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Granville, Andrew James

Author ID: granville.andrew-j Recent zbMATH articles by "Granville, Andrew James"
Published as: Granville, Andrew; Granville, A.; Granville, Andrew J.
Homepage: https://dms.umontreal.ca/~andrew/
External Links: MGP · Wikidata · Google Scholar · MathOverflow · dblp · GND · IdRef · theses.fr
all top 5

Co-Authors

67 single-authored
21 Soundararajan, Kannan
7 Pomerance, Carl Bernard
6 Friedlander, John Benjamin
5 Koukoulopoulos, Dimitris
4 Moisiadis, Alexandros
3 Harper, Adam J.
3 Rees, Rolf Stephen
3 Rudnick, Zeév
3 Shao, Xuancheng
3 Solymosi, József
3 Walker, Aled
2 Alford, William Robert
2 Balog, Antal
2 Cilleruelo, Javier
2 Croot, Ernie
2 de la Bretèche, Régis
2 Erdős, Pál
2 Fraser, Maia
2 Harris, Michael Howard
2 Martin, Greg
2 McLarty, Colin
2 Mollin, Richard Anthony
2 Pemantle, Robin
2 Riehl, Emily
2 Shakan, George
2 Shallit, Jeffrey Outlaw
2 Tetali, Prasad
2 Tucker, Thomas John
2 Venkatesh, Akshay
2 Wigman, Igor
2 Williams, Hugh Cowie
1 Abrams, Aaron
1 Adhikari, Sukumar Das
1 Agoh, Takashi
1 Alladi, Krishnaswami
1 Almkvist, Gert
1 Alon, Noga
1 Biró, András
1 Blomer, Valentin
1 Bober, Jonathan W.
1 Bombieri, Enrico
1 Brock, Bradley W.
1 Brüdern, Jörg
1 Cai, Tianxin
1 Calkin, Neil J.
1 Canfield, Rod
1 Cherubini, Giacomo
1 Conrey, John Brian
1 Croot, Ernest S. III
1 Cutter, Pamela A.
1 Darmon, Henri René
1 De Koninck, Jean-Marie
1 Deshouillers, Jean-Marc
1 Donnelly, Stephen
1 Drappeau, Sary
1 Dummit, David S.
1 Elkies, Noam David
1 Elliott, Peter D. T. A.
1 Enflo, Per Henrik
1 Faber, Xander
1 Fazzari, Alessandro
1 Fee, Greg J.
1 Filaseta, Michael A.
1 Fisher, Tom A.
1 Fung, Gilbert W.
1 Goldmakher, Leo
1 Goulden, Ian P.
1 Grantham, Jon
1 Granville, Jennifer
1 Gronau, Hans-Dietrich O. F.
1 Hartman, Alan
1 Havil, Julian
1 Hildebrand, Adolf J.
1 Jiménez-Urroz, Jorge
1 Kala, Vítězslav
1 Kamienny, Sheldon
1 Kane, Daniel M.
1 Kisilevsky, Hershy
1 Kurlberg, Pär
1 Łaba, Izabella
1 Lamzouri, Youness
1 Lemke Oliver, Robert J.
1 Li, Shuguang
1 Luca, Florian
1 Lumley, Allysa
1 Maier, Helmut
1 Mangerel, Alexander P.
1 Matomäki, Kaisa
1 Maynard, James
1 Mazur, Barry
1 Monagan, Michael B.
1 Mullin, Ronald Cleveland
1 Narkiewicz, Władysław
1 Nathanson, Melvyn Bernard
1 Ono, Ken
1 Perelli, Alberto
1 Pintz, Janos
1 Pleasants, Peter A. B.
1 Poonen, Bjorn
1 Powell, Barry J.
...and 28 more Co-Authors
all top 5

Serials

9 American Mathematical Monthly
7 Bulletin of the American Mathematical Society. New Series
6 Acta Arithmetica
6 Journal of Number Theory
5 Annals of Mathematics. Second Series
4 Mathematics of Computation
4 Mathematika
4 Notices of the American Mathematical Society
4 The Ramanujan Journal
3 Canadian Journal of Mathematics
3 Duke Mathematical Journal
3 Journal of Combinatorial Theory. Series A
3 Proceedings of the American Mathematical Society
3 Transactions of the American Mathematical Society
3 Journal of the American Mathematical Society
3 IMRN. International Mathematics Research Notices
3 The Quarterly Journal of Mathematics
3 La Gaceta de la Real Sociedad Matemática Española
2 Advances in Mathematics
2 Bulletin of the London Mathematical Society
2 Canadian Mathematical Bulletin
2 Compositio Mathematica
2 Functiones et Approximatio. Commentarii Mathematici
2 Inventiones Mathematicae
2 Journal of the London Mathematical Society. Second Series
2 Comptes Rendus Mathématiques de l’Académie des Sciences
2 Geometric and Functional Analysis. GAFA
2 Philosophical Transactions of the Royal Society of London. Series A
2 Experimental Mathematics
2 The Electronic Journal of Combinatorics
2 Journal of the European Mathematical Society (JEMS)
2 International Journal of Number Theory
2 CRM Proceedings & Lecture Notes
1 Communications in Mathematical Physics
1 Discrete Applied Mathematics
1 Discrete Mathematics
1 Lithuanian Mathematical Journal
1 Linear and Multilinear Algebra
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Acta Mathematica
1 American Journal of Mathematics
1 Annales de l’Institut Fourier
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Bulletin de la Société Mathématique de France
1 The Fibonacci Quarterly
1 Gazette des Mathématiciens
1 Journal für die Reine und Angewandte Mathematik
1 Manuscripta Mathematica
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 Pacific Journal of Mathematics
1 Scandinavian Actuarial Journal
