## Ford, Kevin B.

Compute Distance To:
 Author ID: ford.kevin-b Published as: Ford, Kevin; Ford, Kevin B.; Ford, K. more...less External Links: MGP · Wikidata
 Documents Indexed: 92 Publications since 1993 Co-Authors: 54 Co-Authors with 60 Joint Publications 2,135 Co-Co-Authors
all top 5

### Co-Authors

 32 single-authored 20 Konyagin, Sergeĭ Vladimirovich 10 Luca, Florian 7 Zaharescu, Alexandru 6 Pomerance, Carl Bernard 6 Shparlinski, Igor E. 4 Green, Ben Joseph 4 Tao, Terence 3 Bourgain, Jean 3 Eberhard, Sean 3 Maynard, James 2 Alkan, Emre 2 Dilworth, Stephen J. 2 Filaseta, Michael A. 2 Hudson, Richard H. 2 Khan, Mizan R. 2 Kutzarova, Denka N. 2 Lamzouri, Youness 2 Pollack, Paul 2 Tenenbaum, Gérald 1 Addario-Berry, Louigi 1 Banks, William D. 1 Bays, Carter 1 Broughan, Kevin A. 1 Buttkewitz, Yvonne 1 Cobeli, Cristian 1 de la Bretèche, Régis 1 Dewitt, Jonathan 1 Diamond, Harold George 1 Elsholtz, Christian 1 Gabdullin, Mikhail R. 1 Garaev, Moubariz Z. 1 Goldstein, Eli 1 Halberstam, Heini 1 Harper, Adam J. 1 Heath-Brown, Roger 1 Hu, Yong 1 Koukoulopoulos, Dimitris 1 Meng, Xianchang 1 Miller, Steven J. 1 Moree, Pieter 1 Moreland, Gwyneth 1 Palsson, Eyvindur Ari 1 Pappalardi, Francesco 1 Qian, Guoyou 1 Rubinstein, Michael O. 1 Schlage-Puchta, Jan-Christoph 1 Senger, Steven 1 Shallit, Jeffrey O. 1 Sneed, Jason 1 Soundararajan, Kannan 1 Vandehey, Joseph 1 Wooley, Trevor D. 1 Yankov, Christian L. 1 Yu, Gang
all top 5

### Serials

 6 Acta Arithmetica 5 IMRN. International Mathematics Research Notices 4 Proceedings of the American Mathematical Society 3 Bulletin of the London Mathematical Society 3 Duke Mathematical Journal 3 Transactions of the American Mathematical Society 3 Journal of the American Mathematical Society 3 Annals of Mathematics. Second Series 2 Lithuanian Mathematical Journal 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Journal of the London Mathematical Society. Second Series 2 Journal of Number Theory 2 Mathematische Annalen 2 Monatshefte für Mathematik 2 The Ramanujan Journal 2 The Quarterly Journal of Mathematics 2 Algebra & Number Theory 1 Bulletin of the Australian Mathematical Society 1 Journal d’Analyse Mathématique 1 Periodica Mathematica Hungarica 1 Mathematics of Computation 1 Acta Mathematica 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Compositio Mathematica 1 Functiones et Approximatio. Commentarii Mathematici 1 Illinois Journal of Mathematics 1 Journal für die Reine und Angewandte Mathematik 1 Mathematika 1 Michigan Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Statistics & Probability Letters 1 Combinatorica 1 Acta Mathematica Hungarica 1 Probability Theory and Related Fields 1 Forum Mathematicum 1 The Annals of Applied Probability 1 Geometric and Functional Analysis. GAFA 1 Experimental Mathematics 1 Electronic Research Announcements of the American Mathematical Society 1 Smarandache Notions Journal 1 Journal of the European Mathematical Society (JEMS) 1 Integers 1 Journal of the Australian Mathematical Society 1 International Journal of Number Theory 1 Proceedings of the Steklov Institute of Mathematics 1 Rivista di Matematica della Università di Parma. New Series 1 Moscow Journal of Combinatorics and Number Theory 1 Discrete Analysis
all top 5

