Andrew Granville

Q: What Schools Are Affiliated With Andrew Granville

Andrew Granville is affiliated with the following schools: Université de Montréal, University College London, University of British Columbia, Queen's University at Kingston, University of Georgia

Andrew Granville's AcademicInfluence.com Rankings

Andrew Granville

Mathematics

#670

World Rank

#1230

Historical Rank

Measure Theory

#2550

World Rank

#3058

Historical Rank

mathematics Degrees

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Mathematics

Why Is Andrew Granville Influential?

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According to Wikipedia, Andrew James Granville is a British mathematician, working in the field of number theory. He has been a faculty member at the Université de Montréal since 2002. Before moving to Montreal he was a mathematics professor at the University of Georgia from 1991 until 2002. He was a section speaker in the 1994 International Congress of Mathematicians together with Carl Pomerance from UGA.

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Andrew Granville's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

There are infinitely many Carmichael numbers (1994) (381)
HARALD CRAM ER AND THE DISTRIBUTION OF PRIME NUMBERS (1993) (168)
Defect zero p-blocks for finite simple groups (1996) (167)
Smooth numbers: computational number theory and beyond (2008) (158)
The distribution of values of L(1, χd) (2003) (153)
Large character sums: Pretentious characters and the Pólya-Vinogradov theorem (2005) (142)
ABC allows us to count squarefrees (1998) (134)
Analytic Number Theory: A Decomposition of Riemann's Zeta-Function (1997) (131)
On the Equations zm = F(x, y) and Axp + Byq = Czr (1995) (126)
Prime Number Races (2004) (101)
The Distribution of Values of L(1; ) (2007) (97)
Large character sums (1999) (91)
Limitations to the equi-distribution of primes I (1989) (88)
It is easy to determine whether a given integer is prime (2004) (70)
Explicit bounds on exponential sums and the scarcity of squarefree binomial coefficients (1996) (70)
Equidistribution in number theory, an introduction (2006) (70)
Zaphod Beeblebrox's brain and the fifty-ninth row of Pascal's triangle (1992) (69)
The distribution of the zeros of random trigonometric polynomials (2008) (62)
SIEVING AND THE ERDŐS–KAC THEOREM (2007) (59)
Decay of Mean Values of Multiplicative Functions (1999) (58)
Unexpected Irregularities in the Distribution of Prime Numbers (1995) (57)
It ’ s As Easy As abc (2002) (54)
ABC implies no “Siegel zeros” for L-functions of characters with negative discriminant (2000) (48)
Borwein and Bradley's Apérv-Like Formulae for ζ(4n + 3) (1999) (46)
Extreme values of $|ζ(1+it)|$ (2005) (46)
Primes in intervals of bounded length (2014) (44)
Two contradictory conjectures concerning Carmichael numbers (2002) (44)
Integers, without large prime factors, in arithmetic progressions, I (1993) (44)
Zeros of Fekete polynomials (1999) (44)
Pretentious multiplicative functions and an inequality for the zeta-function (2006) (39)
Oscillation theorems for primes in arithmetic progressions and for sifting functions (1991) (39)
Lattice points on circles, squares in arithmetic progressions and sumsets of squares (2006) (38)
The first case of fermat’s last theorem is true for all prime exponents up to 714, 591, 416, 091, 389 (1988) (37)
Visibility in the plane (2009) (37)
Ranks of quadratic twists of elliptic curves (2015) (36)
Some Conjectures Related to Fermat's Last Theorem (1990) (36)
Values of Bernoulli polynomials (1996) (36)
On the distribution of rational functions along a curve over Fp and residue races (2005) (36)
Checking the Goldbach conjecture on a vector computer (1988) (34)
On the difficulty of finding reliable witnesses (1994) (33)
Prime factors of dynamical sequences (2009) (32)