1 Journal of Sichuan University. Natural Science Edition
1 Combinatorica
1 Acta Mathematica Hungarica
1 Graphs and Combinatorics
1 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Aequationes Mathematicae
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 Expositiones Mathematicae
1 Journal de Théorie des Nombres de Bordeaux
1 Finite Fields and their Applications
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Acta Mathematica Sinica. English Series
1 Integers
1 Milan Journal of Mathematics
1 Developments in Mathematics
1 NATO Science Series II: Mathematics, Physics and Chemistry
1 Rivista di Matematica della Università di Parma. New Series
1 Forum of Mathematics, Sigma
1 Annales Mathématiques du Québec
1 Research in Number Theory
1 Princeton Science Library

Publications by Year

Citations contained in zbMATH Open

158 Publications have been cited 2,052 times in 1,701 Documents Cited by Year
Arithmetic properties of binomial coefficients. I: Binomial coefficients modulo prime powers. Zbl 0903.11005
Granville, Andrew
127
1997
Defect zero \(p\)-blocks for finite simple groups. Zbl 0855.20007
Granville, Andrew; Ono, Ken
126
1996
There are infinitely many Carmichael numbers. Zbl 0816.11005
Alford, W. R.; Granville, Andrew; Pomerance, Carl
120
1994
On the equations \(z^ m = F(x,y)\) and \(Ax^ p + By^ q = Cz^ r\). Zbl 0838.11023
Darmon, Henri; Granville, Andrew
95
1995
The distribution of values of \(L(1,\chi_d)\). Zbl 1044.11080
Granville, Andrew; Soundararajan, K.
70
2003
A decomposition of Riemann’s zeta-function. Zbl 0907.11024
Granville, Andrew
70
1997
Smooth numbers: computational number theory and beyond. Zbl 1230.11157
Granville, Andrew
65
2008
Large character sums: pretentious characters and the Pólya-Vinogradov theorem. Zbl 1210.11090
Granville, Andrew; Soundararajan, K.
65
2007
\(abc\) allows us to count squarefrees. Zbl 0924.11018
Granville, Andrew
64
1998
Harald Cramér and the distribution of prime numbers. Zbl 0833.01018
Granville, Andrew
46
1995
Large character sums. Zbl 0983.11053
Granville, Andrew; Soundararajan, K.
45
2001
Prime number races. Zbl 1139.11037
Granville, Andrew; Martin, Greg
32
2006
Explicit bounds on exponential sums and the scarcity of squarefree binomial coefficients. Zbl 0868.11009
Granville, Andrew; Ramaré, Olivier
31
1996
The distribution of the zeros of random trigonometric polynomials. Zbl 1218.60042
Granville, Andrew; Wigman, Igor
28
2011
It’s as easy as \(abc\). Zbl 1160.11318
Granville, Andrew; Tucker, Thomas J.
28
2002
Limitations to the equi-distribution of primes. I. Zbl 0671.10041
Friedlander, John; Granville, Andrew
27
1989
Extreme values of \(|\zeta(1+it)|\). Zbl 1131.11055
Granville, Andrew; Soundararajan, K.
27
2006
Decay of mean values of multiplicative functions. Zbl 1047.11093
Granville, Andrew; Soundararajan, K.
25
2003
Sieving and the Erdős-Kac theorem. Zbl 1145.11071
Granville, Andrew; Soundararajan, K.
25
2007
On the normal behavior of the iterates of some arithmetic functions. Zbl 0721.11034
Erdős, Paul; Granville, A.; Pomerance, C.; Spiro, C.
25
1990
Rational torsion of prime order in elliptic curves over number fields (with an appendix by A. Granville). Zbl 0846.14012
Kamienny, S.; Mazur, B.
22
1995
\(ABC\) implies no “Siegel zeros” for \(L\)-functions of characters with negative discriminant. Zbl 0967.11033
Granville, Andrew; Stark, H. M.
21
2000
Primes in intervals of bounded length. Zbl 1319.11064
Granville, Andrew
20
2015
Zeros of Fekete polynomials. Zbl 1007.11053
Conrey, Brian; Granville, Andrew; Poonen, Bjorn; Soundararajan, K.
19
2000
Unexpected irregularities in the distribution of prime numbers. Zbl 0843.11043
Granville, Andrew
19
1995
Prime factors of dynamical sequences. Zbl 1290.11019
Faber, Xander; Granville, Andrew
19
2011
The spectrum of multiplicative functions. Zbl 1036.11042
Granville, Andrew; Soundararajan, K.
18
2001
Lattice points on circles, squares in arithmetic progressions and sumsets of squares. Zbl 1183.11058
Cilleruelo, Javier; Granville, Andrew
18
2007
Squares in arithmetic progressions. Zbl 0771.11034
Bombieri, Enrico; Granville, Andrew; Pintz, János
16
1992
On the distribution of rational functions along a curve over \(\mathbb F_p\) and residue races. Zbl 1068.11043
Granville, Andrew; Shparlinski, Igor E.; Zaharescu, Alexandru
16
2005
A new proof of Halász’s theorem, and its consequences. Zbl 1443.11200
Granville, Andrew; Harper, Adam J.; Soundararajan, K.
