2012
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Jörg Brüdern
Rainer Dietmann
|
+
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Daniel’s Twists of Hooley’s Delta Function
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2011
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Jörg Brüdern
|
+
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The Density of Rational Points on a Certain Threefold
|
2011
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Valentin Blomer
Jörg Brüdern
|
+
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Random Diophantine inequalities of additive type
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2011
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Jörg Brüdern
Rainer Dietmann
|
+
PDF
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The localisation of primes in arithmetic progressions of irrational modulus
|
2011
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Jörg Brüdern
Koichi Kawada
|
+
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Random Diophantine inequalities of additive type
|
2011
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Jörg Brüdern
Rainer Dietmann
|
+
PDF
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On Waring’s problem: Three cubes and a minicube
|
2010
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Jörg Brüdern
Trevor D. Wooley
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+
PDF
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On Waring’s problem: Three cubes and a minicube
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2010
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Jörg Brüdern
Trevor D. Wooley
|
+
PDF
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On the gaps between values of binary quadratic forms
|
2010
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Jörg Brüdern
Rainer Dietmann
|
+
PDF
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Asymptotic Formulae for Pairs of Diagonal Cubic Equations
|
2010
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Jörg Brüdern
Trevor D. Wooley
|
+
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Random diophantine equations of additive type
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2010
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Jörg Brüdern
Rainer Dietmann
|
+
PDF
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Iterates of Vinogradov's quadric and prime paucity
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2010
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Valentin Blomer
Jörg Brüdern
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+
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A Birch–Goldbach theorem
|
2010
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Jörg Brüdern
Rainer Dietmann
J. Y. Liu
Trevor D. Wooley
|
+
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The asymptotic formulae in Waring's problem for cubes
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2010
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Jörg Brüdern
Trevor D. Wooley
|
+
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Random diophantine equations of additive type
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2010
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Jörg Brüdern
Rainer Dietmann
|
+
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The asymptotic formula in Waring’s problem for one square and seventeen fifth powers
|
2009
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Jörg Brüdern
Koichi Kawada
|
+
PDF
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Sums of smooth squares
|
2009
|
Valentin Blomer
Jörg Brüdern
Rainer Dietmann
|
+
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ADDITIVE REPRESENTATION IN THIN SEQUENCES, VIII: DIOPHANTINE INEQUALITIES IN REVIEW
|
2009
|
Jörg Brüdern
Koichi Kawada
Trevor D. Wooley
|
+
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SPARSE VARIANCE FOR PRIMES IN ARITHMETIC PROGRESSION
|
2009
|
Jörg Brüdern
Trevor D. Wooley
|
+
PDF
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ON THE WARING–GOLDBACH PROBLEM FOR CUBES
|
2009
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Jörg Brüdern
Koichi Kawada
|
+
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Imperfect Mimesis of Weyl Sums
|
2009
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Jörg Brüdern
Dirk Daemen
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+
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Analytic Number Theory
|
2008
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Jörg Brüdern
Hugh L. Montgomery
R. C. Vaughan
|
+
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The number of integer points on Vinogradov’s quadric
|
2008
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Valentin Blomer
Jörg Brüdern
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+
PDF
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Additive Representation in Thin Sequences, VII: Restricted Moments of the Number of Representations
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2008
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Jörg Brüdern
Koichi Kawada
Trevor D. Wooley
|
+
PDF
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Counting Diophantine Approximations
|
2008
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Jörg Brüdern
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+
PDF
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Reprsentations of Natural Numbers as the Sum of a Prime and a $k$-th Power
|
2008
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Jörg Brüdern
|
+
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A QUADRIC WITH ARITHMETIC PAUCITY
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2008
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Valentin Blomer
Jörg Brüdern
|
+
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Prime paucity for sums of two squares
|
2008
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Valentin Blomer
Jörg Brüdern
|
+
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A THREE SQUARES THEOREM WITH ALMOST PRIMES
|
2005
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Valentin Blomer
Jörg Brüdern
|
+
PDF
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Additive representation in short intervals, I: Waring's problem for cubes