### Fields

 83 Number theory (11-XX) 8 Combinatorics (05-XX) 5 Group theory and generalizations (20-XX) 5 Probability theory and stochastic processes (60-XX) 4 Statistics (62-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

71 Publications have been cited 537 times in 432 Documents Cited by Year
The distribution of integers with a divisor in a given interval. Zbl 1181.11058
Ford, Kevin
2008
Explicit constructions of RIP matrices and related problems. Zbl 1236.94027
Bourgain, Jean; Dilworth, Stephen; Ford, Kevin; Konyagin, Sergei; Kutzarova, Denka
2011
Vinogradov’s integral and bounds for the Riemann zeta function. Zbl 1034.11044
Ford, Kevin
2002
On the divisibility of Fermat quotients. Zbl 1223.11116
Bourgain, Jean; Ford, Kevin; Konyagin, Sergei V.; Shparlinski, Igor E.
2010
The distribution of totients. Zbl 0914.11053
Ford, Kevin
1998
Long gaps between primes. Zbl 1392.11071
Ford, Kevin; Green, Ben; Konyagin, Sergei; Maynard, James; Tao, Terence
2018
Sums and products from a finite set of real numbers. Zbl 0908.11008
Ford, Kevin
1998
Large gaps between consecutive prime numbers. Zbl 1338.11083
Ford, Kevin; Green, Ben; Konyagin, Sergei; Tao, Terence
2016
The number of solutions of $$\varphi (x)=m$$. Zbl 0978.11053
Ford, Kevin
1999
Sieving by large integers and covering systems of congruences. Zbl 1210.11020
Filaseta, Michael; Ford, Kevin; Konyagin, Sergei; Pomerance, Carl; Yu, Gang
2007
New estimates for mean values of Weyl sums. Zbl 0821.11050
Ford, Kevin B.
1995
On an irreducibility theorem of A. Schinzel associated with coverings of the integers. Zbl 0966.11046
Filaseta, M.; Ford, K.; Konyagin, S.
2000
Values of the Euler $$\varphi$$-function not divisible by a given odd prime, and the distribution of Euler-Kronecker constants for cyclotomic fields. Zbl 1294.11164
Ford, Kevin; Luca, Florian; Moree, Pieter
2014
On the maximal difference between an element and its inverse in residue rings. Zbl 1131.11005
Ford, Kevin; Khan, Mizan R.; Shparlinski, Igor E.; Yankov, Christian L.
2005
On the distribution of imaginary parts of zeros of the Riemann zeta function. II. Zbl 1160.11042
Ford, Kevin; Soundararajan, Kannan; Zaharescu, Alexandru
2009
Zero-free regions for the Riemann zeta function. Zbl 1034.11045
Ford, Kevin
2002
Generalized Euler constants. Zbl 1143.11036
Diamond, Harold G.; Ford, Kevin
2008
On the distribution of imaginary parts of zeros of the Riemann zeta function. Zbl 1139.11036
Ford, Kevin; Zaharescu, Alexandru
2005
Common values of the arithmetic functions $$\varphi$$ and $$\sigma$$. Zbl 1205.11010
Ford, Kevin; Luca, Florian; Pomerance, Carl
2010
Invariable generation of the symmetric group. Zbl 1475.20098
Eberhard, Sean; Ford, Kevin; Green, Ben
2017
On Vinogradov’s mean value theorem: strongly diagonal behaviour via efficient congruencing. Zbl 1307.11102
Ford, Kevin; Wooley, Trevor D.
2014
Chebyshev’s bias for products of two primes. Zbl 1280.11056
Ford, Kevin; Sneed, Jason
2010
Chebyshev’s conjecture and the prime number race. Zbl 1214.11105
Ford, Kevin; Konyagin, Sergei
2002
Integers with a divisor in $$(y,2y]$$. Zbl 1175.11053
Ford, Kevin
2008
Values of the Euler function in various sequences. Zbl 1197.11125
Banks, William D.; Ford, Kevin; Luca, Florian; Pappalardi, Francesco; Shparlinski, Igor E.
