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Maximal line-free sets in $$\mathbb {F}_p^n$$
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2025
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Christian Elsholtz
Jakob Führer
Erik Füredi
Benedek Kovács
Péter Pál Pach
D. Simon
Nóra Velich
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Sumsets in the set of squares
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2024
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Christian Elsholtz
Lena Wurzinger
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PDF
Chat
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Improving Behrend's construction: Sets without arithmetic progressions
in integers and over finite fields
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2024
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Christian Elsholtz
Zach Hunter
Laura Proske
Lisa Sauermann
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New lower bounds for three-term progression free sets in $\mathbb{F}_p^n$
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2024
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Christian Elsholtz
Laura Proske
Lisa Sauermann
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PDF
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Algorithmic counting of nonequivalent compact Huffman codes
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2023
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Christian Elsholtz
Clemens Heuberger
Daniel Krenn
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+
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Maximal line-free sets in $\mathbb{F}_p^n$
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2023
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Christian Elsholtz
Jakob Führer
Erik Füredi
Benedek Kovács
Péter Pál Pach
D. Simon
Nóra Velich
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+
PDF
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Exponentially larger affine and projective caps
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2022
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Christian Elsholtz
Gabriel F. Lipnik
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PDF
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Large subsets of $$\mathbb {Z}_m^n$$ without arithmetic progressions
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2022
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Christian Elsholtz
Benjamin Klahn
Gabriel F. Lipnik
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PDF
Chat
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Longer Gaps Between Values of Binary Quadratic Forms
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2022
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Rainer Dietmann
Christian Elsholtz
Alexander Kalmynin
Sergeĭ Konyagin
James Maynard
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On polynomials with roots modulo almost all primes
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2022
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Christian Elsholtz
Benjamin Klahn
Marc Technau
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+
PDF
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On polynomials with roots modulo almost all primes
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2022
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Christian Elsholtz
Benjamin Klahn
Marc Technau
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+
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Egyptian Fractions
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2022
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Thomas F. Bloom
Christian Elsholtz
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+
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Large Subsets of $\mathbb{Z}_m^n$ without Arithmetic Progressions
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2022
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Christian Elsholtz
Benjamin Klahn
Gabriel F. Lipnik
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+
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Exponentially Larger Affine and Projective Caps
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2022
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Christian Elsholtz
Gabriel F. Lipnik
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+
PDF
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Fermat’s Last Theorem Implies Euclid’s Infinitude of Primes
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2021
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Christian Elsholtz
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PDF
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Sums of four and more unit fractions and approximate parametrizations
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2021
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Christian Elsholtz
Stefan Planitzer
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+
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Sums of four and more unit fractions and approximate parametrizations
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2020
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Christian Elsholtz
Stefan Planitzer
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+
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Fermat's Last Theorem guarantees primes
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2020
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Christian Elsholtz
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+
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Fermat's Last Theorem Implies Euclid's Infinitude of Primes
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2020
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Christian Elsholtz
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+
PDF
Chat
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Unconditional Prime-Representing Functions, Following Mills
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2020
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Christian Elsholtz
|
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+
PDF
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Caps and progression-free sets in $${{\mathbb {Z}}}_m^n$$
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2020
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Christian Elsholtz
Péter Pál Pach
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+
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Unconditional Prime-representing Functions, Following Mills.