16
2019
Borwein and Bradley’s Apéry-like formulae for \(\zeta(4n+3)\). Zbl 0976.11035
Almkvist, Gert; Granville, Andrew
15
1999
Planck-scale mass equidistribution of toral Laplace eigenfunctions. Zbl 1376.58012
Granville, Andrew; Wigman, Igor
15
2017
Pretentious multiplicative functions and an inequality for the zeta-function. Zbl 1187.11032
Granville, Andrew; Soundararajan, Kannan
14
2008
Upper bounds for \(|L(1,\chi)|\). Zbl 1022.11041
Granville, Andrew; Soundararajan, K.
14
2002
Some conjectures related to Fermat’s Last Theorem. Zbl 0702.11015
Granville, Andrew
14
1990
Two contradictory conjectures concerning Carmichael numbers. Zbl 0991.11067
Granville, Andrew; Pomerance, Carl
13
2002
Multiplicative functions in arithmetic progressions. Zbl 1306.11078
Balog, Antal; Granville, Andrew; Soundararajan, Kannan
13
2013
The square of the Fermat quotient. Zbl 1083.11005
Granville, Andrew
13
2004
Integers, without large prime factors, in arithmetic progressions. I. Zbl 0784.11045
Granville, Andrew
13
1993
Estimates for representation numbers of quadratic forms. Zbl 1135.11020
Blomer, Valentin; Granville, Andrew
13
2006
Subdesigns in Steiner quadruple systems. Zbl 0726.05017
Granville, Andrew; Hartman, Alan
13
1991
More points than expected on curves over finite field extensions. Zbl 1023.11029
Brock, Bradley W.; Granville, Andrew
12
2001
On the difficulty of finding reliable witnesses. Zbl 0828.11074
Alford, W. R.; Granville, Andrew; Pomerance, Carl
12
1994
Values of Bernoulli polynomials. Zbl 0856.11008
Granville, Andrew; Sun, Zhi-Wei
12
1996
Rational and integral points on quadratic twists of a given hyperelliptic curve. Zbl 1129.11028
Granville, Andrew
12
2007
Oscillation theorems for primes in arithmetic progressions and for sifting functions. Zbl 0724.11040
Friedlander, John; Granville, Andrew; Hildebrand, Adolf; Maier, Helmut
12
1991
The first case of Fermat’s last theorem is true for all prime exponents up to \(714,591,416,091,389\). Zbl 0645.10018
Granville, Andrew; Monagan, Michael B.
11
1988
When the sieve works. Zbl 1326.11055
Granville, Andrew; Koukoulopoulos, Dimitris; Matomäki, Kaisa
11
2015
On the residues of binomial coefficients and their products modulo prime powers. Zbl 1026.11005
Cai, Tianxin; Granville, Andrew
10
2002
Refinements of Goldbach’s conjecture, and the generalized Riemann hypothesis. Zbl 1230.11123
Granville, Andrew
10
2007
Zaphod Beeblebrox’s brain and the fifty-ninth row of Pascal’s triangle. Zbl 0757.05003
Granville, Andrew
10
1992
Bombieri-Vinogradov for multiplicative functions, and beyond the \(x^{1/2}\)-barrier. Zbl 1473.11185
Granville, Andrew; Shao, Xuancheng
10
2019
Big biases amongst products of two primes. Zbl 1347.11067
Dummit, David; Granville, Andrew; Kisilevsky, Hershy
10
2016
On the size of the first factor of the class number of a cyclotomic field. Zbl 0701.11051
Granville, A.
10
1990
Prime divisors are Poisson distributed. Zbl 1118.11005
Granville, Andrew
9
2007
An uncertainty principle for arithmetic sequences. Zbl 1139.11040
Granville, Andrew; Soundararajan, K.
9
2007
Integers, without large prime factors, in arithmetic progressions. II. Zbl 0792.11036
Granville, Andrew
9
1993
Large character sums: Burgess’s theorem and zeros of \(L\)-functions. Zbl 1444.11177
Granville, Andrew; Soundararajan, Kannan
9
2018
The frequency and the structure of large character sums. Zbl 1409.11079
Bober, Jonathan; Goldmakher, Leo; Granville, Andrew; Koukoulopoulos, Dimitris
9
2018
Nested Steiner n-cycle systems and perpendicular arrays. Zbl 0732.05006
Granville, A.; Moisiadis, A.; Rees, R.
9
1988
Prime suspects. The anatomy of integers and permutations. Illustrated by Robert J. Lewis. Zbl 1423.00004
Granville, Andrew; Granville, Jennifer
9
2019
Checking the Goldbach conjecture on a vector computer. Zbl 0679.10002
Granville, A.; Van de Lune, J.; te Riele, H. J. J.
8
1989
Cycle lengths in a permutation are typically Poisson. Zbl 1171.05001
Granville, Andrew
8
2006
On sharp transitions in making squares. Zbl 1321.11122
Croot, Ernie; Granville, Andrew; Pemantle, Robin; Tetali, Prasad
8
2012
It is easy to determine whether a given integer is prime. Zbl 1110.11002
Granville, Andrew
8
2005
On the exponential sum over \(k\)-free numbers. Zbl 0922.11071
Brüdern, J.; Granville, A.; Perelli, A.; Vaughan, R. C.; Wooley, T. D.