|
2004
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Jörg Brüdern
Trevor D. Wooley
|
+
PDF
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Additive representation in thin sequences, V: Mixed problems of Waring's type
|
2003
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Jörg Brüdern
Kiyokazu Kawada
Trevor D. Wooley
|
+
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The Paucity Problem for Certain Pairs of Diagonal Equations
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2003
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Jörg Brüdern
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+
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Additive representation in thin sequences, VI: Representing primes, and related problems
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2002
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Jörg Brüdern
Kiyokazu Kawada
Trevor D. Wooley
|
+
PDF
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Hua's Lemma and Simultaneous Diagonal Equations
|
2002
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Jörg Brüdern
Trevor D. Wooley
|
+
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ON ARTIN'S CONJECTURE, II: PAIRS OF ADDITIVE FORMS
|
2002
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Jörg Brüdern
Hemar Godinho
|
+
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Ternary Problems in Additive Prime Number Theory
|
2002
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Jörg Brüdern
Koichi Kawada
|
+
PDF
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On Waring’s problem: Three cubes and a sixth power
|
2001
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Jörg Brüdern
Trevor D. Wooley
|
+
PDF
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Additive representation in thin sequences, I: Waring's problem for cubes
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2001
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Jörg Brüdern
Kiyokazu Kawada
Trevor D. Wooley
|
+
PDF
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Diophantine approximation by cubes of primes and an almost prime. II
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2001
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Jörg Brüdern
Angel Kumchev
|
+
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None
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2001
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Jörg Brüdern
|
+
PDF
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Additive representation in thin sequences, III: asymptotic formulae
|
2001
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Jörg Brüdern
Kiyokazu Kawada
Trevor D. Wooley
|
+
PDF
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On Waring's Problem for Cubes and Smooth Weyl Sums
|
2001
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Jörg Brüdern
Trevor D. Wooley
|
+
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A note on the distribution of sumsets
|
2001
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Jörg Brüdern
Alberto Perelli
|
+
PDF
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On Waring’s Problem for Cubes and Smooth Weyl Sums
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2001
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Jörg Brüdern
Trevor D. Wooley
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+
PDF
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On Waring's problem: two cubes and seven biquadrates
|
2000
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Jörg Brüdern
Trevor D. Wooley
|
+
PDF
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Additive representation in thin sequences, II: The binary Goldbach problem
|
2000
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Jörg Brüdern
Kiyokazu Kawada
Trevor D. Wooley
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+
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Binary additive problems, multiplicative sequences, and me Bateman-Horn conjecture (解析的整数論とその周辺)
|
2000
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Jörg Brüdern
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+
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Binary additive problems, multiplicative sequences, and the Bateman-Horn conjecture (Analytic Number Theory and Related Topics)
|
2000
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Jörg Brüdern
|
+
PDF
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Twins of k-free numbers and their exponential sum.
|
2000
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Jörg Brüdern
Alberto Perelli
Trevor D. Wooley
|
+
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Some additive problems of Goldbach's type
|
2000
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Jörg Brüdern
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+
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On Waring's problem: a square, four cubes and a biquadrate
|
1999
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Jörg Brüdern
Trevor D. Wooley
|
+
PDF
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On smooth gaps between consecutive prime numbers
|
1999
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Antal Balog
Jörg Brüdern
Trevor D. Wooley
|
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On Artin's Conjecture, I: Systems of Diagonal Forms
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1999
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Jörg Brüdern
Hemar Godinho
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+
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Exponential sums and additive problems involving square-free numbers
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1999
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Jörg Brüdern
Alberto Perelli
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+
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The addition of binary cubic forms
|
1998
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Jörg Brüdern
Trevor D. Wooley
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+
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On the exponential sum over k–free numbers
|
1998
|
Jörg Brüdern
Andrew Granville
Alberto Perelli
R. C. Vaughan
