Edit Profile (opens in new tab) Ford, Kevin B. Co-Author Distance Author ID: ford.kevin-b Published as: Ford, Kevin; Ford, Kevin B.; Ford, K. more...less External Links: MGP · Wikidata Documents Indexed: 107 Publications since 1993, including 10 Additional arXiv Preprints Co-Authors: 56 Co-Authors with 71 Joint Publications 2,638 Co-Co-Authors all top 5 Co-Authors 36 single-authored 24 Konyagin, Sergeĭ Vladimirovich 10 Luca, Florian 7 Pomerance, Carl Bernard 7 Tao, Terence 7 Zaharescu, Alexandru 6 Shparlinski, Igor E. 5 Green, Ben Joseph 5 Maynard, James 3 Bourgain, Jean 3 Eberhard, Sean 3 Gabdullin, Mikhail R. 3 Koukoulopoulos, Dimitris 3 Kutzarova, Denka N. 2 Alkan, Emre 2 Banks, William David 2 Dilworth, Stephen J. 2 Filaseta, Michael A. 2 Hudson, Richard H. 2 Khan, Mizan R. 2 Lamzouri, Youness 2 Pollack, Paul 2 Tenenbaum, Gérald 1 Addario-Berry, Louigi 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 Garaev, Moubariz Z. 1 Goldstein, Eli 1 Granville, Andrew James 1 Halberstam, Heini 1 Harper, Adam J. 1 Heath-Brown, Roger 1 Hu, Yong 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 Shakan, George 1 Shallit, Jeffrey Outlaw 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 Inventiones Mathematicae 2 Journal of the London Mathematical Society. Second Series 2 Journal of Number Theory 2 Mathematische Annalen 2 Monatshefte für Mathematik 2 Proceedings of the London Mathematical Society. Third Series 2 Acta Mathematica Hungarica 2 The Ramanujan Journal 2 Journal of the European Mathematical Society (JEMS) 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 Statistics & Probability Letters 1 Combinatorica 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 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 95 Number theory (11-XX) 9 Combinatorics (05-XX) 5 Group theory and generalizations (20-XX) 5 Probability theory and stochastic processes (60-XX) 4 Statistics (62-XX) 2 Approximations and expansions (41-XX) 2 Information and communication theory, circuits (94-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 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 82 Publications have been cited 768 times in 587 Documents Cited by ▼ Year ▼ The distribution of integers with a divisor in a given interval. Zbl 1181.11058 Ford, Kevin 93 2008 Explicit constructions of RIP matrices and related problems. Zbl 1236.94027 Bourgain, Jean; Dilworth, Stephen; Ford, Kevin; Konyagin, Sergei; Kutzarova, Denka 56 2011 Vinogradov’s integral and bounds for the Riemann zeta function. Zbl 1034.11044 Ford, Kevin 55 2002 Long gaps between primes. Zbl 1392.11071 Ford, Kevin; Green, Ben; Konyagin, Sergei; Maynard, James; Tao, Terence 37 2018 Large gaps between consecutive prime numbers. Zbl 1338.11083 Ford, Kevin; Green, Ben; Konyagin, Sergei; Tao, Terence 25 2016 On the divisibility of Fermat quotients. Zbl 1223.11116 Bourgain, Jean; Ford, Kevin; Konyagin, Sergei V.; Shparlinski, Igor E. 25 2010 The distribution of totients. Zbl 0914.11053 Ford, Kevin 25 1998 Zero-free regions for the Riemann zeta function. Zbl 1034.11045 Ford, Kevin 24 2002 Sieving by large integers and covering systems of congruences. Zbl 1210.11020 Filaseta, Michael; Ford, Kevin; Konyagin, Sergei; Pomerance, Carl; Yu, Gang 23 2007 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 21 2014 The number of solutions of \(\varphi (x)=m\). Zbl 0978.11053 Ford, Kevin 19 1999 Sums and products from a finite set of real numbers. Zbl 0908.11008 Ford, Kevin 17 1998 On an irreducibility theorem of A. Schinzel associated with coverings of the integers. Zbl 0966.11046 Filaseta, M.; Ford, K.; Konyagin, S. 17 2000 New estimates for mean values of Weyl sums. Zbl 0821.11050 Ford, Kevin B. 15 1995 On the distribution of imaginary parts of zeros of the Riemann zeta function. II. Zbl 1160.11042 Ford, Kevin; Soundararajan, Kannan; Zaharescu, Alexandru 15 2009 Invariable generation of the symmetric group. Zbl 1475.20098 Eberhard, Sean; Ford, Kevin; Green, Ben 14 2017 Integers with a divisor in \((y,2y]\). Zbl 1175.11053 Ford, Kevin 12 2008 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. 12 2005 Generalized Euler constants. Zbl 1143.11036 Diamond, Harold G.; Ford, Kevin 12 2008 On the distribution of imaginary parts of zeros of the Riemann zeta function. Zbl 1139.11036 Ford, Kevin; Zaharescu, Alexandru 11 2005 Permutations fixing a \(k\)-set. Zbl 1404.05004 Eberhard, Sean; Ford, Kevin; Green, Ben 11 2016 On Vinogradov’s mean value theorem: strongly diagonal behaviour via efficient congruencing. Zbl 1307.11102 Ford, Kevin; Wooley, Trevor D. 10 2014 Common values of the arithmetic functions \(\varphi\) and \(\sigma\). Zbl 1205.11010 Ford, Kevin; Luca, Florian; Pomerance, Carl 10 2010 Poisson-Dirichlet branching random walks. Zbl 1278.60129 Addario-Berry, Louigi; Ford, Kevin 9 2013 Chebyshev’s conjecture and the prime number race. Zbl 1214.11105 Ford, Kevin; Konyagin, Sergei 9 2002 Chebyshev’s bias for products of two primes. Zbl 1280.11056 Ford, Kevin; Sneed, Jason 9 2010 On the largest prime factor of the Mersenne numbers. Zbl 1178.11061 Ford, Kevin; Luca, Florian; Shparlinski, Igor E. 8 2009 The prime number race and zeros of \(L\)-functions off the critical line. Zbl 1010.11051 Ford, Kevin; Konyagin, Sergei 8 2002 The representation of numbers as sums of unlike powers. II. Zbl 0866.11054 Ford, Kevin B. 7 1996 The prime number race and zeros of Dirichlet \(L\)-functions off the critical line. III. Zbl 1284.11123 Ford, Kevin; Lamzouri, Youness; Konyagin, Sergei 7 2013 Residue classes free of values of Euler’s function. Zbl 0931.11037 Ford, Kevin; Konyagin, Sergei; Pomerance, Carl 7 1999 The representation of numbers as sums of unlike powers. Zbl 0816.11049 Ford, Kevin B. 6 1995 Permutations contained in transitive subgroups. Zbl 1346.05005 Eberhard, Sean; Ford, Kevin; Koukoulopoulos, Dimitris 6 2016 Values of the Euler function in various sequences. Zbl 1197.11125 Banks, William D.; Ford, Kevin; Luca, Florian; Pappalardi, Francesco; Shparlinski, Igor E. 6 2005 Large gaps between consecutive prime numbers containing perfect powers. Zbl 1391.11125 Ford, Kevin; Heath-Brown, D. R.; Konyagin, Sergei 5 2015 Breaking the \(k^2\) barrier for explicit RIP matrices. Zbl 1288.68062 Bourgain, Jean; Dilworth, Stephen J.; Ford, Kevin; Konyagin, Sergei V.; Kutzarova, Denka 5 2011 The image of Carmichael’s \(\lambda\)-function. Zbl 1322.11104 Ford, Kevin; Luca, Florian; Pomerance, Carl 5 2014 Prime chains and Pratt trees. Zbl 1218.11085 Ford, Kevin; Konyagin, Sergei V.; Luca, Florian 5 2010 Diophantine approximation with arithmetic functions. I. Zbl 1225.11098 Alkan, Emre; Ford, Kevin; Zaharescu, Alexandru 5 2009 On common values of \(\varphi(n)\) and \(\sigma(m)\). II. Zbl 1279.11093 Ford, Kevin; Pollack, Paul 5 2012 Generalized Smirnov statistics and the distribution of prime factors. Zbl 1229.11122 Ford, Kevin 5 2007 Geometric properties of points on modular hyperbolas. Zbl 1204.11004 Ford, Kevin; Khan, Mizan R.; Shparlinski, Igor E. 4 2010 The prime number race and zeros of \(L\)-functions off the critical line. II. Zbl 1056.11051 Ford, Kevin; Konyagin, Sergei 4 2003 The Brun-Hooley sieve. Zbl 0978.11049 Ford, Kevin; Halberstam, H. 4 2000 Extremal properties of product sets. Zbl 1414.05288 Ford, Kevin 4 2018 Diophantine approximation with arithmetic functions. II. Zbl 1225.11099 Alkan, Emre; Ford, Kevin; Zaharescu, Alexandru 4 2009 Equal sums in random sets and the concentration of divisors. Zbl 1525.11102 Ford, Kevin; Green, Ben; Koukoulopoulos, Dimitris 4 2023 Unnormalized differences between zeros of \(L\)-functions. Zbl 1319.11057 Ford, Kevin; Zaharescu, Alexandru 3 2015 Integers divisible by a large shifted prime. Zbl 1428.11164 Ford, Kevin 3 2017 On groups with perfect order subsets. Zbl 1295.11100 Ford, Kevin; Konyagin, Sergei; Luca, Florian 3 2012 Extreme biases in prime number races with many contestants. Zbl 1451.11102 Ford, Kevin; Harper, Adam J.; Lamzouri, Youness 3 2019 Large prime gaps and probabilistic models. Zbl 1541.11076 Banks, William; Ford, Kevin; Tao, Terence 3 2023 Large prime gaps and progressions with few primes. Zbl 1480.11111 Ford, Kevin 3 2021 Waring’s problem with polynomial summands. Zbl 0964.11044 Ford, Kevin 3 2000 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 3 2001 The distribution of totients. Zbl 0888.11003 Ford, Kevin 3 1998 On the parity of the number of small divisors of \(n\). Zbl 1391.11126 Ford, Kevin; Luca, Florian; Pomerance, Carl; Shallit, Jeffrey 2 2015 Sign changes in \(\pi_{q,a}(x) - \pi_{q,b}(x)\). Zbl 0986.11063 Ford, Kevin; Hudson, Richard H. 2 2001 Sharp probability estimates for random walks with barriers. Zbl 1171.60007 Ford, Kevin 2 2009 The normal behavior of the Smarandache function. Zbl 1077.11505 Ford, Kevin 2 1999 On common values of \(\varphi(n)\) and \(\sigma(m)\). I. Zbl 1265.11092 Ford, Kevin; Pollack, Paul 2 2011 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 2 2012 Simultaneous distribution of the fractional parts of Riemann zeta zeros. Zbl 1433.11104 Ford, Kevin; Meng, Xianchang; Zaharescu, Alexandru 2 2017 Joint Poisson distribution of prime factors in sets. Zbl 1498.11193 Ford, Kevin 2 2022 Maximal collections of intersecting arithmetic progressions. Zbl 1046.05077 Ford, K. 2 2003 Rough integers with a divisor in a given interval. Zbl 1475.11166 Ford, Kevin 2 2021 Divisors of the Euler and Carmichael functions. Zbl 1237.11038 Ford, Kevin; Hu, Yong 2 2008 An explicit sieve bound and small values of \(\sigma(\varphi(m))\). Zbl 0980.11004 Ford, Kevin 2 2001 From Kolmogorov’s theorem on empirical distribution to number theory. Zbl 1369.62103 Ford, Kevin 2 2007 Dimensional lower bounds for Falconer type incidence theorems. Zbl 1435.28006 Dewitt, Jonathan; Ford, Kevin; Goldstein, Eli; Miller, Steven J.; Moreland, Gwyneth; Palsson, Eyvindur A.; Senger, Steven 2 2019 Long gaps in sieved sets. Zbl 1468.11197 Ford, Kevin; Konyagin, Sergey; Maynard, James; Pomerance, Carl Bernard; Tao, Terence 2 2021 On the smallest simultaneous power nonresidue modulo a prime. Zbl 1422.11003 Ford, Kevin; Garaev, Moubariz Z.; Konyagin, Sergei V. 1 2017 On two conjectures of Sierpiński concerning the arithmetic functions \(\sigma\) and \(\varphi\). Zbl 0931.11032 Ford, Kevin; Konyagin, Sergei 1 1999 Corrigendum to: “Long gaps in sieved sets”. Zbl 1515.11090 Ford, Kevin; Konyagin, Sergei; Maynard, James; Pomerance, Carl B.; Tao, Terence 1 2023 Divisibility of the central binomial coefficient \(\binom{2n}{n} \). Zbl 1508.05006 Ford, Kevin; Konyagin, Sergei 1 2021 Localized large sums of random variables. Zbl 1133.60322 Ford, Kevin; Tenenbaum, Gérald 1 2008 Sharp probability estimates for generalized Smirnov statistics. Zbl 1229.62059 Ford, Kevin 1 2008 The jumping champions of the Farey series. Zbl 1034.11013 Cobeli, Cristian; Ford, Kevin; Zaharescu, Alexandru 1 2003 Chains of large gaps between primes. Zbl 1456.11173 Ford, Kevin; Maynard, James; Tao, Terence 1 2018 A strong form of a problem of R. L. Graham. Zbl 1148.11052 Ford, Kevin 1 2004 On Bombieri’s asymptotic sieve. Zbl 1125.11053 Ford, Kevin 1 2005 Solutions of \(\varphi(n)=\varphi(n+k)\) and \(\sigma(n)=\sigma(n+k)\). Zbl 1494.11005 Ford, Kevin 1 2022 Equal sums in random sets and the concentration of divisors. Zbl 1525.11102 Ford, Kevin; Green, Ben; Koukoulopoulos, Dimitris 4 2023 Large prime gaps and probabilistic models. Zbl 1541.11076 Banks, William; Ford, Kevin; Tao, Terence 3 2023 Corrigendum to: “Long gaps in sieved sets”. Zbl 1515.11090 Ford, Kevin; Konyagin, Sergei; Maynard, James; Pomerance, Carl B.; Tao, Terence 1 2023 Joint Poisson distribution of prime factors in sets. Zbl 1498.11193 Ford, Kevin 2 2022 Solutions of \(\varphi(n)=\varphi(n+k)\) and \(\sigma(n)=\sigma(n+k)\). Zbl 1494.11005 Ford, Kevin 1 2022 Large prime gaps and progressions with few primes. Zbl 1480.11111 Ford, Kevin 3 2021 Rough integers with a divisor in a given interval. Zbl 1475.11166 Ford, Kevin 2 2021 Long gaps in sieved sets. Zbl 1468.11197 Ford, Kevin; Konyagin, Sergey; Maynard, James; Pomerance, Carl Bernard; Tao, Terence 2 2021 Divisibility of the central binomial coefficient \(\binom{2n}{n} \). Zbl 1508.05006 Ford, Kevin; Konyagin, Sergei 1 2021 Extreme biases in prime number races with many contestants. Zbl 1451.11102 Ford, Kevin; Harper, Adam J.; Lamzouri, Youness 3 2019 Dimensional lower bounds for Falconer type incidence theorems. Zbl 1435.28006 Dewitt, Jonathan; Ford, Kevin; Goldstein, Eli; Miller, Steven J.; Moreland, Gwyneth; Palsson, Eyvindur A.; Senger, Steven 2 2019 Long gaps between primes. Zbl 1392.11071 Ford, Kevin; Green, Ben; Konyagin, Sergei; Maynard, James; Tao, Terence 37 2018 Extremal properties of product sets. Zbl 1414.05288 Ford, Kevin 4 2018 Chains of large gaps between primes. Zbl 1456.11173 Ford, Kevin; Maynard, James; Tao, Terence 1 2018 Invariable generation of the symmetric group. Zbl 1475.20098 Eberhard, Sean; Ford, Kevin; Green, Ben 14 2017 Integers divisible by a large shifted prime. Zbl 1428.11164 Ford, Kevin 3 2017 Simultaneous distribution of the fractional parts of Riemann zeta zeros. Zbl 1433.11104 Ford, Kevin; Meng, Xianchang; Zaharescu, Alexandru 2 2017 On the smallest simultaneous power nonresidue modulo a prime. Zbl 1422.11003 Ford, Kevin; Garaev, Moubariz Z.; Konyagin, Sergei V. 1 2017 Large gaps between consecutive prime numbers. Zbl 1338.11083 Ford, Kevin; Green, Ben; Konyagin, Sergei; Tao, Terence 25 2016 Permutations fixing a \(k\)-set. Zbl 1404.05004 Eberhard, Sean; Ford, Kevin; Green, Ben 11 2016 Permutations contained in transitive subgroups. Zbl 1346.05005 Eberhard, Sean; Ford, Kevin; Koukoulopoulos, Dimitris 6 2016 Large gaps between consecutive prime numbers containing perfect powers. Zbl 1391.11125 Ford, Kevin; Heath-Brown, D. R.; Konyagin, Sergei 5 2015 Unnormalized differences between zeros of \(L\)-functions. Zbl 1319.11057 Ford, Kevin; Zaharescu, Alexandru 3 2015 On the parity of the number of small divisors of \(n\). Zbl 1391.11126 Ford, Kevin; Luca, Florian; Pomerance, Carl; Shallit, Jeffrey 2 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 21 2014 On Vinogradov’s mean value theorem: strongly diagonal behaviour via efficient congruencing. Zbl 1307.11102 Ford, Kevin; Wooley, Trevor D. 10 2014 The image of Carmichael’s \(\lambda\)-function. Zbl 1322.11104 Ford, Kevin; Luca, Florian; Pomerance, Carl 5 2014 Poisson-Dirichlet branching random walks. Zbl 1278.60129 Addario-Berry, Louigi; Ford, Kevin 9 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 7 2013 On common values of \(\varphi(n)\) and \(\sigma(m)\). II. Zbl 1279.11093 Ford, Kevin; Pollack, Paul 5 2012 On groups with perfect order subsets. Zbl 1295.11100 Ford, Kevin; Konyagin, Sergei; Luca, Florian 3 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 2 2012 Explicit constructions of RIP matrices and related problems. Zbl 1236.94027 Bourgain, Jean; Dilworth, Stephen; Ford, Kevin; Konyagin, Sergei; Kutzarova, Denka 56 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 5 2011 On common values of \(\varphi(n)\) and \(\sigma(m)\). I. Zbl 1265.11092 Ford, Kevin; Pollack, Paul 2 2011 On the divisibility of Fermat quotients. Zbl 1223.11116 Bourgain, Jean; Ford, Kevin; Konyagin, Sergei V.; Shparlinski, Igor E. 25 2010 Common values of the arithmetic functions \(\varphi\) and \(\sigma\). Zbl 1205.11010 Ford, Kevin; Luca, Florian; Pomerance, Carl 10 2010 Chebyshev’s bias for products of two primes. Zbl 1280.11056 Ford, Kevin; Sneed, Jason 9 2010 Prime chains and Pratt trees. Zbl 1218.11085 Ford, Kevin; Konyagin, Sergei V.; Luca, Florian 5 2010 Geometric properties of points on modular hyperbolas. Zbl 1204.11004 Ford, Kevin; Khan, Mizan R.; Shparlinski, Igor E. 4 2010 On the distribution of imaginary parts of zeros of the Riemann zeta function. II. Zbl 1160.11042 Ford, Kevin; Soundararajan, Kannan; Zaharescu, Alexandru 15 2009 On the largest prime factor of the Mersenne numbers. Zbl 1178.11061 Ford, Kevin; Luca, Florian; Shparlinski, Igor E. 8 2009 Diophantine approximation with arithmetic functions. I. Zbl 1225.11098 Alkan, Emre; Ford, Kevin; Zaharescu, Alexandru 5 2009 Diophantine approximation with arithmetic functions. II. Zbl 1225.11099 Alkan, Emre; Ford, Kevin; Zaharescu, Alexandru 4 2009 Sharp probability estimates for random walks with barriers. Zbl 1171.60007 Ford, Kevin 2 2009 The distribution of integers with a divisor in a given interval. Zbl 1181.11058 Ford, Kevin 93 2008 Integers with a divisor in \((y,2y]\). Zbl 1175.11053 Ford, Kevin 12 2008 Generalized Euler constants. Zbl 1143.11036 Diamond, Harold G.; Ford, Kevin 12 2008 Divisors of the Euler and Carmichael functions. Zbl 1237.11038 Ford, Kevin; Hu, Yong 2 2008 Localized large sums of random variables. Zbl 1133.60322 Ford, Kevin; Tenenbaum, Gérald 1 2008 Sharp probability estimates for generalized Smirnov statistics. Zbl 1229.62059 Ford, Kevin 1 2008 Sieving by large integers and covering systems of congruences. Zbl 1210.11020 Filaseta, Michael; Ford, Kevin; Konyagin, Sergei; Pomerance, Carl; Yu, Gang 23 2007 Generalized Smirnov statistics and the distribution of prime factors. Zbl 1229.11122 Ford, Kevin 5 2007 From Kolmogorov’s theorem on empirical distribution to number theory. Zbl 1369.62103 Ford, Kevin 2 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. 12 2005 On the distribution of imaginary parts of zeros of the Riemann zeta function. Zbl 1139.11036 Ford, Kevin; Zaharescu, Alexandru 11 2005 Values of the Euler function in various sequences. Zbl 1197.11125 Banks, William D.; Ford, Kevin; Luca, Florian; Pappalardi, Francesco; Shparlinski, Igor E. 6 2005 On Bombieri’s asymptotic sieve. Zbl 1125.11053 Ford, Kevin 1 2005 A strong form of a problem of R. L. Graham. Zbl 1148.11052 Ford, Kevin 1 2004 The prime number race and zeros of \(L\)-functions off the critical line. II. Zbl 1056.11051 Ford, Kevin; Konyagin, Sergei 4 2003 Maximal collections of intersecting arithmetic progressions. Zbl 1046.05077 Ford, K. 2 2003 The jumping champions of the Farey series. Zbl 1034.11013 Cobeli, Cristian; Ford, Kevin; Zaharescu, Alexandru 1 2003 Vinogradov’s integral and bounds for the Riemann zeta function. Zbl 1034.11044 Ford, Kevin 55 2002 Zero-free regions for the Riemann zeta function. Zbl 1034.11045 Ford, Kevin 24 2002 Chebyshev’s conjecture and the prime number race. Zbl 1214.11105 Ford, Kevin; Konyagin, Sergei 9 2002 The prime number race and zeros of \(L\)-functions off the critical line. Zbl 1010.11051 Ford, Kevin; Konyagin, Sergei 8 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 3 2001 Sign changes in \(\pi_{q,a}(x) - \pi_{q,b}(x)\). Zbl 0986.11063 Ford, Kevin; Hudson, Richard H. 2 2001 An explicit sieve bound and small values of \(\sigma(\varphi(m))\). Zbl 0980.11004 Ford, Kevin 2 2001 On an irreducibility theorem of A. Schinzel associated with coverings of the integers. Zbl 0966.11046 Filaseta, M.; Ford, K.; Konyagin, S. 17 2000 The Brun-Hooley sieve. Zbl 0978.11049 Ford, Kevin; Halberstam, H. 4 2000 Waring’s problem with polynomial summands. Zbl 0964.11044 Ford, Kevin 3 2000 The number of solutions of \(\varphi (x)=m\). Zbl 0978.11053 Ford, Kevin 19 1999 Residue classes free of values of Euler’s function. Zbl 0931.11037 Ford, Kevin; Konyagin, Sergei; Pomerance, Carl 7 1999 The normal behavior of the Smarandache function. Zbl 1077.11505 Ford, Kevin 2 1999 On two conjectures of Sierpiński concerning the arithmetic functions \(\sigma\) and \(\varphi\). Zbl 0931.11032 Ford, Kevin; Konyagin, Sergei 1 1999 The distribution of totients. Zbl 0914.11053 Ford, Kevin 25 1998 Sums and products from a finite set of real numbers. Zbl 0908.11008 Ford, Kevin 17 1998 The distribution of totients. Zbl 0888.11003 Ford, Kevin 3 1998 The representation of numbers as sums of unlike powers. II. Zbl 0866.11054 Ford, Kevin B. 7 1996 New estimates for mean values of Weyl sums. Zbl 0821.11050 Ford, Kevin B. 15 1995 The representation of numbers as sums of unlike powers. Zbl 0816.11049 Ford, Kevin B. 6 1995 all cited Publications top 5 cited Publications all top 5 Cited by 698 Authors 31 Ford, Kevin B. 30 Shparlinski, Igor E. 19 Luca, Florian 16 Pomerance, Carl Bernard 14 Pollack, Paul 13 Tao, Terence 13 Wooley, Trevor D. 11 Konyagin, Sergeĭ Vladimirovich 10 Moree, Pieter 9 Alkan, Emre 9 Banks, William David 9 Maynard, James 9 Mixon, Dustin G. 8 Zaharescu, Alexandru 7 Granville, Andrew James 7 Koukoulopoulos, Dimitris 6 Bourgain, Jean 6 Chen, Zhixiong 6 Fickus, Matthew C. 6 Filaseta, Michael A. 6 Lamzouri, Youness 6 Languasco, Alessandro 6 Pintz, Janos 6 Roche-Newton, Oliver 6 Rudnev, Misha 6 Sahasrabudhe, Julian 6 Shkredov, Il’ya Dmitrievich 6 Tenenbaum, Gérald 5 Balister, Paul N. 5 Bollobás, Béla 5 Brüdern, Jörg 5 de la Bretèche, Régis 5 Fu, Fangwei 5 Meng, Xianchang 5 Morris, Robert D. 5 Niu, Minyao 5 Radziwiłł, Maksym 5 Shteĭnikov, Yuriĭ Nikolaevich 5 Tiba, Marius 5 Wang, Gang 4 Baier, Stephan 4 Croot, Ernie 4 Cully-Hugill, Michaela 4 Devin, Lucile 4 Garzoni, Daniele 4 Gorodetsky, Ofir 4 Gun, Sanoli 4 Jørgensen, Palle E. T. 4 Khurana, Suraj Singh 4 Martin, Greg 4 Munsch, Marc 4 Murty, Maruti Ram 4 Soundararajan, Kannan 4 Trudgian, Tim 4 Trudgian, Timothy S. 3 Banerjee, Pradipto 3 Chang, Mei-Chu 3 Chatterjee, Tapas 3 Cilleruelo, Javier 3 De Koninck, Jean-Marie 3 Dirksen, Sjoerd 3 Dubickas, Artūras 3 Eberhard, Sean 3 Elsholtz, Christian 3 Finch, Carrie E. 3 Gabdullin, Mikhail R. 3 Garunkštis, Ramūnas 3 Green, Ben Joseph 3 Halupczok, Karin 3 Harrington, Joshua 3 Ivić, Aleksandar 3 Jasper, John Sahayam 3 Johnston, Daniel R. 3 Kandhil, Neelam 3 Kawada, Koichi 3 Kerr, Bryce 3 Li, Huixi 3 Maier, Helmut 3 Mérai, László 3 Rassias, Michael Th. 3 Rauhut, Holger 3 Saad Eddin, Sumaia 3 Sedunova, Alisa 3 Shakan, George 3 Winterhof, Arne 2 Akbary, Amir 2 Albeverio, Sergio A. 2 Alterman, Sebastian Zuniga 2 Axler, Christian 2 Bailleul, Alexandre 2 Balog, Antal 2 Bandeira, Afonso S. 2 Bansal, Arpit 2 Bary-Soroker, Lior 2 Bays, Carter 2 Bellotti, Chiara 2 Bibak, Khodakhast 2 Bordellès, Olivier 2 Bordignon, Matteo 2 Chen, Yonggao ...and 598 more Authors all top 5 Cited in 174 Serials 39 Journal of Number Theory 23 Mathematics of Computation 23 International Journal of Number Theory 22 Mathematika 20 Acta Arithmetica 15 Journal of Mathematical Analysis and Applications 12 Proceedings of the American Mathematical Society 12 Journal de Théorie des Nombres de Bordeaux 10 Integers 9 Bulletin of the Australian Mathematical Society 9 Proceedings of the Steklov Institute of Mathematics 9 Research in Number Theory 8 Mathematical Notes 8 Bulletin of the London Mathematical Society 8 Acta Mathematica Hungarica 8 Experimental Mathematics 8 The Ramanujan Journal 8 Annals of Mathematics. Second Series 7 Israel Journal of Mathematics 7 Advances in Mathematics 7 Duke Mathematical Journal 7 Functiones et Approximatio. Commentarii Mathematici 7 Journal of the London Mathematical Society. Second Series 7 Monatshefte für Mathematik 6 Mathematische Annalen 6 Journal of Integer Sequences 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Inventiones Mathematicae 5 Journal of Algebra 5 Mathematische Zeitschrift 5 Proceedings of the London Mathematical Society. Third Series 5 Linear Algebra and its Applications 4 Compositio Mathematica 4 Transactions of the American Mathematical Society 4 Constructive Approximation 4 Bulletin of the American Mathematical Society. New Series 4 Indagationes Mathematicae. New Series 4 Algebra & Number Theory 3 Discrete Mathematics 3 Michigan Mathematical Journal 3 Combinatorica 3 Journal of the American Mathematical Society 3 SIAM Journal on Discrete Mathematics 3 Journal of the Ramanujan Mathematical Society 3 Applied and Computational Harmonic Analysis 3 Finite Fields and their Applications 2 Communications on Pure and Applied Mathematics 2 Indian Journal of Pure & Applied Mathematics 2 Journal d’Analyse Mathématique 2 Lithuanian Mathematical Journal 2 Periodica Mathematica Hungarica 2 Rocky Mountain Journal of Mathematics 2 Ukrainian Mathematical Journal 2 Applied Mathematics and Computation 2 Canadian Journal of Mathematics 2 Canadian Mathematical Bulletin 2 Illinois Journal of Mathematics 2 Journal of Applied Probability 2 Journal of Functional Analysis 2 Journal of Pure and Applied Algebra 2 Quaestiones Mathematicae 2 Graphs and Combinatorics 2 Probability Theory and Related Fields 2 Journal of Complexity 2 Discrete & Computational Geometry 2 Revista Matemática Iberoamericana 2 Forum Mathematicum 2 The Annals of Applied Probability 2 Designs, Codes and Cryptography 2 Geometric and Functional Analysis. GAFA 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Advances in Computational Mathematics 2 Sbornik: Mathematics 2 The Journal of Fourier Analysis and Applications 2 Journal of Combinatorial Optimization 2 Journal of Group Theory 2 Journal of the European Mathematical Society (JEMS) 2 La Gaceta de la Real Sociedad Matemática Española 2 Journal of the Australian Mathematical Society 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 GAMM-Mitteilungen 2 Chebyshevskiĭ Sbornik 2 Advances in Mathematics of Communications 2 Discrete Mathematics, Algorithms and Applications 2 Japanese Journal of Mathematics. 3rd Series 2 Cryptography and Communications 2 Science China. Information Sciences 2 Mathematics 2 Research in the Mathematical Sciences 1 American Mathematical Monthly 1 Communications in Algebra 1 Discrete Applied Mathematics 1 Inverse Problems 1 Journal of Statistical Physics 1 Chaos, Solitons and Fractals 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 ...and 74 more Serials all top 5 Cited in 39 Fields 476 Number theory (11-XX) 57 Combinatorics (05-XX) 53 Information and communication theory, circuits (94-XX) 33 Probability theory and stochastic processes (60-XX) 26 Group theory and generalizations (20-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 15 Field theory and polynomials (12-XX) 15 Computer science (68-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 14 Numerical analysis (65-XX) 10 Algebraic geometry (14-XX) 9 Convex and discrete geometry (52-XX) 8 Statistics (62-XX) 6 Operations research, mathematical programming (90-XX) 5 History and biography (01-XX) 5 Real functions (26-XX) 5 Special functions (33-XX) 5 Functional analysis (46-XX) 4 Commutative algebra (13-XX) 4 Measure and integration (28-XX) 4 Functions of a complex variable (30-XX) 3 General and overarching topics; collections (00-XX) 3 Geometry (51-XX) 3 Manifolds and cell complexes (57-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Mathematical logic and foundations (03-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 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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