8
1998
Mean values of multiplicative functions over function fields. Zbl 1394.11069
Granville, Andrew; Harper, Adam J.; Soundararajan, Kannan
8
2015
On complementary decompositions of the complete graph. Zbl 0674.05050
Granville, Andrew; Moisiadis, Alexandros; Rees, Rolf
7
1989
On pairs of coprime integers with no large prime factors. Zbl 0745.11043
Granville, Andrew
7
1991
Computation of the first factor of the class number of cyclotomic fields. Zbl 0762.11039
Fung, Gilbert; Granville, Andrew; Williams, Hugh C.
7
1992
Irreducibility and greatest common divisor algorithms for sparse polynomials. Zbl 1270.11129
Filaseta, Michael; Granville, Andrew; Schinzel, Andrzej
7
2008
Poisson statistics via the Chinese remainder theorem. Zbl 1211.11109
Granville, Andrew; Kurlberg, Pär
7
2008
Smooth-supported multiplicative functions in arithmetic progressions beyond the \(x^{1/2}\)-barrier. Zbl 1428.11174
Drappeau, Sary; Granville, Andrew; Shao, Xuancheng
7
2017
The Frobenius postage stamp problem, and beyond. Zbl 07301143
Granville, A.; Shakan, G.
7
2020
Ranks of quadratic twists of elliptic curves. Zbl 1365.11070
Watkins, Mark; Donnelly, Stephen; Elkies, Noam D.; Fisher, Tom; Granville, Andrew; Rogers, Nicholas F.
7
2014
A binary additive problem of Erdős and the order of \(2 \bmod {p^2}\). Zbl 0912.11003
Granville, Andrew; Soundararajan, K.
6
1998
On the least prime in certain arithmetic progression. Zbl 0658.10049
Granville, Andrew; Pomerance, Carl
6
1990
Visibility in the plane. Zbl 1176.11027
Adhikari, Sukumar Das; Granville, Andrew
6
2009
The prime factors of Wendt’s binomial circulant determinant. Zbl 0767.11059
Fee, Greg; Granville, Andrew
6
1991
Limitations to the equi-distribution of primes. IV. Zbl 0736.11049
Friedlander, John; Granville, Andrew
6
1991
Different approaches to the distribution of primes. Zbl 1275.11129
Granville, Andrew
6
2010
The number of sumsets in a finite field. Zbl 1223.11028
Alon, Noga; Granville, Andrew; Ubis, Adrián
6
2010
Corrigendum to “Refinements of Goldbach’s conjecture, and the generalized Riemann hypothesis”. Zbl 1235.11092
Granville, Andrew
6
2008
Smoothing ‘smooth’ numbers. Zbl 0795.11041
Friedlander, John B.; Granville, Andrew
6
1993
Beyond the LSD method for the partial sums of multiplicative functions. Zbl 1455.11128
Granville, Andrew; Koukoulopoulos, Dimitris
6
2019
A more intuitive proof of a sharp version of Halász’s theorem. Zbl 1456.11182
Granville, Andrew; Harper, Adam J.; Soundararajan, Kannan
6
2018
When does the Bombieri-Vinogradov theorem hold for a given multiplicative function? Zbl 1451.11105
Granville, Andrew; Shao, Xuancheng
6
2018
The number of fields generated by the square root of values of a given polynomial. Zbl 1044.11087
Cutter, Pamela; Granville, Andrew; Tucker, Thomas J.
5
2003
Relevance of the residue class to the abundance of primes. Zbl 0795.11040
Friedlander, John B.; Granville, Andrew
5
1992
An upper bound on the least inert prime in a real quadratic field. Zbl 1053.11092
Granville, Andrew; Mollin, R. A.; Williams, H. C.
5
2000
Powerful numbers and Fermat’s Last Theorem. Zbl 0595.10011
Granville, Andrew
5
1986
Zeta functions for ideal classes in real quadratic fields, at \(s=0\). Zbl 1276.11180
Biró, András; Granville, Andrew
5
2012
A note on sums of primes. Zbl 0691.10039
Granville, Andrew
5
1990
The distribution of roots of a polynomial. Zbl 1170.11016
Granville, Andrew
5
2007
On positive integers \(\leq x\) with prime factors \(\leq t\,\log \,x\). Zbl 0686.10031
Granville, Andrew
5
1989
On a paper of Agur, Fraenkel and Klein. Zbl 0755.05005
Granville, Andrew
5
1991
Aurifeuillian factorization. Zbl 1107.11050
Granville, Andrew; Pleasants, Peter
5
2006
Squares in arithmetic progressions and infinitely many primes. Zbl 1391.11115
Granville, Andrew
5
2017
Equidistribution in number theory, an introduction. Proceedings of the NATO Advanced Study Institute on equidistribution in number theory, Montréal, Canada, July 11–22, 2005. Zbl 1121.11004
5
2007
Primes in short intervals: heuristics and calculations. Zbl 07708950
Granville, Andrew; Lumley, Allysa
2
2023
Three conjectures about character sums. Zbl 1533.11150
Granville, Andrew; Mangerel, Alexander P.
2
2023
Consecutive real quadratic fields with large class numbers. Zbl 1532.11152
Cherubini, Giacomo; Fazzari, Alessandro; Granville, Andrew; Kala, Vítězslav; Yatsyna, Pavlo
1
2023
Exponential sums with multiplicative coefficients and applications. Zbl 1505.11124
de la Bretèche, Régis; Granville, Andrew
2
2022
The man who loved problems: Richard K. Guy. Zbl 1493.01053
Granville, Andrew; Pomerance, Carl
1
2022
Sieving intervals and Siegel zeros. Zbl 1504.11089
Granville, Andrew
1
2022
A tight structure theorem for sumsets. Zbl 1496.11048
Granville, Andrew; Walker, Aled
5
2021
An alternative to Vaughan’s identity. Zbl 1482.11123
Granville, Andrew
1
2021
The Frobenius postage stamp problem, and beyond. Zbl 07301143
Granville, A.; Shakan, G.