2005
On the largest prime factor of the Mersenne numbers. Zbl 1178.11061
Ford, Kevin; Luca, Florian; Shparlinski, Igor E.
2009
The representation of numbers as sums of unlike powers. Zbl 0816.11049
Ford, Kevin B.
1995
The representation of numbers as sums of unlike powers. II. Zbl 0866.11054
Ford, Kevin B.
1996
Prime chains and Pratt trees. Zbl 1218.11085
Ford, Kevin; Konyagin, Sergei V.; Luca, Florian
2010
Poisson-Dirichlet branching random walks. Zbl 1278.60129
2013
Diophantine approximation with arithmetic functions. I. Zbl 1225.11098
Alkan, Emre; Ford, Kevin; Zaharescu, Alexandru
2009
The prime number race and zeros of Dirichlet $$L$$-functions off the critical line. III. Zbl 1284.11123
Ford, Kevin; Lamzouri, Youness; Konyagin, Sergei
2013
The prime number race and zeros of $$L$$-functions off the critical line. Zbl 1010.11051
Ford, Kevin; Konyagin, Sergei
2002
Geometric properties of points on modular hyperbolas. Zbl 1204.11004
Ford, Kevin; Khan, Mizan R.; Shparlinski, Igor E.
2010
On common values of $$\varphi(n)$$ and $$\sigma(m)$$. II. Zbl 1279.11093
Ford, Kevin; Pollack, Paul
2012
Diophantine approximation with arithmetic functions. II. Zbl 1225.11099
Alkan, Emre; Ford, Kevin; Zaharescu, Alexandru
2009
Residue classes free of values of Euler’s function. Zbl 0931.11037
Ford, Kevin; Konyagin, Sergei; Pomerance, Carl
1999
Permutations fixing a $$k$$-set. Zbl 1404.05004
Eberhard, Sean; Ford, Kevin; Green, Ben
2016
Large gaps between consecutive prime numbers containing perfect powers. Zbl 1391.11125
Ford, Kevin; Heath-Brown, D. R.; Konyagin, Sergei
2015
Zeros of Dirichlet $$L$$-functions near the real axis and Chebyshev’s bias. Zbl 1009.11057
Bays, Carter; Ford, Kevin; Hudson, Richard H.; Rubinstein, Michael
2001
The distribution of totients. Zbl 0888.11003
Ford, Kevin
1998
The prime number race and zeros of $$L$$-functions off the critical line. II. Zbl 1056.11051
Ford, Kevin; Konyagin, Sergei
2003
The image of Carmichael’s $$\lambda$$-function. Zbl 1322.11104
Ford, Kevin; Luca, Florian; Pomerance, Carl
2014
Permutations contained in transitive subgroups. Zbl 1346.05005
Eberhard, Sean; Ford, Kevin; Koukoulopoulos, Dimitris
2016
Breaking the $$k^2$$ barrier for explicit RIP matrices. Zbl 1288.68062
Bourgain, Jean; Dilworth, Stephen J.; Ford, Kevin; Konyagin, Sergei V.; Kutzarova, Denka
2011
The Brun-Hooley sieve. Zbl 0978.11049
Ford, Kevin; Halberstam, H.
2000
Sign changes in $$\pi_{q,a}(x) - \pi_{q,b}(x)$$. Zbl 0986.11063
Ford, Kevin; Hudson, Richard H.
2001
Maximal collections of intersecting arithmetic progressions. Zbl 1046.05077
Ford, K.
2003
Waring’s problem with polynomial summands. Zbl 0964.11044
Ford, Kevin
2000
Sharp probability estimates for random walks with barriers. Zbl 1171.60007
Ford, Kevin
2009
The normal behavior of the Smarandache function. Zbl 1077.11505
Ford, Kevin
1999
From Kolmogorov’s theorem on empirical distribution to number theory. Zbl 1369.62103
Ford, Kevin
2007
Divisors of the Euler and Carmichael functions. Zbl 1237.11038
Ford, Kevin; Hu, Yong
2008
On groups with perfect order subsets. Zbl 1295.11100
Ford, Kevin; Konyagin, Sergei; Luca, Florian
2012
On common values of $$\varphi(n)$$ and $$\sigma(m)$$. I. Zbl 1265.11092