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2020
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Christian Elsholtz
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+
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Sums of four and more unit fractions and approximate parametrizations
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2020
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Christian Elsholtz
Stefan Planitzer
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+
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Fermat's Last Theorem Implies Euclid's Infinitude of Primes
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2020
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Christian Elsholtz
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+
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Unconditional Prime-representing Functions, Following Mills
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2020
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Christian Elsholtz
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+
PDF
Chat
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The density of integers representable as the sum of four prime cubes
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2019
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Christian Elsholtz
Jan-Christoph Schlage-Puchta
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+
PDF
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Arithmetic progressions in binary quadratic forms and norm forms
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2019
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Christian Elsholtz
Christopher Frei
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+
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Caps and progression-free sets in $\mathbb{Z}_m^n$
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2019
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Christian Elsholtz
Péter Pál Pach
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+
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The density of integers representable as the sum of four prime cubes
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2019
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Christian Elsholtz
Jan‐Christoph Schlage‐Puchta
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+
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Algorithmic counting of nonequivalent compact Huffman codes
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2019
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Christian Elsholtz
Clemens Heuberger
Daniel Krenn
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+
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The number of solutions of the Erdős-Straus Equation and sums of<i>k</i>unit fractions
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2019
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Christian Elsholtz
Stefan Planitzer
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+
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Sums of two numbers having only prime factors congruent to one modulo four
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2019
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Rainer Dietmann
Christian Elsholtz
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+
PDF
Chat
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THE MAXIMAL ORDER OF ITERATED MULTIPLICATIVE FUNCTIONS
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2019
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Christian Elsholtz
Marc Technau
Niclas Technau
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+
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Caps and progression-free sets in $\mathbb{Z}_m^n$
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2019
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Christian Elsholtz
Péter Pál Pach
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+
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The density of integers representable as the sum of four prime cubes
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2019
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Christian Elsholtz
Jan‐Christoph Schlage‐Puchta
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+
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Longer gaps between values of binary quadratic forms
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2018
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Rainer Dietmann
Christian Elsholtz
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+
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The number of solutions of the Erd\H{o}s-Straus Equation and sums of $k$ unit fractions
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2018
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Christian Elsholtz
Stefan Planitzer
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+
PDF
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Romanov type problems
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2018
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Christian Elsholtz
Florian Luca
Stefan Planitzer
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+
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Longer gaps between values of binary quadratic forms
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2018
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Rainer Dietmann
Christian Elsholtz
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+
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The number of solutions of the Erdős-Straus Equation and sums of $k$ unit fractions
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2018
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Christian Elsholtz
Stefan Planitzer
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+
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On Romanov’s constant
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2017
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Christian Elsholtz
Jan‐Christoph Schlage‐Puchta
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+
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Maximal sum-free sets of integer lattice grids
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2017
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Christian Elsholtz
Laurence Rackham
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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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Number Theory – Diophantine Problems, Uniform Distribution and Applications
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2017
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Christian Elsholtz
Peter J. Grabner
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+
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Golomb’s Conjecture on Prime Gaps
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2017
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Christian Elsholtz
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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
Chat
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On the regularity of primes in arithmetic progressions
|
2016
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Christian Elsholtz
Niclas Technau
Robert F. Tichy