Estimates for representation numbers of quadratic forms (2006) (31)
The square of the Fermat quotient. (2004) (31)
On the Equations Z (1995) (30)
Planck-Scale Mass Equidistribution of Toral Laplace Eigenfunctions (2016) (30)
Faltings plus epsilon , Wiles plus epsilon , and the Generalized Fermat Equation (1997) (29)
More Points Than Expected on Curves over Finite Field Extensions (2001) (27)
TORSION POINTS ON CURVES (2007) (27)
Cycle Lengths in a Permutation are Typically Poisson (2006) (27)
An uncertainty principle for arithmetic sequences (2004) (27)
Rational and Integral Points on Quadratic Twists of a Given Hyperelliptic Curve (2010) (26)
On the exponential sum over k–free numbers (1998) (24)
Different Approaches to the Distribution of Primes (2010) (24)
A new proof of Halász’s theorem, and its consequences (2017) (22)
Limitations to the equi-distribution of primes. IV (1991) (22)
Upper Bounds for |L(1, k)| (2002) (22)
THE ANATOMY OF INTEGERS AND PERMUTATIONS (2008) (21)
Number Theory and Polynomials: Irreducibility and greatest common divisor algorithms for sparse polynomials (2008) (21)
UPPER BOUNDS FOR |L(1, χ)| (2001) (21)
Subdesigns in Steiner quadruple systems (1991) (20)
An introduction to additive combinatorics (2007) (20)
RABINOWITSCH REVISITED (2002) (20)
Poisson statistics via the Chinese Remainder Theorem (2004) (19)
Anatomy of Integers (2008) (19)
On the size of the first factor of the class number of a cyclotomic field (1990) (19)
THE FUNDAMENTAL THEOREM OF ARITHMETIC (1998) (19)
Corrigendum to "Refinements of Goldbach's conjecture, and the Generalized Riemann Hypothesis" (2007) (19)
The frequency and the structure of large character sums (2014) (19)
A Binary Additive Problem of Erdős and the Order of 2 mod p 2 (1998) (18)
PRIME DIVISORS ARE POISSON DISTRIBUTED (2007) (17)
A Binary Additive Problem of Erdös and the Order of 2 mod p2 (1998) (17)
On the Residues of Binomial Coefficients and Their Products Modulo Prime Powers (2002) (17)
The prime factors of Wendt’s binomial circulant determinant (1991) (16)
The spectrum of multiplicative functions (1999) (16)
On the Least Prime in Certain Arithmetic Progressions (1990) (16)
THE DISTRIBUTION OF ROOTS OF A POLYNOMIAL (2007) (15)
Bombieri-Vinogradov for multiplicative functions, and beyond the x1/2-barrier (2017) (15)
Notes on Fermat's Last Theorem (2012) (15)
The Number of Fields Generated by the Square Root of Values of a Given Polynomial (2003) (15)
Computation of the first factor of the class number of cyclotomic fields (1992) (15)
Mean values of multiplicative functions over function fields (2015) (15)
Prime Number Patterns (2008) (14)
On a paper of Agur, Fraenkel and Klein (1991) (14)
Upper bounds for (2002) (13)
Large character sums: Burgess's theorem and zeros of $L$-functions (2015) (13)
Smoothing ‘smooth’ numbers (1993) (13)
On sharp transitions in making squares (2008) (13)
Big biases amongst products of two primes (2014) (13)
Multiplicative functions in arithmetic progressions (2007) (12)
Gaps between fractional parts, and additive combinatorics (2014) (12)
When the sieve Works (2012) (12)
An upper bound in Goldbach’s problem (1993) (12)
On Elementary Proofs of the Prime Number Theorem for Arithmetic Progressions, without Characters (1993) (12)
The number of sumsets in a finite field (2010) (12)
Beyond the LSD method for the partial sums of multiplicative functions (2017) (12)
Close Lattice Points on Circles (2009) (11)
Sum-product formulae (2016) (11)
Bounding the coefficients of a divisor of a given polynomial (1990) (11)
Negative values of truncations to L(1 (2005) (10)
The Frobenius postage stamp problem, and beyond (2020) (10)
An Upper Bound on the Least Inert Prime in a Real Quadratic Field (2000) (10)
Correction to: Zaphod Beeblebrox's Brain and the Fifty-Ninth Row of Pascal's Triangle (1997) (10)