Ford, Kevin; Pollack, Paul
2011
Extremal properties of product sets. Zbl 1414.05288
Ford, Kevin
2018
Extreme biases in prime number races with many contestants. Zbl 1451.11102
Ford, Kevin; Harper, Adam J.; Lamzouri, Youness
2019
An explicit sieve bound and small values of $$\sigma(\varphi(m))$$. Zbl 0980.11004
Ford, Kevin
2001
A strong form of a problem of R. L. Graham. Zbl 1148.11052
Ford, Kevin
2004
On Bombieri’s asymptotic sieve. Zbl 1125.11053
Ford, Kevin
2005
The jumping champions of the Farey series. Zbl 1034.11013
Cobeli, Cristian; Ford, Kevin; Zaharescu, Alexandru
2003
A problem of Ramanujan, Erdős, and Kátai on the iterated divisor function. Zbl 1266.11100
Buttkewitz, Yvonne; Elsholtz, Christian; Ford, Kevin; Schlage-Puchta, Jan-Christoph
2012
On two conjectures of Sierpiński concerning the arithmetic functions $$\sigma$$ and $$\varphi$$. Zbl 0931.11032
Ford, Kevin; Konyagin, Sergei
1999
Unnormalized differences between zeros of $$L$$-functions. Zbl 1319.11057
Ford, Kevin; Zaharescu, Alexandru
2015
Localized large sums of random variables. Zbl 1133.60322
Ford, Kevin; Tenenbaum, Gérald
2008
Generalized Smirnov statistics and the distribution of prime factors. Zbl 1229.11122
Ford, Kevin
2007
Sharp probability estimates for generalized Smirnov statistics. Zbl 1229.62059
Ford, Kevin
2008
Simultaneous distribution of the fractional parts of Riemann zeta zeros. Zbl 1433.11104
Ford, Kevin; Meng, Xianchang; Zaharescu, Alexandru
2017
Integers divisible by a large shifted prime. Zbl 1428.11164
Ford, Kevin
2017
On the smallest simultaneous power nonresidue modulo a prime. Zbl 1422.11003
Ford, Kevin; Garaev, Moubariz Z.; Konyagin, Sergei V.
2017
Chains of large gaps between primes. Zbl 1456.11173
Ford, Kevin; Maynard, James; Tao, Terence
2018
Extreme biases in prime number races with many contestants. Zbl 1451.11102
Ford, Kevin; Harper, Adam J.; Lamzouri, Youness
2019
Long gaps between primes. Zbl 1392.11071
Ford, Kevin; Green, Ben; Konyagin, Sergei; Maynard, James; Tao, Terence
2018
Extremal properties of product sets. Zbl 1414.05288
Ford, Kevin
2018
Chains of large gaps between primes. Zbl 1456.11173
Ford, Kevin; Maynard, James; Tao, Terence
2018
Invariable generation of the symmetric group. Zbl 1475.20098
Eberhard, Sean; Ford, Kevin; Green, Ben
2017
Simultaneous distribution of the fractional parts of Riemann zeta zeros. Zbl 1433.11104
Ford, Kevin; Meng, Xianchang; Zaharescu, Alexandru
2017
Integers divisible by a large shifted prime. Zbl 1428.11164
Ford, Kevin
2017
On the smallest simultaneous power nonresidue modulo a prime. Zbl 1422.11003
Ford, Kevin; Garaev, Moubariz Z.; Konyagin, Sergei V.
2017
Large gaps between consecutive prime numbers. Zbl 1338.11083
Ford, Kevin; Green, Ben; Konyagin, Sergei; Tao, Terence
2016
Permutations fixing a $$k$$-set. Zbl 1404.05004
Eberhard, Sean; Ford, Kevin; Green, Ben
2016
Permutations contained in transitive subgroups. Zbl 1346.05005
Eberhard, Sean; Ford, Kevin; Koukoulopoulos, Dimitris
2016
Large gaps between consecutive prime numbers containing perfect powers. Zbl 1391.11125
Ford, Kevin; Heath-Brown, D. R.; Konyagin, Sergei
2015
Unnormalized differences between zeros of $$L$$-functions. Zbl 1319.11057
Ford, Kevin; Zaharescu, Alexandru
2015