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PDF
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On Erdős and Sárközy’s sequences with Property P
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2016
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Christian Elsholtz
Stefan Planitzer
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+
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On Erdős and Sárközy's sequences with Property P
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2016
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Christian Elsholtz
Stefan Planitzer
|
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+
PDF
Chat
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EGYPTIAN FRACTIONS WITH ODD DENOMINATORS
|
2016
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Christian Elsholtz
|
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+
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Egyptian Fractions with odd denominators
|
2016
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Christian Elsholtz
|
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+
PDF
Chat
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ALMOST ALL PRIMES HAVE A MULTIPLE OF SMALL HAMMING WEIGHT
|
2016
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Christian Elsholtz
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+
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Golomb's conjecture on prime gaps
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2016
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Christian Elsholtz
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+
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On the regularity of primes in arithmetic progressions
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2016
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Christian Elsholtz
Niclas Technau
Robert F. Tichy
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+
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Prescribing the binary digits of squarefree numbers and quadratic residues
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2016
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Rainer Dietmann
Christian Elsholtz
Igor E. Shparlinski
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+
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Sums of Two Squares and a Power
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2016
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Rainer Dietmann
Christian Elsholtz
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+
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Prescribing the binary digits of squarefree numbers and quadratic residues
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2016
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Rainer Dietmann
Christian Elsholtz
Igor E. Shparlinski
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+
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Sums of two squares and a power
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2016
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Rainer Dietmann
Christian Elsholtz
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+
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Golomb's conjecture on prime gaps
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2016
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Christian Elsholtz
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+
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On the regularity of primes in arithmetic progressions
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2016
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Christian Elsholtz
Niclas Technau
Robert F. Tichy
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+
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Egyptian Fractions with odd denominators
|
2016
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Christian Elsholtz
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+
PDF
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Hilbert cubes in arithmetic sets
|
2015
|
Rainer Dietmann
Christian Elsholtz
|
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+
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Hilbert cubes in arithmetic sets
|
2015
|
Rainer Dietmann
Christian Elsholtz
|
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+
PDF
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Congruence properties of multiplicative functions on sumsets and monochromatic solutions of linear equations
|
2015
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Christian Elsholtz
David S. Gunderson
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+
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On Conjectures of T. Ordowski and Z.W. Sun Concerning Primes and Quadratic Forms
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2015
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Christian Elsholtz
Glyn Harman
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+
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Hilbert cubes in arithmetic sets
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2015
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Rainer Dietmann
Christian Elsholtz
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+
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Additive decompositions of sets with restricted prime factors
|
2014
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Christian Elsholtz
Adam J. Harper
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+
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On Diophantine quintuples and $$D(-1)$$ D ( - 1 ) -quadruples
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2013
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Christian Elsholtz
Alan Filipin
Yasutsugu Fujita
|
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+
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Additive decompositions of sets with restricted prime factors
|
2013
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Christian Elsholtz
Adam J. Harper
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+
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Sumsets being squares
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2013
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Andrej Dujella
Christian Elsholtz
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+
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On gaps between quadratic non-residues in the Euclidean and Hamming metrics
|
2013
|
Rainer Dietmann
Christian Elsholtz
Igor E. Shparlinski
|
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+
PDF
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COUNTING THE NUMBER OF SOLUTIONS TO THE ERDŐS–STRAUS EQUATION ON UNIT FRACTIONS
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2013
|
Christian Elsholtz
Terence Tao
|
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+
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Additive decompositions of sets with restricted prime factors
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2013
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Christian Elsholtz
Adam J. Harper
|
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+
PDF
Chat
|
The Number of Huffman Codes, Compact Trees, and Sums of Unit Fractions
|
2012
|
Christian Elsholtz
Clemens Heuberger
Helmut Prodinger
|
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+
PDF
Chat
|
ON GAPS BETWEEN PRIMITIVE ROOTS IN THE HAMMING METRIC
|
2012
|
Rainer Dietmann
Christian Elsholtz
Igor E. Shparlinski
|
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+
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On Gaps Between Primitive Roots in the Hamming Metric
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2012
|
Rainer Dietmann
Christian Elsholtz
Igor E. Shparlinski
|
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+
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Hilbert cubes in progression-free sets and in the set of squares
|
2012
|
Rainer Dietmann
Christian Elsholtz
|
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+
PDF
|
Egyptian fractions with restrictions
|
2012
|
Yong-Gao Chen
Christian Elsholtz
Jiang Lili
|
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+
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Prime Divisors of Thin Sequences
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2012
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Christian Elsholtz
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+
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Hilbert cubes in progression-free sets and in the set of squares II
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2012
|
Rainer Dietmann
Christian Elsholtz
|
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+
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On Gaps Between Primitive Roots in the Hamming Metric
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2012
|
Rainer Dietmann
Christian Elsholtz
Igor E. Shparlinski
|
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+
PDF
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A Problem of Ramanujan, Erdős, and Kátai on the Iterated Divisor Function
|
2011
|
Yvonne Buttkewitz
Christian Elsholtz
Kevin Ford
Jan-Christoph Schlage-Puchta
|
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+
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Patterns and complexity of multiplicative functions
|
2011
|
Yvonne Buttkewitz
Christian Elsholtz
|
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+
PDF
|
The Central Limit Theorem for Subsequences in Probabilistic Number Theory
|
2011
|
Christoph Aistleitner
Christian Elsholtz
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+
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A problem of Ramanujan, Erdos and Katai on the iterated divisor function
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2011
|
Yvonne Buttkewitz
Christian Elsholtz
Kevin Ford
Jan‐Christoph Schlage‐Puchta
|
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+
PDF
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The number of representations of rationals as a sum of unit fractions
|
2011
|
T. D. Browning
Christian Elsholtz
|
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+
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Counting the number of solutions to the Erdos-Straus equation on unit fractions
|
2011
|
Christian Elsholtz
Terence Tao
|
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+
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A problem of Ramanujan, Erdos and Katai on the iterated divisor function
|
2011
|
Yvonne Buttkewitz
Christian Elsholtz
Kevin R. Ford
Jan‐Christoph Schlage‐Puchta
|
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+
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A Combinatorial Approach to Sums of Two Squares and Related Problems
|
2010
|
Christian Elsholtz
|
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+
PDF
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Non-simple abelian varieties in a family: geometric and analytic approaches
|
2009
|
Jordan S. Ellenberg
Christian Elsholtz
Chris Hall
Emmanuel Kowalski
|
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+
PDF
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A survey on additive and multiplicative decompositions of sumsets and of shifted sets
|
2009
|
Christian Elsholtz
|
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+
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Sums of two squares and one biquadrate
|
2008
|
Rainer Dietmann
Christian Elsholtz
|
|
+
PDF
|
Multiplicative decomposability of shifted sets
|
2008
|
Christian Elsholtz
|
|
+
PDF
|
The number Γ(k) in Waring's problem
|
2008
|
Christian Elsholtz
|
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+
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Non-simple abelian varieties in a family: geometric and analytic approaches
|
2008
|
Jordan S. Ellenberg
Christian Elsholtz
Chris Hall
Emmanuel Kowalski
|
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+
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On equitable zero sums
|
2007
|
Ernie Croot
Christian Elsholtz
|
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+
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Sudoku im Mathematikunterricht
|
2007
|
Christian Elsholtz
Annette Mütze
|
|
+
|
On equitable zero sums
|
2007
|
Ernie Croot
Christian Elsholtz
|
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+
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ZERO-SUM PROBLEMS IN FINITE ABELIAN GROUPS AND AFFINE CAPS
|
2006
|
Yves Edel
Christian Elsholtz
Alfred Geroldinger
Silke Kubertin
Laurence Rackham
|
|
+
PDF
|
A Short Survey on Upper and Lower Bounds for Multidimensional Zero Sums
|
2006
|
Christian Elsholtz
|
|
+
PDF
|
Additive decomposability of multiplicatively defined sets
|
2006
|
Christian Elsholtz
|
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+
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Shifted products that are coprime pure powers
|
2005
|
Rainer Dietmann
Christian Elsholtz
Katalin Gyarmati
Miklós Simonovits
|
|
+
PDF
Chat
|
On thin sets of primes expressible as sumsets
|
2005
|
Ernest S. Croot
Christian Elsholtz
|
|
+
PDF
|
Maximal Dimension of Unit Simplices
|
2004
|
Christian Elsholtz
Walter Klotz
|
|
+
|
Lower Bounds For Multidimensional Zero Sums
|
2004
|
Christian Elsholtz
|
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+
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Upper bounds for prime k -tuples of size log N and oscillations
|
2004
|
Christian Elsholtz
|
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+
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On variants of the larger sieve
|
2004
|
Ernest S. Croot
Christian Elsholtz
|
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+
|
Kombinatorische Beweise des Zweiquadratesatzes und Verallgemeinerungen
|
2003
|
Christian Elsholtz
|
|
+
PDF
|
On cluster primes
|
2003
|
Christian Elsholtz
|
|
+
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Triples of primes in arithmetic progressions
|
2002
|
Christian Elsholtz
|
|
+
PDF
|
The distribution of sequences in residue classes
|
2002
|
Christian Elsholtz
|
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+
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On Thin Sets of Primes Expressible as Sumsets
|
2002
|
Ernie Croot
Christian Elsholtz
|
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+
|
The inverse Goldbach problem
|
2001
|
Christian Elsholtz
|
|
+
PDF
|
Sums of $k$ unit fractions
|
2001
|
Christian Elsholtz
|
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+
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A remark on Hofmann and Wolke's additive decompositions of the set of primes
|
2001
|
Christian Elsholtz
|