A tight structure theorem for sumsets (2020) (10)
Running Time Predictions for Factoring Algorithms (2008) (9)
Smooth-supported multiplicative functions in arithmetic progressions beyond the $x^{1/2}$-barrier (2017) (9)
A more intuitive proof of a sharp version of Hal\'asz's theorem (2017) (9)
Representing binomial coefficients as sums of squares (1990) (8)
On a Problem of Hering Concerning Orthogonal Covers of Kn (1995) (8)
Zeta functions for ideal classes in real quadratic fields, at s=0☆ (2012) (8)
A characterization of flnite sets that tile the integers (2001) (7)
The number of unsieved integers up to $x$ (2003) (7)
Squares in Arithmetic Progressions and Infinitely Many Primes (2017) (7)
THE SET OF DIFFERENCES OF A GIVEN SET (1999) (7)
The least common multiple and lattice points on hyperbolas (2000) (7)
A Note on Sums of Primes (1990) (7)
Least primes in arithmetic progressions (1989) (6)
WHEN DOES THE BOMBIERI–VINOGRADOV THEOREM HOLD FOR A GIVEN MULTIPLICATIVE FUNCTION? (2017) (6)
On the number of solutions of the generalized Fermat equation (1994) (6)
Natural exact covering systems and the reversion of the Möbius series (2017) (6)
Aurifeuillian factorization (2006) (6)
Pretentiousness in analytic number theory (2009) (5)
SIEVING AND THE ERD ŐS – KAC THEOREM (2006) (5)
Refining the conditions on the Fermat quotient (1985) (5)
The Kummer-wieferich-skula Approach to the First Case of Fermat's Last Theorem (2007) (5)
Consecutive Real Quadratic Fields with Large Class Numbers (2021) (5)
PRIMES AT A (SOMEWHAT LENGTHY) GLANCE (1997) (5)
Sieving intervals and Siegel zeros (2020) (5)
on Sparse Languages L such that LL = Sigma (1994) (4)
Best Possible Densities of Dickson m-Tuples, as a Consequence of Zhang–Maynard–Tao (2014) (4)
The lattice points of ann-dimensional tetrahedron (1991) (4)
The World's Most Famous Math Problem: The Proof of Fermat's Last Theorem and Other Mathematical Mysteries (1993) (4)
About the cover: A new mathematical celebrity (2015) (4)
On the Number of Co-Prime-Free Sets (1996) (4)
Finding integers k for which a given Diophantine equation has no solution in kth powers of integers (1992) (3)
Prime Suspects (2019) (3)
Sieving and the Erd{\H o}s-Kac theorem (2006) (3)
On finite sets which tile the integers (2001) (3)
On Krasner's Criteria for the First Case of Fermat's Last Theorem (1986) (3)
On the scarcity of powerful binomial coefficients (1999) (3)
Effective results on the size and structure of sumsets (2021) (3)
What is the best approach to counting primes (2014) (3)
Some Conjectures in Analytic Number Theory And their Connection With Fermat’s Last Theorem (1990) (3)
Residue races (2006) (3)
Sophie Germain's theorem for prime pairs p, 6p + 1 (1987) (2)
International team shows that primes can be found in surprising places (1998) (2)
ERRATUM: "PRIME DIVISORS ARE POISSON DISTRIBUTED" (2007) (2)
Primes in Short Intervals: Heuristics and Calculations (2020) (2)
On Sophie Germain type criteria for Fermat's Last Theorem (1988) (2)
Errata to: “The distribution of values of L(1, χd)”, in GAFA 13:5 (2003) (2004) (2)
Motivating the Multiplicative Spectrum (1999) (2)
A good new millenium for the primes (2006) (2)
Exponential sums with multplicative coefficients and applications (2021) (2)
Primitive prime factors in second-order linear recurrence sequences (2012) (2)
A panopoly of proofs that there are infinitely many primes (2017) (2)
Product of Integers in an Interval, Modulo Squares (2001) (2)
There Are Innnitely Many Carmichael Numbers Larger Values Were Subsequently Found (2007) (1)
On the Size of the Rst Factor of the Class Number of a Cyclotomic Eld (1990) (1)
Classifying linear division sequences (2022) (1)
The World's Most Famous Math Problem (The Proof of Fermat's Last Theorem and Other Mathematical Mysteries). By Marilyn vos Savant (1995) (1)