7
2020
A new proof of Halász’s theorem, and its consequences. Zbl 1443.11200
Granville, Andrew; Harper, Adam J.; Soundararajan, K.
16
2019
Bombieri-Vinogradov for multiplicative functions, and beyond the \(x^{1/2}\)-barrier. Zbl 1473.11185
Granville, Andrew; Shao, Xuancheng
10
2019
Prime suspects. The anatomy of integers and permutations. Illustrated by Robert J. Lewis. Zbl 1423.00004
Granville, Andrew; Granville, Jennifer
9
2019
Beyond the LSD method for the partial sums of multiplicative functions. Zbl 1455.11128
Granville, Andrew; Koukoulopoulos, Dimitris
6
2019
Natural exact covering systems and the reversion of the Möbius series. Zbl 1427.05022
Goulden, I. P.; Granville, Andrew; Richmond, L. Bruce; Shallit, Jeffrey
4
2019
Number theory revealed: a masterclass. Zbl 1454.11002
Granville, Andrew
4
2019
Number theory revealed: an introduction. Zbl 1454.11001
Granville, Andrew
1
2019
Large character sums: Burgess’s theorem and zeros of \(L\)-functions. Zbl 1444.11177
Granville, Andrew; Soundararajan, Kannan
9
2018
The frequency and the structure of large character sums. Zbl 1409.11079
Bober, Jonathan; Goldmakher, Leo; Granville, Andrew; Koukoulopoulos, Dimitris
9
2018
A more intuitive proof of a sharp version of Halász’s theorem. Zbl 1456.11182
Granville, Andrew; Harper, Adam J.; Soundararajan, Kannan
6
2018
When does the Bombieri-Vinogradov theorem hold for a given multiplicative function? Zbl 1451.11105
Granville, Andrew; Shao, Xuancheng
6
2018
Planck-scale mass equidistribution of toral Laplace eigenfunctions. Zbl 1376.58012
Granville, Andrew; Wigman, Igor
15
2017
Smooth-supported multiplicative functions in arithmetic progressions beyond the \(x^{1/2}\)-barrier. Zbl 1428.11174
Drappeau, Sary; Granville, Andrew; Shao, Xuancheng
7
2017
Squares in arithmetic progressions and infinitely many primes. Zbl 1391.11115
Granville, Andrew
5
2017
Gaps between fractional parts, and additive combinatorics. Zbl 1430.11011
Balog, Antal; Granville, Andrew; Solymosi, Jozsef
5
2017
Big biases amongst products of two primes. Zbl 1347.11067
Dummit, David; Granville, Andrew; Kisilevsky, Hershy
10
2016
Sum-product formulae. Zbl 1407.11043
Granville, Andrew; Solymosi, József
5
2016
Primes in intervals of bounded length. Zbl 1319.11064
Granville, Andrew
20
2015
When the sieve works. Zbl 1326.11055
Granville, Andrew; Koukoulopoulos, Dimitris; Matomäki, Kaisa
11
2015
Mean values of multiplicative functions over function fields. Zbl 1394.11069
Granville, Andrew; Harper, Adam J.; Soundararajan, Kannan
8
2015
Best possible densities of Dickson \(m\)-tuples, as a consequence of Zhang-Maynard-Tao. Zbl 1391.11116
Granville, Andrew; Kane, Daniel M.; Koukoulopoulos, Dimitris; Oliver, Robert J. Lemke
4
2015
About the cover: a new mathematical celebrity. Zbl 1310.01017
Granville, Andrew
1
2015
Ranks of quadratic twists of elliptic curves. Zbl 1365.11070
Watkins, Mark; Donnelly, Stephen; Elkies, Noam D.; Fisher, Tom; Granville, Andrew; Rogers, Nicholas F.
7
2014
Friable density. (Densité des friables.) Zbl 1318.11121
de la Bretèche, Régis; Granville, Andrew
3
2014
Multiplicative functions in arithmetic progressions. Zbl 1306.11078
Balog, Antal; Granville, Andrew; Soundararajan, Kannan
13
2013
On sharp transitions in making squares. Zbl 1321.11122
Croot, Ernie; Granville, Andrew; Pemantle, Robin; Tetali, Prasad
8
2012
Zeta functions for ideal classes in real quadratic fields, at \(s=0\). Zbl 1276.11180
Biró, András; Granville, Andrew
5
2012
Primitive prime factors in second-order linear recurrence sequences. Zbl 1272.11027
Granville, Andrew
1
2012
The distribution of the zeros of random trigonometric polynomials. Zbl 1218.60042
Granville, Andrew; Wigman, Igor
28
2011
Prime factors of dynamical sequences. Zbl 1290.11019
Faber, Xander; Granville, Andrew
19
2011
Different approaches to the distribution of primes. Zbl 1275.11129
Granville, Andrew
6
2010
The number of sumsets in a finite field. Zbl 1223.11028
Alon, Noga; Granville, Andrew; Ubis, Adrián
6
2010
Visibility in the plane. Zbl 1176.11027
Adhikari, Sukumar Das; Granville, Andrew
6
2009
Close lattice points on circles. Zbl 1229.11124
Cilleruelo, Javier; Granville, Andrew
4
2009
Pretentiousness in analytic number theory. Zbl 1236.11086
Granville, Andrew
3
2009
Smooth numbers: computational number theory and beyond. Zbl 1230.11157
Granville, Andrew
65
2008
Pretentious multiplicative functions and an inequality for the zeta-function. Zbl 1187.11032
Granville, Andrew; Soundararajan, Kannan
14
2008
Irreducibility and greatest common divisor algorithms for sparse polynomials. Zbl 1270.11129
Filaseta, Michael; Granville, Andrew; Schinzel, Andrzej
7
2008
Poisson statistics via the Chinese remainder theorem. Zbl 1211.11109
Granville, Andrew; Kurlberg, Pär
7
2008
Corrigendum to “Refinements of Goldbach’s conjecture, and the generalized Riemann hypothesis”. Zbl 1235.11092
Granville, Andrew
6
2008
Prime number patterns. Zbl 1145.11069
Granville, Andrew
2
2008
Running time predictions for factoring algorithms. Zbl 1205.11132
Croot, Ernie; Granville, Andrew; Pemantle, Robin; Tetali, Prasad
1
2008
Anatomy of integers. Based on the CRM workshop, Montreal, Canada, March 13–17, 2006. Zbl 1142.11002
1
2008
Large character sums: pretentious characters and the Pólya-Vinogradov theorem. Zbl 1210.11090
Granville, Andrew; Soundararajan, K.
65
2007
Sieving and the Erdős-Kac theorem. Zbl 1145.11071
Granville, Andrew; Soundararajan, K.
25
2007
Lattice points on circles, squares in arithmetic progressions and sumsets of squares. Zbl 1183.11058
Cilleruelo, Javier; Granville, Andrew
18
2007
Rational and integral points on quadratic twists of a given hyperelliptic curve. Zbl 1129.11028
Granville, Andrew
12
2007
Refinements of Goldbach’s conjecture, and the generalized Riemann hypothesis. Zbl 1230.11123
Granville, Andrew
10
2007
Prime divisors are Poisson distributed. Zbl 1118.11005
Granville, Andrew
9
2007
An uncertainty principle for arithmetic sequences. Zbl 1139.11040
Granville, Andrew; Soundararajan, K.
9
2007
The distribution of roots of a polynomial. Zbl 1170.11016
Granville, Andrew
5
2007
Equidistribution in number theory, an introduction. Proceedings of the NATO Advanced Study Institute on equidistribution in number theory, Montréal, Canada, July 11–22, 2005. Zbl 1121.11004
5
2007
Negative values of truncations to \(L(1,\chi)\). Zbl 1214.11093
Granville, Andrew; Soundararajan, K.
4
2007
Uniform distribution. Zbl 1142.11054
Granville, Andrew; Rudnick, Zeév
4
2007
Torsion points on curves. Zbl 1172.11020
Granville, Andrew; Rudnick, Zeév
3
2007
Erratum: Prime divisors are Poisson distributed. Zbl 1234.11126
Granville, Andrew
3
2007
An introduction to additive combinatorics. Zbl 1183.11007
Granville, Andrew
3
2007
Prime number races. Zbl 1139.11037
Granville, Andrew; Martin, Greg
32
2006
Extreme values of \(|\zeta(1+it)|\). Zbl 1131.11055
Granville, Andrew; Soundararajan, K.
27
2006
Estimates for representation numbers of quadratic forms. Zbl 1135.11020
Blomer, Valentin; Granville, Andrew
13
2006
Cycle lengths in a permutation are typically Poisson. Zbl 1171.05001
Granville, Andrew
8
2006
Aurifeuillian factorization. Zbl 1107.11050
Granville, Andrew; Pleasants, Peter
5
2006
Residue races. Zbl 1161.11300
Granville, Andrew; Shiu, Daniel; Shiu, Peter
2
2006
On the distribution of rational functions along a curve over \(\mathbb F_p\) and residue races. Zbl 1068.11043
Granville, Andrew; Shparlinski, Igor E.; Zaharescu, Alexandru
16
2005
It is easy to determine whether a given integer is prime. Zbl 1110.11002
Granville, Andrew
8
2005
Prime number races. Zbl 1358.11139
Granville, Andrew; Martin, Greg
1
2005
The square of the Fermat quotient. Zbl 1083.11005
Granville, Andrew
13
2004
Errata to: The distribution of values of \(L(1,\chi_d)\). Zbl 1188.11039
Granville, A.; Soundararajan, K.
2
2004
The number of unsieved integers up to \(x\). Zbl 1055.11057
Granville, Andrew; Soundararajan, K.
1
2004
The distribution of values of \(L(1,\chi_d)\). Zbl 1044.11080
Granville, Andrew; Soundararajan, K.
70
2003
Decay of mean values of multiplicative functions. Zbl 1047.11093
Granville, Andrew; Soundararajan, K.
25
2003
The number of fields generated by the square root of values of a given polynomial. Zbl 1044.11087
Cutter, Pamela; Granville, Andrew; Tucker, Thomas J.
5
2003
It’s as easy as \(abc\). Zbl 1160.11318
Granville, Andrew; Tucker, Thomas J.
28
2002
Upper bounds for \(|L(1,\chi)|\). Zbl 1022.11041
Granville, Andrew; Soundararajan, K.
14
2002
Two contradictory conjectures concerning Carmichael numbers. Zbl 0991.11067
Granville, Andrew; Pomerance, Carl
13
2002
On the residues of binomial coefficients and their products modulo prime powers. Zbl 1026.11005
Cai, Tianxin; Granville, Andrew
10
2002
Unit fractions and the class number of a cyclotomic field. Zbl 1056.11059
Croot, Ernest S. III; Granville, Andrew
2
2002
Product of integers in an interval, modulo squares. Zbl 1107.11042
Granville, Andrew; Selfridge, J. L.
1
2002
Large character sums. Zbl 0983.11053
Granville, Andrew; Soundararajan, K.
45
2001
The spectrum of multiplicative functions. Zbl 1036.11042
Granville, Andrew; Soundararajan, K.
18
2001
More points than expected on curves over finite field extensions. Zbl 1023.11029
Brock, Bradley W.; Granville, Andrew
12
2001
\(ABC\) implies no “Siegel zeros” for \(L\)-functions of characters with negative discriminant. Zbl 0967.11033
Granville, Andrew; Stark, H. M.
21
2000
Zeros of Fekete polynomials. Zbl 1007.11053
Conrey, Brian; Granville, Andrew; Poonen, Bjorn; Soundararajan, K.
19
2000
An upper bound on the least inert prime in a real quadratic field. Zbl 1053.11092
Granville, Andrew; Mollin, R. A.; Williams, H. C.
5
2000
Rabinowitsch revisited. Zbl 0985.11040
Granville, Andrew; Mollin, Richard A.
4
2000
The least common multiple and lattice points on hyperbolas. Zbl 0983.11058
Granville, Andrew; Jiménez-Urroz, Jorge
3
2000
Borwein and Bradley’s Apéry-like formulae for \(\zeta(4n+3)\). Zbl 0976.11035
Almkvist, Gert; Granville, Andrew
15
1999
The set of differences of a given set. Zbl 0983.05077
Granville, Andrew; Roesler, Friedrich
3
1999
On the scarcity of powerful binomial coefficients. Zbl 1033.11007
Granville, Andrew
2
1999
Motivating the multiplicative spectrum. Zbl 0935.11033
Granville, Andrew; Soundararajan, K.
2
1999
\(abc\) allows us to count squarefrees. Zbl 0924.11018
Granville, Andrew
64
1998
...and 58 more Documents
all top 5

Cited by 1,744 Authors

