James Maynard

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All published works
Action Title Year Authors
+ Primes in Arithmetic Progressions to Large Moduli III: Uniform Residue Classes 2025 James Maynard
+ Primes in Arithmetic Progressions to Large Moduli II: Well-Factorable Estimates 2025 James Maynard
+ Primes in Arithmetic Progressions to Large Moduli I: Fixed Residue Classes 2025 James Maynard
+ PDF Chat New large value estimates for Dirichlet polynomials 2024 Larry Guth
James Maynard
+ Counting primes 2023 James Maynard
+ Skolem Meets Bateman-Horn 2023 Florian Luca
James Maynard
Armand Noubissie
Joël Ouaknine
James Worrell
+ PDF On the largest prime factor of quartic polynomial values: the cyclic and dihedral cases 2022 Cécile Dartyge
James Maynard
+ On the largest prime factor of quartic polynomial values 2022 Cécile Dartyge
James Maynard
+ PDF Chat A new upper bound for sets with no square differences 2022 Thomas F. Bloom
James Maynard
+ PDF Chat Longer Gaps Between Values of Binary Quadratic Forms 2022 Rainer Dietmann
Christian Elsholtz
Alexander Kalmynin
Sergeĭ Konyagin
James Maynard
+ Metric theory of Weyl sums 2022 Changhao Chen
Bryce Kerr
James Maynard
Igor E. Shparlinski
+ PDF Primes and Polynomials With Restricted Digits 2021 James Maynard
+ PDF Simultaneous Small Fractional Parts of Polynomials 2021 James Maynard
+ PDF Chat Sieve weights and their smoothings 2021 Andrew Granville
Dimitris Koukoulopoulos
James Maynard
+ Simultaneous small fractional parts of polynomials 2020 James Maynard
+ Metric theory of Weyl sums 2020 Changhao Chen
Bryce Kerr
James Maynard
Igor E. Shparlinski
+ PDF Chat Long gaps in sieved sets 2020 Kevin Ford
Sergey Konyagin
James Maynard
Carl Pomerance
Terence Tao
+ PDF On the Duffin-Schaeffer conjecture 2020 Dimitris Koukoulopoulos
James Maynard
+ PDF PRIMES REPRESENTED BY INCOMPLETE NORM FORMS 2020 James Maynard
+ Primes in arithmetic progressions to large moduli I: Fixed residue classes 2020 James Maynard
+ Primes in arithmetic progressions to large moduli III: Uniform residue classes 2020 James Maynard
+ Primes in arithmetic progressions to large moduli II: Well-factorable estimates 2020 James Maynard
+ PDF Large gaps between primes 2019 James Maynard
+ Gaps between primes 2019 James Maynard
+ On the Twin Prime Conjecture 2019 James Maynard
+ On the Duffin-Schaeffer conjecture 2019 Dimitris Koukoulopoulos
James Maynard
+ The twin prime conjecture 2019 James Maynard
+ GAPS BETWEEN PRIMES 2019 James Maynard
+ PDF Primes with restricted digits 2019 James Maynard
+ A lower bound on the LCM of polynomial sequences 2019 James Maynard
Zeév Rudnick
+ On the Twin Prime Conjecture 2019 James Maynard
+ Digits of primes 2018 James Maynard
+ Sign changes of Kloosterman sums and exceptional characters 2018 Sary Drappeau
James Maynard
+ Chains of Large Gaps Between Primes 2018 Kevin Ford
James Maynard
Terence Tao
+ Machine-Assisted Proofs (ICM 2018 Panel) 2018 James H. Davenport
Bjorn Poonen
James Maynard
H. A. Helfgott
Pham Huu Tiep
Luís Cruz-Filipe
+ PDF Chat Vinogradov's theorem with almost equal summands 2017 Kaisa Matomäki
James Maynard
Xuancheng Shao
+ Long gaps between primes 2017 Kevin Ford
Ben Green
Sergeĭ Konyagin
James Maynard
Terence Tao
+ PDF Chat On limit points of the sequence of normalized prime gaps 2016 William D. Banks
Tristan Freiberg
James Maynard
+ Sieve weights and their smoothings 2016 Andrew Granville
Dimitris Koukoulopoulos
James Maynard
+ PDF Chat Large gaps between primes 2016 James Maynard
+ Primes with restricted digits 2016 James Maynard
+ PDF Dense clusters of primes in subsets 2016 James Maynard
+ Primes and polynomials with restricted digits 2015 James Maynard
+ Primes represented by incomplete norm forms 2015 James Maynard
+ Bounded length intervals containing two primes and an almost-prime II 2015 James Maynard
+ Sums of Two Squares in Short Intervals 2015 James Maynard
+ PDF Small gaps between primes 2014 James Maynard
+ Large gaps between primes 2014 James Maynard
+ Dense clusters of primes in subsets 2014 James Maynard
+ Long gaps between primes 2014 Kevin Ford
Ben Green
Sergeĭ Konyagin
James Maynard
Terence Tao
+ ALMOST‐PRIME ‐TUPLES 2013 James Maynard
+ PDF Chat 3-tuples have at most 7 prime factors infinitely often 2013 James Maynard
+ PDF Chat Bounded length intervals containing two primes and an almost-prime 2013 James Maynard
+ Topics in analytic number theory 2013 James Maynard
+ PDF On the Brun–Titchmarsh theorem 2013 James Maynard
+ Almost-prime $k$-tuples 2012 James Maynard
+ On the Brun-Titchmarsh Theorem 2012 James Maynard
+ On the difference between consecutive primes 2012 James Maynard
+ Loops and Subroutines 1985 James Maynard
+ Introduction to COBOL 1985 James Maynard
+ Probability and Statistical Inference for Scientists and Engineers 1976 James Maynard
+ An Approximate Pitman-Type “Close” Estimator for the Negative Binomial Parameter p 1972 James Maynard
Bryant Chow
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Small gaps between primes 2014 James Maynard
16
+ PDF Bounded gaps between primes 2014 Zhang Yitang
14
+ PDF Chat Large gaps between consecutive prime numbers 2016 Kevin Ford
Ben Green
Sergeĭ Konyagin
Terence Tao
10
+ Opera de Cribro 2010 John Friedlander
Henryk Iwaniec
9
+ The Difference between Consecutive Prime Numbers, III 1947 R. A. Rankin
9
+ PDF Primes in arithmetic progressions to large moduli 1986 Enrico Bombieri
John Friedlander
Henryk Iwaniec
9
+ ON THE REPRESENTATION OF A LARGER EVEN INTEGER AS THE SUM OF A PRIME AND THE PRODUCT OF AT MOST TWO PRIMES 1973 Chen Jing-Run
8
+ Primes in arithmetic progressions to large Moduli. II 1987 Enrico Bombieri
John Friedlander
Henryk Iwaniec
8
+ Very Large Gaps between Consecutive Primes 1997 J. Pintz
7
+ PDF Chat Large gaps between primes 2016 James Maynard
7
+ PDF Bounded gaps between primes with a given primitive root 2014 Paul Pollack
7
+ PDF Chat Small gaps between products of two primes 2008 D. A. Goldston
S. W. Graham
J. Pintz
C. Y. Yıldırım
7
+ Multiplicative Number Theory 1980 H. Davenport
7
+ On the large sieve 1965 Enrico Bombieri
7
+ PDF Variants of the Selberg sieve, and bounded intervals containing many primes 2014 DHJ Polymath
7
+ Long gaps between primes 2017 Kevin Ford
Ben Green
Sergeĭ Konyagin
James Maynard
Terence Tao
7
+ PDF On a theorem of Bombieri–Vinogradov type 1980 Étienne Fouvry
Henryk Iwaniec
6
+ LIMIT POINTS AND LONG GAPS BETWEEN PRIMES: Table 1. 2016 Roger C. Baker
Tristan Freiberg
6
+ PDF Dense clusters of primes in subsets 2016 James Maynard
6
+ PDF Prime Numbers in Short Intervals and a Generalized Vaughan Identity 1982 D. R. Heath‐Brown
6
+ PDF Unusually large gaps between consecutive primes 1990 Helmut Maier
Carl Pomerance
6
+ PDF The Difference between Consecutive Prime Numbers V 1963 R. A. Rankin
6
+ PDF Primes in tuples I 2009 D. A. Goldston
J. Pintz
C. Y. Yıldırım
6
+ PDF On the order of magnitude of the difference between consecutive prime numbers 1936 Harald Cramér
5
+ PDF Linear equations in primes 2010 Ben Green
Terence Tao
5
+ None 2001 Sergeĭ Konyagin
5
+ PDF Autour du théorème de Bombieri-Vinogradov 1984 Étienne Fouvry
5
+ Prime-detecting sieves 2008 G. Harman
5
+ The Density Hypothesis for Dirichlet L-Series 2002 А. И. Виноградов
5
+ PDF Primes in arithmetic progressions 1983 Étienne Fouvry
Henryk Iwaniec
5
+ PDF The difference of consecutive primes 1940 P. Erdős
5
+ PDF Bounded gaps between primes in Chebotarev sets 2014 Jesse Thorner
5
+ Kloosterman sums and Fourier coefficients of cusp forms 1982 Jean-Marc Deshouillérs
Henryk Iwaniec
5
+ On Arithmetic Properties of Integers with Missing Digits I: Distribution in Residue Classes 1998 Paul Erdös
Christian Mauduit
Andràs Sárközy
5
+ PDF Chen's double sieve, Goldbach's conjecture and the twin prime problem 2004 Jie Wu
4
+ PDF Character sums over integers with restricted $g$-ary digits 2002 William D. Banks
Alessandro Conflitti
Igor E. Shparlinski
4
+ PDF ON THE DIFFERENCE OF CONSECUTIVE PRIMES 1935 P. Erdős
4
+ PDF Chat Bounded Gaps Between Primes of a Special Form 2015 Hongze Li
Hao Pan
4
+ PDF Chat Consecutive primes in tuples 2015 William D. Banks
Tristan Freiberg
Caroline L. Turnage‐Butterbaugh
4
+ PDF Arithmetic properties of numbers with restricted digits 2004 William D. Banks
Igor E. Shparlinski
4
+ On the uniform distribution modulo one of some subsequences of polynomial sequences 1978 Jean Coquet
4
+ MULTIPLICATIVE NUMBER THEORY 1970 Enrico Bombieri
4
+ A Brun-Titschmarsh theorem for multiplicative functions. 1980 Peter Shiu
4
+ PDF The Difference Between Consecutive Primes, II 2001 Roger C. Baker
G. Harman
J. Pintz
4
+ PDF Proof of the main conjecture in Vinogradov's Mean Value Theorem \break for degrees higher than three 2016 Jean Bourgain
Ciprian Demeter
Larry Guth
4
+ PDF Chat Vinogradov’s three primes theorem with almost twin primes 2017 Kaisa Matomäki
Xuancheng Shao
4
+ PDF Sur un problème de Gelfond : la somme des chiffres des nombres premiers 2010 Christian Mauduit
Joël Rivat
4
+ PDF Diviseurs Des Nombres Ellipséphiques 2009 Sylvain Col
4
+ Weyl sums over integers with affine digit restrictions 2010 Michael Drmota
Christian Mauduit
4
+ PDF Some problems of ‘Partitio numerorum’; III: On the expression of a number as a sum of primes 1923 G. H. Hardy
J. E. Littlewood
4