Notes on Fermat's Last Theorem. By Alf van der Poorten (1999) (1)
The distribution of values of L(1,chi_d) (2002) (1)
Three conjectures about character sums (2021) (1)
Using Dynamical Systems to Construct Infinitely Many Primes (2017) (1)
Sharp Transitions in Making Squares Ernie Croot (1)
Diophantine Approximation and Analytic Number Theory (2010) (1)
Unit Fractions and the Class Number of a Cyclotomic Field (2002) (1)
Additive Combinatorics (winter 2005) (2006) (1)
Accepted proofs: Objective truth, or culturally robust (2023) (1)
Extreme values of $|\zeta(1+it)|$ (2005) (1)
BOUNDED GAPS BETWEEN PRIMES (2013) (1)
Coffee Coffee Coffee Coffee Coffee 1100-1200 (2012) (0)
On the generalised Fermat equation u p + v q + w r = 0 (2021) (0)
The Benefits of an Alternative Approach to Analytic Number Theory (2017) (0)
Mean values of multiplicative functions over function fields (2015) (0)
Defining Bernoulli polynomials in / (a generic regularity condition) (1990) (0)
Defining bernoulli polynomials in Z/pZ (A generic regularity condition) (1990) (0)
Writing and performing mathematics as metaphor (2015) (0)
Negative values of truncations to $L(1,\chi)$ (2005) (0)
Upper bounds for |L(1,chi)| (2001) (0)
Solution to a problem of Bombieri (1993) (0)
Analytic and Elementary Number Theory: A Tribute to Mathematical Legend Paul Erdos (1998) (0)
Squares in Arithmetic (1992) (0)
In Mathematics, As In Art (2022) (0)
Planck-Scale Mass Equidistribution of Toral Laplace Eigenfunctions (2017) (0)
N T ] 1 9 O ct 2 01 5 WHEN THE SIEVE WORKS (2015) (0)
Natural exact covering systems and the reversion of the Möbius series (2018) (0)
On some density theorems in number theory and group theory (2013) (0)
The number of possibilities for random dating (2008) (0)
Beyond the LSD method for the partial sums of multiplicative functions (2019) (0)
MAA SEAWAY FALL MEETING SUNY PLATTSBURGH , 2010 Friday night speaker (2010) (0)
Multiplicative functions in arithmetic progressions (2013) (0)
EXPONENTIAL SUMS WITH MULTIPLICATIVE COEFFICIENTS (2007) (0)
Large deviations of sums of random variables (2021) (0)
Multiplicative functions in short intervals (2016) (0)
SUMS OF MULTIPLICATIVE FUNCTIONS (2008) (0)
N T ] 1 J un 2 00 6 SIEVING AND THE ERDŐS-KAC THEOREM (2018) (0)
COUNTING RATIONAL POINTS ON QUADRATIC TWISTS OF A GIVEN ELLIPTIC CURVE (0)
N ov 1 99 9 DECAY OF MEAN-VALUES OF MULTIPLICATIVE FUNCTIONS (2008) (0)
Analytic and Elementary Number Theory (1998) (0)
A ug 2 00 5 NEGATIVE VALUES OF TRUNCATIONS TO L ( 1 , χ ) (2022) (0)
The mathematics Of Prime Suspects (2019) (0)
Gaps between primes (2019) (0)
Computation at the Heart of Mathematics : Celebrating the Work of David Boyd , Recipient of the 2005 CRM-Fields Prize (0)
IV.2 Analytic Number Theory (2010) (0)
O ct 2 02 0 ARITHMETIC PROGRESSIONS OF CARMICHAEL NUMBERS IN A REDUCED RESIDUE CLASS (2020) (0)
An alternative to Vaughan's identity (2020) (0)
N T ] 3 0 O ct 2 01 4 GAPS BETWEEN FRACTIONAL PARTS , AND ADDITIVE COMBINATORICS (2014) (0)
Selected mathematical reviews (2005) (0)
Two Surprising Appearances of Potential Theory: A Fair Partition of the Sphere and Overhanging Blocks (2017) (0)
N T ] 3 0 M ar 2 02 1 EXPONENTIAL SUMS WITH MULTIPLICATIVE COEFFICIENTS AND APPLICATIONS (2021) (0)
An upper bound in Goldbach ' s problembyJean (1993) (0)
Proof in the time of machines (2023) (0)
Sieve weights and their smoothings (2016) (0)
The William Lowell Putnam Mathematical Competition 2001–2016 (2020) (0)
The Man Who Loved Problems: Richard K. Guy (2022) (0)

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Other Resources About Andrew Granville

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What Schools Are Affiliated With Andrew Granville?

Andrew Granville is affiliated with the following schools: