Jörg Brüdern

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All published works
Action Title Year Authors
+ Estimates for smooth Weyl sums on minor arcs 2024 Jörg Brüdern
Trevor D. Wooley
+ Partitio Numerorum: sums of a prime and a number of $k$-th powers 2024 Jörg Brüdern
Trevor D. Wooley
+ PDF Chat Estimates for Smooth Weyl Sums on Major Arcs 2024 Jörg Brüdern
Trevor D. Wooley
+ The Manin–Peyre conjecture for smooth spherical Fano threefolds 2024 Valentin Blomer
Jörg Brüdern
Ulrich Derenthal
Giuliano Gagliardi
+ PDF The Manin–Peyre conjecture for smooth spherical Fano varieties of semisimple rank one 2024 Valentin Blomer
Jörg Brüdern
Ulrich Derenthal
Giuliano Gagliardi
+ PDF On the sum of two powered numbers 2024 Jörg Brüdern
Olivier Robert
+ PDF On the distribution of powered numbers 2024 Jörg Brüdern
Olivier Robert
+ PDF Chat Partitio Numerorum: sums of squares and higher powers 2024 Jörg Brüdern
Trevor D. Wooley
+ PDF Chat On Waring’s problem for larger powers 2023 Jörg Brüdern
Trevor D. Wooley
+ PDF On Waring's problem: Beyond Freĭman's theorem 2023 Jörg Brüdern
Trevor D. Wooley
+ PDF Correction to: The Hasse principle for systems of diagonal cubic forms 2023 Jörg Brüdern
Trevor D. Wooley
+ PDF Chat Pairs of Diagonal Quartic Forms: The Asymptotic Formulae 2023 Jörg Brüdern
Trevor D. Wooley
+ PDF Another Waring–Goldbach problem 2023 Jörg Brüdern
+ On the distribution of powered numbers 2023 Jörg Brüdern
Olivier Robert
+ On the sum of two powered numbers 2023 Jörg Brüdern
Olivier Robert
+ Ein quaternäres Waring-Goldbach-Problem 2023 Jörg Brüdern
+ PDF Chat Pairs Of Diagonal Quartic Forms: The Non-Singular Hasse Principle 2022 Jörg Brüdern
Trevor D. Wooley
+ PDF Sums of two unlike powers in arithmetic progressions 2022 Jörg Brüdern
R. C. Vaughan
+ PDF Chat A paucity problem for certain triples of diagonal equations 2022 Jörg Brüdern
Trevor D. Wooley
+ PDF On smooth Weyl sums over biquadrates and Waring’s problem 2022 Jörg Brüdern
Trevor D. Wooley
+ The Manin-Peyre conjecture for smooth spherical Fano threefolds 2022 Valentin Blomer
Jörg Brüdern
Ulrich Derenthal
Giuliano Gagliardi
+ PDF A Montgomery–Hooley Theorem for sums of two cubes 2021 Jörg Brüdern
R. C. Vaughan
+ PDF Common divisors of totients of polynomial sequences 2021 Jörg Brüdern
K. Soundararajan
+ Analytic Number Theory 2020 Jörg Brüdern
Kaisa Matomäki
R. C. Vaughan
Trevor D. Wooley
+ The Manin-Peyre conjecture for smooth spherical Fano varieties of semisimple rank one 2020 Valentin Blomer
Jörg Brüdern
Ulrich Derenthal
Giuliano Gagliardi
+ PDF An instance where the major and minor arc integrals meet 2019 Jörg Brüdern
Trevor D. Wooley
+ Explicit formulae for averages of Goldbach representations 2019 Jörg Brüdern
Jerzy Kaczorowski
Alberto Perelli
+ Common divisors of totients of polynomial sequences 2019 Jörg Brüdern
K. Soundararajan
+ PDF Arithmetic harmonic analysis for smooth quartic Weyl sums: three additive equations 2018 Jörg Brüdern
Trevor D. Wooley
+ PDF ON ARTIN'S CONJECTURE: LINEAR SLICES OF DIAGONAL HYPERSURFACES 2018 Jörg Brüdern
Olivier Robert
+ Approximations to Weyl sums 2018 Jörg Brüdern