52 Shparlinski, Igor E.
41 Granville, Andrew James
28 Luca, Florian
27 Soundararajan, Kannan
21 Banks, William David
18 Lamzouri, Youness
18 Pollack, Paul
18 Pomerance, Carl Bernard
15 Matomäki, Kaisa
14 Ford, Kevin B.
14 Sun, Zhi-Wei
13 Radziwiłł, Maksym
13 Tao, Terence
13 Tenenbaum, Gérald
12 Mangerel, Alexander P.
12 Moree, Pieter
11 Zaharescu, Alexandru
10 Harper, Adam J.
10 Ramaré, Olivier
9 Bennett, Michael A.
9 Eie, Minking
9 Pan, Hao
9 Shao, Xuancheng
8 Drappeau, Sary
8 Konyagin, Sergeĭ Vladimirovich
8 Maynard, James
8 Meštrović, Romeo
8 Teräväinen, Joni
8 Wu, Jie
8 Zhang, Zhenxiang
7 Bradley, David M.
7 Cilleruelo, Javier
7 de la Bretèche, Régis
7 Erdélyi, Tamás
7 Friedlander, John Benjamin
7 Hajdu, Lajos
7 Klurman, Oleksiy
7 Lagarias, Jeffrey C.
7 Munsch, Marc
7 Ohno, Yasuo
7 Sofos, Efthymios
7 Stănică, Pantelimon
7 Wigman, Igor
6 Aymone, Marco
6 Baruah, Nayandeep Deka
6 Bourgain, Jean
6 Chen, Kwang-Wu
6 Croot, Ernie
6 De Koninck, Jean-Marie
6 Elsholtz, Christian
6 Freiberg, Tristan
6 Goldmakher, Leo
6 Hoffman, Michael E.
6 Ji, Lijun
6 Koparal, Sibel
6 Koukoulopoulos, Dimitris
6 Kowalski, Emmanuel
6 Lengyel, Tamás
6 Martin, Greg
6 Navarro, Gabriel
6 Omur, Nese
6 Ono, Ken
6 Ostafe, Alina
6 Poonen, Bjorn
6 Rudnick, Zeév
6 Silverman, Joseph Hillel
6 Tong-Viet, Hung P.
6 Vatwani, Akshaa
6 Winterhof, Arne
5 Alkan, Emre
5 Bhowmik, Gautami
5 Borwein, Peter Benjamin
5 Chen, Yonggao
5 David, Chantal
5 Devin, Lucile
5 Dietmann, Rainer
5 Dilcher, Karl
5 Du, Xiaoni
5 Fiorilli, Daniel
5 Freitas, Nuno
5 Gorodetsky, Ofir
5 Grantham, Jon
5 Kerr, Bryce
5 Kurlberg, Pär
5 Lau, Yuk-Kam
5 Lemke Oliver, Robert J.
5 Louboutin, Stéphane R.
5 Marinucci, Domenico
5 Moshe, Yossi
5 Poly, Guillaume
5 Richter, Florian Karl
5 Roy, Akash Singha
5 Sun, Zhihong
5 Tauraso, Roberto
5 Tengely, Szabolcs
5 Tucker, Thomas John
5 Zhang, Wenpeng
4 Aistleitner, Christoph
4 Bary-Soroker, Lior
4 Blomer, Valentin
...and 1,644 more Authors
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Cited in 274 Serials

196 Journal of Number Theory
74 International Journal of Number Theory
62 Mathematics of Computation
44 Proceedings of the American Mathematical Society
41 The Ramanujan Journal
40 Mathematika
37 Transactions of the American Mathematical Society
35 Integers
33 Discrete Mathematics
29 Mathematical Proceedings of the Cambridge Philosophical Society
27 Journal of Algebra
26 Acta Arithmetica
24 Journal de Théorie des Nombres de Bordeaux
21 Mathematische Annalen
20 Bulletin of the Australian Mathematical Society
19 Advances in Mathematics
19 Functiones et Approximatio. Commentarii Mathematici
19 Monatshefte für Mathematik
17 Experimental Mathematics
16 Archiv der Mathematik
16 Compositio Mathematica
15 Journal of Mathematical Analysis and Applications
15 Journal of Combinatorial Theory. Series A
15 Bulletin of the American Mathematical Society. New Series
15 Finite Fields and their Applications
14 Bulletin of the London Mathematical Society
14 Journal of the London Mathematical Society. Second Series
13 Indagationes Mathematicae. New Series
12 American Mathematical Monthly
12 Israel Journal of Mathematics
12 Journal d’Analyse Mathématique
12 Mathematische Zeitschrift
12 Annals of Mathematics. Second Series
12 Research in Number Theory
11 Rocky Mountain Journal of Mathematics
11 Canadian Mathematical Bulletin
11 Designs, Codes and Cryptography
11 Journal of the European Mathematical Society (JEMS)
11 Algebra & Number Theory
10 Duke Mathematical Journal
10 Science China. Mathematics
9 The Electronic Journal of Combinatorics
9 Journal of Integer Sequences
9 Mediterranean Journal of Mathematics
8 Communications in Algebra
8 Czechoslovak Mathematical Journal
8 Inventiones Mathematicae
8 Michigan Mathematical Journal
8 Proceedings of the London Mathematical Society. Third Series
8 Geometric and Functional Analysis. GAFA
8 Journal of the Australian Mathematical Society
8 Forum of Mathematics, Sigma
8 Discrete Analysis
7 Discrete Applied Mathematics
7 Mathematical Notes
7 Journal für die Reine und Angewandte Mathematik
7 Acta Mathematica Hungarica
7 Revista Matemática Iberoamericana
7 Journal of the American Mathematical Society
7 Acta Mathematica Sinica. English Series
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
6 Expositiones Mathematicae
6 Electronic Journal of Probability
6 Research in the Mathematical Sciences
5 Lithuanian Mathematical Journal
5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
5 Annales de l’Institut Fourier
5 Canadian Journal of Mathematics
5 Colloquium Mathematicum
5 Journal of Pure and Applied Algebra
5 Nagoya Mathematical Journal
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5 Journal of Group Theory
5 Oberwolfach Reports
4 Information Processing Letters
4 The Mathematical Intelligencer
4 Journal of the Mathematical Society of Japan
4 Pacific Journal of Mathematics
4 Theoretical Computer Science
4 European Journal of Combinatorics
4 Journal of Symbolic Computation
4 Aequationes Mathematicae
4 Elemente der Mathematik
4 Stochastic Processes and their Applications
4 Turkish Journal of Mathematics
4 Annals of Combinatorics
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Journal of the Institute of Mathematics of Jussieu
4 Journal of Statistical Mechanics: Theory and Experiment
3 Communications in Mathematical Physics
3 Indian Journal of Pure & Applied Mathematics
3 Periodica Mathematica Hungarica
3 The Fibonacci Quarterly
3 Journal of Functional Analysis
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Quaestiones Mathematicae
3 Results in Mathematics
3 Graphs and Combinatorics
...and 174 more Serials
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Cited in 49 Fields

1,451 Number theory (11-XX)
239 Combinatorics (05-XX)
111 Algebraic geometry (14-XX)
100 Group theory and generalizations (20-XX)
86 Probability theory and stochastic processes (60-XX)
52 Dynamical systems and ergodic theory (37-XX)
45 Information and communication theory, circuits (94-XX)
42 Computer science (68-XX)
36 Special functions (33-XX)
35 Functions of a complex variable (30-XX)
31 Field theory and polynomials (12-XX)
27 Commutative algebra (13-XX)
21 Global analysis, analysis on manifolds (58-XX)
17 Harmonic analysis on Euclidean spaces (42-XX)
15 Associative rings and algebras (16-XX)
14 Convex and discrete geometry (52-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
12 Partial differential equations (35-XX)
11 Numerical analysis (65-XX)
10 Sequences, series, summability (40-XX)
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7 History and biography (01-XX)
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6 General and overarching topics; collections (00-XX)
6 Several complex variables and analytic spaces (32-XX)
6 Quantum theory (81-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Nonassociative rings and algebras (17-XX)
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4 Approximations and expansions (41-XX)
4 Geometry (51-XX)
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4 Statistics (62-XX)
3 Potential theory (31-XX)
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3 Mathematics education (97-XX)
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2 Operations research, mathematical programming (90-XX)
1 General algebraic systems (08-XX)
1 Difference and functional equations (39-XX)
1 Abstract harmonic analysis (43-XX)
1 General topology (54-XX)
1 Biology and other natural sciences (92-XX)

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