Values of the Euler $$\varphi$$-function not divisible by a given odd prime, and the distribution of Euler-Kronecker constants for cyclotomic fields. Zbl 1294.11164
Ford, Kevin; Luca, Florian; Moree, Pieter
2014
On Vinogradov’s mean value theorem: strongly diagonal behaviour via efficient congruencing. Zbl 1307.11102
Ford, Kevin; Wooley, Trevor D.
2014
The image of Carmichael’s $$\lambda$$-function. Zbl 1322.11104
Ford, Kevin; Luca, Florian; Pomerance, Carl
2014
Poisson-Dirichlet branching random walks. Zbl 1278.60129
2013
The prime number race and zeros of Dirichlet $$L$$-functions off the critical line. III. Zbl 1284.11123
Ford, Kevin; Lamzouri, Youness; Konyagin, Sergei
2013
On common values of $$\varphi(n)$$ and $$\sigma(m)$$. II. Zbl 1279.11093
Ford, Kevin; Pollack, Paul
2012
On groups with perfect order subsets. Zbl 1295.11100
Ford, Kevin; Konyagin, Sergei; Luca, Florian
2012
A problem of Ramanujan, Erdős, and Kátai on the iterated divisor function. Zbl 1266.11100
Buttkewitz, Yvonne; Elsholtz, Christian; Ford, Kevin; Schlage-Puchta, Jan-Christoph
2012
Explicit constructions of RIP matrices and related problems. Zbl 1236.94027
Bourgain, Jean; Dilworth, Stephen; Ford, Kevin; Konyagin, Sergei; Kutzarova, Denka
2011
Breaking the $$k^2$$ barrier for explicit RIP matrices. Zbl 1288.68062
Bourgain, Jean; Dilworth, Stephen J.; Ford, Kevin; Konyagin, Sergei V.; Kutzarova, Denka
2011
On common values of $$\varphi(n)$$ and $$\sigma(m)$$. I. Zbl 1265.11092
Ford, Kevin; Pollack, Paul
2011
On the divisibility of Fermat quotients. Zbl 1223.11116
Bourgain, Jean; Ford, Kevin; Konyagin, Sergei V.; Shparlinski, Igor E.
2010
Common values of the arithmetic functions $$\varphi$$ and $$\sigma$$. Zbl 1205.11010
Ford, Kevin; Luca, Florian; Pomerance, Carl
2010
Chebyshev’s bias for products of two primes. Zbl 1280.11056
Ford, Kevin; Sneed, Jason
2010
Prime chains and Pratt trees. Zbl 1218.11085
Ford, Kevin; Konyagin, Sergei V.; Luca, Florian
2010
Geometric properties of points on modular hyperbolas. Zbl 1204.11004
Ford, Kevin; Khan, Mizan R.; Shparlinski, Igor E.
2010
On the distribution of imaginary parts of zeros of the Riemann zeta function. II. Zbl 1160.11042
Ford, Kevin; Soundararajan, Kannan; Zaharescu, Alexandru
2009
On the largest prime factor of the Mersenne numbers. Zbl 1178.11061
Ford, Kevin; Luca, Florian; Shparlinski, Igor E.
2009
Diophantine approximation with arithmetic functions. I. Zbl 1225.11098
Alkan, Emre; Ford, Kevin; Zaharescu, Alexandru
2009
Diophantine approximation with arithmetic functions. II. Zbl 1225.11099
Alkan, Emre; Ford, Kevin; Zaharescu, Alexandru
2009
Sharp probability estimates for random walks with barriers. Zbl 1171.60007
Ford, Kevin
2009
The distribution of integers with a divisor in a given interval. Zbl 1181.11058
Ford, Kevin
2008
Generalized Euler constants. Zbl 1143.11036
Diamond, Harold G.; Ford, Kevin
2008
Integers with a divisor in $$(y,2y]$$. Zbl 1175.11053
Ford, Kevin
2008
Divisors of the Euler and Carmichael functions. Zbl 1237.11038
Ford, Kevin; Hu, Yong
2008
Localized large sums of random variables. Zbl 1133.60322
Ford, Kevin; Tenenbaum, Gérald
2008
Sharp probability estimates for generalized Smirnov statistics. Zbl 1229.62059
Ford, Kevin
2008
Sieving by large integers and covering systems of congruences. Zbl 1210.11020
Filaseta, Michael; Ford, Kevin; Konyagin, Sergei; Pomerance, Carl; Yu, Gang
2007
From Kolmogorov’s theorem on empirical distribution to number theory. Zbl 1369.62103
Ford, Kevin
2007
Generalized Smirnov statistics and the distribution of prime factors. Zbl 1229.11122
Ford, Kevin
2007
On the maximal difference between an element and its inverse in residue rings. Zbl 1131.11005
Ford, Kevin; Khan, Mizan R.; Shparlinski, Igor E.; Yankov, Christian L.
2005
On the distribution of imaginary parts of zeros of the Riemann zeta function. Zbl 1139.11036
Ford, Kevin; Zaharescu, Alexandru
2005
Values of the Euler function in various sequences. Zbl 1197.11125
Banks, William D.; Ford, Kevin; Luca, Florian; Pappalardi, Francesco; Shparlinski, Igor E.
2005
On Bombieri’s asymptotic sieve. Zbl 1125.11053
Ford, Kevin
2005
A strong form of a problem of R. L. Graham. Zbl 1148.11052
Ford, Kevin
2004
The prime number race and zeros of $$L$$-functions off the critical line. II. Zbl 1056.11051
Ford, Kevin; Konyagin, Sergei
2003
Maximal collections of intersecting arithmetic progressions. Zbl 1046.05077
Ford, K.
2003
The jumping champions of the Farey series. Zbl 1034.11013
Cobeli, Cristian; Ford, Kevin; Zaharescu, Alexandru
2003
Vinogradov’s integral and bounds for the Riemann zeta function. Zbl 1034.11044
Ford, Kevin
2002
Zero-free regions for the Riemann zeta function. Zbl 1034.11045
Ford, Kevin
2002
Chebyshev’s conjecture and the prime number race. Zbl 1214.11105
Ford, Kevin; Konyagin, Sergei
2002
The prime number race and zeros of $$L$$-functions off the critical line. Zbl 1010.11051
Ford, Kevin; Konyagin, Sergei
2002
Zeros of Dirichlet $$L$$-functions near the real axis and Chebyshev’s bias. Zbl 1009.11057
Bays, Carter; Ford, Kevin; Hudson, Richard H.; Rubinstein, Michael
2001
Sign changes in $$\pi_{q,a}(x) - \pi_{q,b}(x)$$. Zbl 0986.11063
Ford, Kevin; Hudson, Richard H.
2001
An explicit sieve bound and small values of $$\sigma(\varphi(m))$$. Zbl 0980.11004
Ford, Kevin
2001
On an irreducibility theorem of A. Schinzel associated with coverings of the integers. Zbl 0966.11046
Filaseta, M.; Ford, K.; Konyagin, S.
2000
The Brun-Hooley sieve. Zbl 0978.11049
Ford, Kevin; Halberstam, H.
2000
Waring’s problem with polynomial summands. Zbl 0964.11044
Ford, Kevin
2000
The number of solutions of $$\varphi (x)=m$$. Zbl 0978.11053
Ford, Kevin
1999
Residue classes free of values of Euler’s function. Zbl 0931.11037
Ford, Kevin; Konyagin, Sergei; Pomerance, Carl
1999
The normal behavior of the Smarandache function. Zbl 1077.11505
Ford, Kevin
1999
On two conjectures of Sierpiński concerning the arithmetic functions $$\sigma$$ and $$\varphi$$. Zbl 0931.11032
Ford, Kevin; Konyagin, Sergei
1999
The distribution of totients. Zbl 0914.11053
Ford, Kevin
1998
Sums and products from a finite set of real numbers. Zbl 0908.11008
Ford, Kevin
1998
The distribution of totients. Zbl 0888.11003
Ford, Kevin
1998
The representation of numbers as sums of unlike powers. II. Zbl 0866.11054
Ford, Kevin B.
1996
New estimates for mean values of Weyl sums. Zbl 0821.11050
Ford, Kevin B.
1995
The representation of numbers as sums of unlike powers. Zbl 0816.11049
Ford, Kevin B.
1995
all top 5

### Cited by 522 Authors

 26 Ford, Kevin B. 26 Shparlinski, Igor E. 17 Luca, Florian 15 Pomerance, Carl Bernard 13 Pollack, Paul 12 Wooley, Trevor D. 9 Mixon, Dustin G. 8 Alkan, Emre 8 Konyagin, Sergeĭ Vladimirovich 7 Banks, William D. 7 Maynard, James 7 Moree, Pieter 7 Tao, Terence 6 Fickus, Matthew C. 6 Roche-Newton, Oliver 6 Rudnev, Misha 6 Shkredov, Il’ya Dmitrievich 5 Bourgain, Jean 5 Chen, Zhixiong 5 Filaseta, Michael A. 5 Fu, Fangwei 5 Lamzouri, Youness 5 Niu, Minyao 5 Zaharescu, Alexandru 4 Baier, Stephan 4 Brüdern, Jörg 4 Garunkštis, Ramūnas 4 Jørgensen, Palle E. T. 4 Martin, Greg 4 Meng, Xianchang 4 Pintz, Janos 4 Sahasrabudhe, Julian 3 Balister, Paul N. 3 Bollobás, Béla 3 Chang, Mei-Chu 3 Cilleruelo, Javier 3 Croot, Ernie 3 Devin, Lucile 3 Elsholtz, Christian 3 Finch, Carrie E. 3 Garzoni, Daniele 3 Granville, Andrew James 3 Gun, Sanoli 3 Halupczok, Karin 3 Harrington, Joshua 3 Jasper, John 3 Kawada, Koichi 3 Languasco, Alessandro 3 Maier, Helmut 3 Morris, Robert D. 3 Murty, Maruti Ram 3 Radziwiłł, Maksym 3 Rassias, Michael Th. 3 Shteĭnikov, Yuriĭ Nikolaevich 3 Tiba, Marius 3 Trudgian, Tim 3 Trudgian, Timothy S. 3 Winterhof, Arne 2 Akbary, Amir 2 Albeverio, Sergio A. 2 Alterman, Sebastian Zuniga 2 Balog, Antal 2 Bandeira, Afonso S. 2 Bansal, Arpit 2 Bays, Carter 2 Bordignon, Matteo 2 Chatterjee, Tapas 2 Chen, Yonggao 2 Cho, Ilwoo 2 de la Bretèche, Régis 2 Dirksen, Sjoerd 2 Dona, Daniele 2 Dose, Titus 2 Dubickas, Artūras 2 Dusart, Pierre 2 Dutkay, Dorin Ervin 2 Eberhard, Sean 2 Gao, You 2 Goldston, Daniel Alan 2 Green, Ben Joseph 2 Harper, Adam J. 2 Hart, Derrick N. 2 Helfgott, Harald Andrés 2 Hudson, Richard H. 2 Ivić, Aleksandar 2 Jankauskas, Jonas 2 Kerr, Bryce 2 Khurana, Suraj Singh 2 Kolpakova, Ol’ga Viktorovna 2 Kotnik, Tadej 2 Koukoulopoulos, Dimitris 2 Laporta, Maurizio B. S. 2 Lee, Ethan Simpson 2 Li, Junxian 2 Li, Liangpan 2 Michelen, Marcus 2 Miller, Steven J. 2 Munsch, Marc 2 Murphy, Brendan 2 Naidu, R. Ramu ...and 422 more Authors
all top 5

### Cited in 147 Serials

 34 Journal of Number Theory 21 Mathematics of Computation 19 International Journal of Number Theory 15 Mathematika 12 Journal de Théorie des Nombres de Bordeaux 11 Proceedings of the American Mathematical Society 10 Acta Arithmetica 9 Proceedings of the Steklov Institute of Mathematics 8 Integers 7 Functiones et Approximatio. Commentarii Mathematici 7 Acta Mathematica Hungarica 7 The Ramanujan Journal 6 Bulletin of the Australian Mathematical Society 6 Israel Journal of Mathematics 6 Mathematical Notes 6 Advances in Mathematics 6 Duke Mathematical Journal 6 Monatshefte für Mathematik 6 Annals of Mathematics. Second Series 5 Journal of Mathematical Analysis and Applications 5 Journal of Algebra 5 Mathematische Annalen 5 Linear Algebra and its Applications 5 Experimental Mathematics 5 Research in Number Theory 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Mathematische Zeitschrift 4 Transactions of the American Mathematical Society 3 Constructive Approximation 3 Journal of the American Mathematical Society 3 SIAM Journal on Discrete Mathematics 3 Bulletin of the American Mathematical Society. New Series 3 Indagationes Mathematicae. New Series 3 Applied and Computational Harmonic Analysis 3 Finite Fields and their Applications 3 Journal of Integer Sequences 2 Discrete Mathematics 2 Lithuanian Mathematical Journal 2 Periodica Mathematica Hungarica 2 Rocky Mountain Journal of Mathematics 2 Ukrainian Mathematical Journal 2 Applied Mathematics and Computation 2 Bulletin of the London Mathematical Society 2 Canadian Journal of Mathematics 2 Compositio Mathematica 2 Illinois Journal of Mathematics 2 Inventiones Mathematicae 2 Journal of Applied Probability 2 Michigan Mathematical Journal 2 Proceedings of the London Mathematical Society. Third Series 2 Combinatorica 2 Graphs and Combinatorics 2 Probability Theory and Related Fields 2 Journal of Complexity 2 Discrete & Computational Geometry 2 Forum Mathematicum 2 Journal of the Ramanujan Mathematical Society 2 Designs, Codes and Cryptography 2 Geometric and Functional Analysis. GAFA 2 Advances in Computational Mathematics 2 The Journal of Fourier Analysis and Applications 2 Journal of Combinatorial Optimization 2 Journal of Group Theory 2 Journal of the Australian Mathematical Society 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Advances in Mathematics of Communications 2 Discrete Mathematics, Algorithms and Applications 2 Japanese Journal of Mathematics. 3rd Series 2 Cryptography and Communications 2 Mathematics 1 Communications in Algebra 1 Communications on Pure and Applied Mathematics 1 Discrete Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Statistical Physics 1 The Mathematical Intelligencer 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series A 1 Journal of Combinatorial Theory. Series B 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Quaestiones Mathematicae 1 Real Analysis Exchange 1 Rendiconti del Seminario Matematico della Università di Padova 1 Theoretical Computer Science 1 Statistics & Probability Letters 1 Circuits, Systems, and Signal Processing 1 Chinese Annals of Mathematics. Series B ...and 47 more Serials
all top 5

### Cited in 31 Fields

 348 Number theory (11-XX) 46 Information and communication theory, circuits (94-XX) 34 Combinatorics (05-XX) 24 Probability theory and stochastic processes (60-XX) 21 Group theory and generalizations (20-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 13 Numerical analysis (65-XX) 13 Computer science (68-XX) 12 Field theory and polynomials (12-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 9 Algebraic geometry (14-XX) 7 Convex and discrete geometry (52-XX) 7 Statistics (62-XX) 6 Operations research, mathematical programming (90-XX) 5 Real functions (26-XX) 5 Special functions (33-XX) 5 Functional analysis (46-XX) 4 Commutative algebra (13-XX) 3 History and biography (01-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 2 General and overarching topics; collections (00-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX)

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