+ Explicit formulae for averages of Goldbach representations 2017 Jörg Brüdern
Jerzy Kaczorowski
Alberto Perelli
+ The Manin–Peyre formula for a certain biprojective threefold 2017 Valentin Blomer
Jörg Brüdern
Per Salberger
+ Goldbach's Problem: Selected Topics 2017 Michael Th. Rassias
Jörg Brüdern
Preda Mihăilescu
+ Rational points on the inner product cone via the hyperbola method 2017 Valentin Blomer
Jörg Brüdern
+ PDF Chat RATIONAL POINTS ON THE INNER PRODUCT CONE VIA THE HYPERBOLA METHOD 2017 Valentin Blomer
Jörg Brüdern
+ Local Oscillations in Moderately Dense Sequences of Primes 2017 Jörg Brüdern
Christian Elsholtz
+ Rational points on the inner product cone via the hyperbola method 2017 Valentin Blomer
Jörg Brüdern
+ Local oscillations in moderately dense sequences of primes 2017 Jörg Brüdern
Christian Elsholtz
+ PDF Additive representation in short intervals, II: sums of two like powers 2016 Jörg Brüdern
Trevor D. Wooley
+ PDF Correlation estimates for sums of three cubes 2016 Jörg Brüdern
Trevor D. Wooley
+ A Ternary Problem in Additive Prime Number Theory 2016 Jörg Brüdern
+ The Manin-Peyre conjecture for a certain biprojective cubic threefold 2016 Valentin Blomer
Jörg Brüdern
Per Salberger
+ PDF Cubic moments of Fourier coefficients and pairs of diagonal quartic forms 2015 Jörg Brüdern
Trevor D. Wooley
+ Random congruences 2015 Jörg Brüdern
Rainer Dietmann
+ PDF Chat Counting in hyperbolic spikes: The diophantine analysis of multihomogeneous diagonal equations 2015 Valentin Blomer
Jörg Brüdern
+ PDF The Hasse principle for systems of diagonal cubic forms 2015 Jörg Brüdern
Trevor D. Wooley
+ PDF Rational points on linear slices of diagonal hypersurfaces 2015 Jörg Brüdern
Olivier Robert
+ PDF Rational points on linear slices of diagonal hypersurfaces 2015 Jörg Brüdern
Olivier Robert
+ PDF ON THE ASYMPTOTIC FORMULA IN WARING'S PROBLEM: ONE SQUARE AND THREE FIFTH POWERS 2014 Jörg Brüdern
+ Analytic Number Theory 2014 Jörg Brüdern
Hugh L. Montgomery
R. C. Vaughan
Trevor D. Wooley
+ Random Diophantine equations, I 2014 Jörg Brüdern
Rainer Dietmann
+ Counting in hyperbolic spikes: the diophantine analysis of multihomogeneous diagonal equations 2014 Valentin Blomer
Jörg Brüdern
+ Sums of Squares Coprime in Pairs 2014 Jörg Brüdern
+ Counting in hyperbolic spikes: the diophantine analysis of multihomogeneous diagonal equations 2014 Valentin Blomer
Jörg Brüdern
+ PDF Chat On a certain senary cubic form 2013 Valentin Blomer
Jörg Brüdern
Per Salberger
+ ADDITIVE REPRESENTATION IN THIN SEQUENCES, VIII: DIOPHANTINE INEQUALITIES IN REVIEW 2013 Jörg Brüdern
KOICHI KAWADA
Trevor D. Wooley
+ PDF Subconvexity for additive equations: Pairs of undenary cubic forms 2013 Jörg Brüdern
Trevor D. Wooley
+ Random diophantine equations, I 2012 Jörg Brüdern
Rainer Dietmann
+ PDF Chat Piatetski-Shapiro sequences 2012 Roger C. Baker
William D. Banks
Jörg Brüdern
Igor E. Shparlinski
Andreas Weingartner
+ Piatetski-Shapiro sequences 2012 Roger C. Baker
William D. Banks
Jörg Brüdern
Igor E. Shparlinski
Andreas Weingartner
+ Small values of diagonal cubic forms 2012 Jörg Brüdern
+ Random Diophantine inequalities of additive type 2012 Jörg Brüdern
Rainer Dietmann
+ PDF On Waring's problem for two cubes and two small cubes 2012 Jörg Brüdern
+ Piatetski-Shapiro sequences 2012 Roger C. Baker
William D. Banks
Jörg Brüdern
Igor E. Shparlinski
Andreas Weingartner
+ Random diophantine equations, I 2012 Jörg Brüdern
Rainer Dietmann
+ Daniel’s Twists of Hooley’s Delta Function 2011 Jörg Brüdern
+ The Density of Rational Points on a Certain Threefold 2011 Valentin Blomer
Jörg Brüdern
+ Random Diophantine inequalities of additive type 2011 Jörg Brüdern
Rainer Dietmann
+ PDF The localisation of primes in arithmetic progressions of irrational modulus 2011 Jörg Brüdern
Koichi Kawada
+ Random Diophantine inequalities of additive type 2011 Jörg Brüdern
Rainer Dietmann
+ PDF On Waring’s problem: Three cubes and a minicube 2010 Jörg Brüdern
Trevor D. Wooley
+ PDF On Waring’s problem: Three cubes and a minicube 2010 Jörg Brüdern
Trevor D. Wooley
+ PDF On the gaps between values of binary quadratic forms 2010 Jörg Brüdern
Rainer Dietmann
+ PDF Asymptotic Formulae for Pairs of Diagonal Cubic Equations 2010 Jörg Brüdern
Trevor D. Wooley
+ Random diophantine equations of additive type 2010 Jörg Brüdern
Rainer Dietmann
+ PDF Iterates of Vinogradov's quadric and prime paucity 2010 Valentin Blomer
Jörg Brüdern
+ A Birch–Goldbach theorem 2010 Jörg Brüdern
Rainer Dietmann
J. Y. Liu
Trevor D. Wooley
+ The asymptotic formulae in Waring's problem for cubes 2010 Jörg Brüdern
Trevor D. Wooley
+ Random diophantine equations of additive type 2010 Jörg Brüdern
Rainer Dietmann
+ The asymptotic formula in Waring’s problem for one square and seventeen fifth powers 2009 Jörg Brüdern
Koichi Kawada
+ PDF Sums of smooth squares 2009 Valentin Blomer
Jörg Brüdern
Rainer Dietmann
+ ADDITIVE REPRESENTATION IN THIN SEQUENCES, VIII: DIOPHANTINE INEQUALITIES IN REVIEW 2009 Jörg Brüdern
Koichi Kawada
Trevor D. Wooley
+ SPARSE VARIANCE FOR PRIMES IN ARITHMETIC PROGRESSION 2009 Jörg Brüdern
Trevor D. Wooley
+ PDF ON THE WARING–GOLDBACH PROBLEM FOR CUBES 2009 Jörg Brüdern
Koichi Kawada
+ Imperfect Mimesis of Weyl Sums 2009 Jörg Brüdern
Dirk Daemen
+ Analytic Number Theory 2008 Jörg Brüdern
Hugh L. Montgomery
R. C. Vaughan
+ The number of integer points on Vinogradov’s quadric 2008 Valentin Blomer
Jörg Brüdern
+ PDF Additive Representation in Thin Sequences, VII: Restricted Moments of the Number of Representations 2008 Jörg Brüdern
Koichi Kawada
Trevor D. Wooley
+ PDF Counting Diophantine Approximations 2008 Jörg Brüdern
+ PDF Reprsentations of Natural Numbers as the Sum of a Prime and a $k$-th Power 2008 Jörg Brüdern
+ A QUADRIC WITH ARITHMETIC PAUCITY 2008 Valentin Blomer
Jörg Brüdern
+ Prime paucity for sums of two squares 2008 Valentin Blomer
Jörg Brüdern
+ A THREE SQUARES THEOREM WITH ALMOST PRIMES 2005 Valentin Blomer
Jörg Brüdern
+ PDF Additive representation in short intervals, I: Waring's problem for cubes 2004 Jörg Brüdern
Trevor D. Wooley
+ PDF Additive representation in thin sequences, V: Mixed problems of Waring's type 2003 Jörg Brüdern
Kiyokazu Kawada
Trevor D. Wooley
+ The Paucity Problem for Certain Pairs of Diagonal Equations 2003 Jörg Brüdern
+ Additive representation in thin sequences, VI: Representing primes, and related problems 2002 Jörg Brüdern
Kiyokazu Kawada
Trevor D. Wooley
+ PDF Hua's Lemma and Simultaneous Diagonal Equations 2002 Jörg Brüdern
Trevor D. Wooley
+ ON ARTIN'S CONJECTURE, II: PAIRS OF ADDITIVE FORMS 2002 Jörg Brüdern
Hemar Godinho
+ Ternary Problems in Additive Prime Number Theory 2002 Jörg Brüdern
Koichi Kawada
+ PDF On Waring’s problem: Three cubes and a sixth power 2001 Jörg Brüdern
Trevor D. Wooley
+ PDF Additive representation in thin sequences, I: Waring's problem for cubes 2001 Jörg Brüdern
Kiyokazu Kawada
Trevor D. Wooley
+ PDF Diophantine approximation by cubes of primes and an almost prime. II 2001 Jörg Brüdern
Angel Kumchev
+ None 2001 Jörg Brüdern
+ PDF Additive representation in thin sequences, III: asymptotic formulae 2001 Jörg Brüdern
Kiyokazu Kawada
Trevor D. Wooley
+ PDF On Waring's Problem for Cubes and Smooth Weyl Sums 2001 Jörg Brüdern
Trevor D. Wooley
+ A note on the distribution of sumsets 2001 Jörg Brüdern
Alberto Perelli
+ PDF On Waring’s Problem for Cubes and Smooth Weyl Sums 2001 Jörg Brüdern
Trevor D. Wooley
+ PDF On Waring's problem: two cubes and seven biquadrates 2000 Jörg Brüdern
Trevor D. Wooley
+ PDF Additive representation in thin sequences, II: The binary Goldbach problem 2000 Jörg Brüdern
Kiyokazu Kawada
Trevor D. Wooley
+ Binary additive problems, multiplicative sequences, and me Bateman-Horn conjecture (解析的整数論とその周辺) 2000 Jörg Brüdern
+ Binary additive problems, multiplicative sequences, and the Bateman-Horn conjecture (Analytic Number Theory and Related Topics) 2000 Jörg Brüdern
+ PDF Twins of k-free numbers and their exponential sum. 2000 Jörg Brüdern
Alberto Perelli
Trevor D. Wooley
+ Some additive problems of Goldbach's type 2000 Jörg Brüdern
+ On Waring's problem: a square, four cubes and a biquadrate 1999 Jörg Brüdern
Trevor D. Wooley
+ PDF On smooth gaps between consecutive prime numbers 1999 Antal Balog
Jörg Brüdern
Trevor D. Wooley
+ On Artin's Conjecture, I: Systems of Diagonal Forms 1999 Jörg Brüdern
Hemar Godinho
+ Exponential sums and additive problems involving square-free numbers 1999 Jörg Brüdern
Alberto Perelli
+ The addition of binary cubic forms 1998 Jörg Brüdern
Trevor D. Wooley
+ On the exponential sum over k–free numbers 1998 Jörg Brüdern
Andrew Granville
Alberto Perelli
R. C. Vaughan
Trevor D. Wooley
+ PDF Goldbach numbers in sparse sequences 1998 Jörg Brüdern
Alberto Perelli
+ Goldbach Numbers and Uniform Distribution 1997 Jörg Brüdern
Alberto Perelli
+ 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
+ The Values of Binary Linear Forms at Prime Arguments 1997 Jörg Brüdern
Roger Cook
Alberto Perelli
+ PDF The Addition of Primes and Power 1996 Jörg Brüdern
Alberto Perelli
+ Cubic Diophantine Inequalities, II 1996 Jörg Brüdern
+ PDF Cubic Diophantine inequalities 1995 Roger C. Baker
Jörg Brüdern
Trevor D. Wooley
+ On Waring’s problem for four cubes 1995 Jörg Brüdern
Nigel Watt
+ Primzahlverteilung in arithmetischen Progressionen 1995 Jörg Brüdern
+ Vaughan-Identitäten und deren Anwendungen 1995 Jörg Brüdern
+ PDF A sieve approach to the Waring-Goldbach problem, II On the seven cubes theorem 1995 Jörg Brüdern
+ PDF A sieve approach to the Waring-Goldbach problem. I. Sums of four cubes 1995 Jörg Brüdern
+ Die Ideen Riemanns 1995 Jörg Brüdern
+ Einführung in die analytische Zahlentheorie 1995 Jörg Brüdern
+ Die Nullstellen der Zetafunktion 1995 Jörg Brüdern
+ Arithmetische Funktionen und Dirichlet-Reihen 1995 Jörg Brüdern
+ PDF Lagrange's Four Squares Theorem with almost prime variables. 1994 Jörg Brüdern
Étienne Fouvry
+ Small Solutions of Additive Cubic Equations 1994 Jörg Brüdern
+ On sums of two squarefull numbers 1994 Roger C. Baker
Jörg Brüdern
+ PDF Three additive congruences to a large prime modulus 1993 O. D. Atkinson
Jörg Brüdern
Roger Cook
+ Cubic Inequalities of Additive Type 1993 Jörg Brüdern
Roger Cook
+ PDF Pairs of quadratic forms modulo one 1993 Roger C. Baker
Jörg Brüdern
+ A note on cubic exponential sums 1993 Jörg Brüdern
+ Simultaneous additive congruences to a large prime modulus 1992 O. D. Atkinson
Jörg Brüdern
Roger Cook
+ PDF On simultaneous diagonal equations and inequalities 1992 Jörg Brüdern
Roger Cook
+ On pairs of cubic Diophantine inequalities 1991 Jörg Brüdern
Roger Cook
+ PDF Ternary additive problems of Waring's type. 1991 Jörg Brüdern
+ On Waring's problem for cubes 1991 Jörg Brüdern
+ Additive diophantine inequalities with mixed powers, III 1991 Jörg Brüdern
+ PDF Three additive cubic equations 1991 O. D. Atkinson
Jörg Brüdern
Roger Cook
+ THE FRACTIONAL PART OF αn<sup>k</sup> FOR SQUARE-FREE n 1991 Roger C. Baker
Jörg Brüdern
Gilbert Harman
+ On Waring's Problem for Fifth Powers and Some Related Topics 1990 Jörg Brüdern
+ On Pairs of Diagonal Cubic Forms 1990 Jörg Brüdern
+ PDF On pairs of additive cubic equations. 1988 Roger C. Baker
Jörg Brüdern
+ On Waring's problem for cubes and biquadrates. II 1988 Jörg Brüdern
+ PDF Cubic Diophantine inequalities 1988 Jörg Brüdern
+ On Waring's Problem for Cubes and Biquadrates 1988 Jörg Brüdern
+ A problem in additive number theory 1988 Jörg Brüdern
+ Additive Diophantine inequalities with mixed powers I 1987 Jörg Brüdern
+ Additive Diophantine inequalities with mixed powers II 1987 Jörg Brüdern
+ Sums of Squares and Higher Powers 1987 Jörg Brüdern
+ Sums of Squares and Higher Powers Ii 1987 Jörg Brüdern
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ The Hardy-Littlewood Method 1997 R. C. Vaughan
54
+ PDF A new iterative method in Waring's problem 1989 R. C. Vaughan
37
+ The Hardy-Littlewood method 1996 M. N. Huxley
31
+ A problem in additive number theory 1988 Jörg Brüdern
26
+ On Waring's problem for cubes. 1986 R. C. Vaughan
23
+ PDF Breaking classical convexity in Waring's problem: Sums of cubes and quasi-diagonal behaviour 1995 Jörg Brüdern
Trevor D. Wooley
18
+ Large Improvements in Waring's Problem 1992 Trevor D. Wooley
17
+ On Waring's Problem for Smaller Exponents 1986 R. C. Vaughan
13
+ Sums of Three Cubes 1985 R. C. Vaughan
12
+ On Waring's Problem for Cubes II 1989 R. C. Vaughan
12
+ On Waring's Problem: Some Refinements 1991 R. C. Vaughan
Trevor D. Wooley
11
+ Simultaneous equations of additive type 1969 H. Davenport