Trevor D. Wooley
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+
PDF
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Goldbach numbers in sparse sequences
|
1998
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Jörg Brüdern
Alberto Perelli
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+
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Goldbach Numbers and Uniform Distribution
|
1997
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Jörg Brüdern
Alberto Perelli
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+
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Analytic Number Theory
|
1997
|
Yoichi Motohashi
Yoichi Motohashi
Enrico Bombieri
Enrico Bombieri
Enrico Bombieri
Jörg Brüdern
Jan‐Hendrik Evertse
John Friedlander
Andrew Granville
Adolf Hildebrand
|
+
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The Values of Binary Linear Forms at Prime Arguments
|
1997
|
Jörg Brüdern
Roger Cook
Alberto Perelli
|
+
PDF
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The Addition of Primes and Power
|
1996
|
Jörg Brüdern
Alberto Perelli
|
+
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Cubic Diophantine Inequalities, II
|
1996
|
Jörg Brüdern
|
+
PDF
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Cubic Diophantine inequalities
|
1995
|
Roger C. Baker
Jörg Brüdern
Trevor D. Wooley
|
+
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On Waring’s problem for four cubes
|
1995
|
Jörg Brüdern
Nigel Watt
|
+
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Primzahlverteilung in arithmetischen Progressionen
|
1995
|
Jörg Brüdern
|
+
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Vaughan-Identitäten und deren Anwendungen
|
1995
|
Jörg Brüdern
|
+
PDF
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A sieve approach to the Waring-Goldbach problem, II On the seven cubes theorem
|
1995
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Jörg Brüdern
|
+
PDF
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A sieve approach to the Waring-Goldbach problem. I. Sums of four cubes
|
1995
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Jörg Brüdern
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+
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Die Ideen Riemanns
|
1995
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Jörg Brüdern
|
+
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Einführung in die analytische Zahlentheorie
|
1995
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Jörg Brüdern
|
+
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Die Nullstellen der Zetafunktion
|
1995
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Jörg Brüdern
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+
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Arithmetische Funktionen und Dirichlet-Reihen
|
1995
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Jörg Brüdern
|
+
PDF
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Lagrange's Four Squares Theorem with almost prime variables.
|
1994
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Jörg Brüdern
Étienne Fouvry
|
+
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Small Solutions of Additive Cubic Equations
|
1994
|
Jörg Brüdern
|
+
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On sums of two squarefull numbers
|
1994
|
Roger C. Baker
Jörg Brüdern
|
+
PDF
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Three additive congruences to a large prime modulus
|
1993
|
O. D. Atkinson
Jörg Brüdern
Roger Cook
|
+
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Cubic Inequalities of Additive Type
|
1993
|
Jörg Brüdern
Roger Cook
|
+
PDF
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Pairs of quadratic forms modulo one
|
1993
|
Roger C. Baker
Jörg Brüdern
|
+
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A note on cubic exponential sums
|
1993
|
Jörg Brüdern
|
+
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Simultaneous additive congruences to a large prime modulus
|
1992
|
O. D. Atkinson
Jörg Brüdern
Roger Cook
|
+
PDF
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On simultaneous diagonal equations and inequalities
|
1992
|
Jörg Brüdern
Roger Cook
|
+
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On pairs of cubic Diophantine inequalities
|
1991
|
Jörg Brüdern
Roger Cook
|
+
PDF
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Ternary additive problems of Waring's type.
|
1991
|
Jörg Brüdern
|
+
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On Waring's problem for cubes
|
1991
|
Jörg Brüdern
|
+
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Additive diophantine inequalities with mixed powers, III
|
1991
|
Jörg Brüdern
|
+
PDF
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Three additive cubic equations
|
1991
|
O. D. Atkinson
Jörg Brüdern
Roger Cook
|
+
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THE FRACTIONAL PART OF αn<sup>k</sup> FOR SQUARE-FREE n
|
1991
|
Roger C. Baker
Jörg Brüdern
Gilbert Harman
|
+
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On Waring's Problem for Fifth Powers and Some Related Topics
|
1990
|
Jörg Brüdern
|
+
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On Pairs of Diagonal Cubic Forms
|
1990
|
Jörg Brüdern
|
+
PDF
|
On pairs of additive cubic equations.
|
1988
|
Roger C. Baker
Jörg Brüdern
|
+
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On Waring's problem for cubes and biquadrates. II
|
1988
|
Jörg Brüdern
|
+
PDF
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Cubic Diophantine inequalities
|
1988
|
Jörg Brüdern
|
+
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On Waring's Problem for Cubes and Biquadrates
|
1988
|
Jörg Brüdern
|
+
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A problem in additive number theory
|
1988
|
Jörg Brüdern
|
+
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Additive Diophantine inequalities with mixed powers I
|
1987
|
Jörg Brüdern
|
+
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Additive Diophantine inequalities with mixed powers II
|
1987
|
Jörg Brüdern
|
+
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Sums of Squares and Higher Powers
|
1987
|
Jörg Brüdern
|
+
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Sums of Squares and Higher Powers Ii
|
1987
|
Jörg Brüdern
|