D. J. Lewis
11
+ Cubic equations of additive type 1966 H. Davenport
D. J. Lewis
11
+ PDF A reduction technique in Waring's problem, I 1993 Kent D. Boklan
10
+ PDF Additive representation in thin sequences, I: Waring's problem for cubes 2001 Jörg Brüdern
Kiyokazu Kawada
Trevor D. Wooley
10
+ Some problems of ?Partitio numerorum? (VI): Further researches in Waring's Problem 1925 G. H. Hardy
J. E. Littlewood
9
+ Rational points of bounded height on Fano varieties 1989 Jens Frankē
Yuri I. Manin
Yuri Tschinkel
9
+ On simultaneous additive equations II. 1991 Td Wooley
Trevor D. Wooley
9
+ PDF Vinogradov's mean value theorem via efficient congruencing 2012 Trevor D. Wooley
8
+ PDF The circle method and diagonal cubic forms 1998 D. R. Heath‐Brown
8
+ PDF Cubic Diophantine inequalities 1995 Roger C. Baker
Jörg Brüdern
Trevor D. Wooley
8
+ Additive Diophantine inequalities with mixed powers I 1987 Jörg Brüdern
8
+ PDF Further improvements in Waring's problem 1995 R. C. Vaughan
Trevor D. Wooley
8
+ Analytic Methods for Diophantine Equations and Diophantine Inequalities 2005 H. Davenport
T. D. Browning
8
+ PDF The Hasse principle for pairs of diagonal cubic forms 2007 Jörg Brüdern
Trevor D. Wooley
8
+ Indefinite quadratic forms in many variables 1956 H. Davenport
8
+ Diophantine approximation with square-free numbers 1984 D. R. Heath‐Brown
7
+ PDF On Waring’s problem 1986 C. Hooley
7
+ The Asymptotic Formula in Waring’s Problem 2012 Trevor D. Wooley
7
+ SOME RESULTS IN THE ADDITIVE PRIME-NUMBER THEORY 1938 Loo-Keng Hua
7
+ PDF The application of a new mean value theorem to the fractional parts of polynomials 1993 Trevor D. Wooley
7
+ PDF Further improvements in Waring's problem, IV: Higher powers 2000 R. C. Vaughan
Trevor D. Wooley
7
+ Additive Theory of Prime Numbers 2009 Hua Liu
7
+ Introduction to Analytic and Probabilistic Number Theory 2015 Gérald Tenenbaum
7
+ On diophantine inequalities: Freeman's asymptotic formulae 2003 Trevor D. Wooley
6
+ PDF The representation of numbers as sums of unlike powers. II 1996 Kevin Ford
6
+ On Indefinite Quadratic Forms in Five Variables 1946 H. Davenport
H. Heilbronn
6
+ On the sum of four cubes 1996 Koichi Kawada
6
+ Homogeneous additive equations 1963 H. Davenport
D. J. Lewis
6
+ Diophantine inequalities with mixed powers 1984 Roger C. Baker
G. Harman
6
+ PDF On Waring’s problem for cubes 1939 H. Davenport
6
+ The solubility of certain Diophantine inequalities 1955 H. Davenport
K. F. Roth
6
+ PDF Additive representation in thin sequences, II: The binary Goldbach problem 2000 Jörg Brüdern
Kiyokazu Kawada
Trevor D. Wooley
6
+ On the Additive Theory of Prime Numbers 2008 Patrick Cégielski
Denis Richard
Maxim Vsemirnov
6
+ On a New Technique and Its Applications to the Theory of Numbers 1979 C. Hooley
6
+ On Waring's problem for smaller exponents. II 1986 R. C. Vaughan
6
+ PDF New Estimates for Smooth Weyl Sums 1995 Trevor D. Wooley
6
+ Sums of Squares and Higher Powers 1987 Jörg Brüdern
6
+ PDF On Waring's Problem for Cubes and Smooth Weyl Sums 2001 Jörg Brüdern
Trevor D. Wooley
6
+ On Pairs of Diagonal Cubic Forms 1990 Jörg Brüdern
6