A. Granville

Andrew Granville, John B. Friedlander, A. Granville, 1993, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.

Squares in Arithmetic

A. Granville, ProgressionsEnrico Bombieri, 1992 .

The square of the Fermat quotient.

A. Granville, 2004 .

A characterization of flnite sets that tile the integers

Yang Wang, A. Granville, I. Laba, 2001, math/0109127.

Defining bernoulli polynomials in Z/pZ (A generic regularity condition)

A. Granville, H. Shank, 1990 .

COUNTING RATIONAL POINTS ON QUADRATIC TWISTS OF A GIVEN ELLIPTIC CURVE

M. Watkins, A. Granville, 2022 .

The Frobenius postage stamp problem, and beyond

A. Granville, G. Shakan, 2020, Acta Mathematica Hungarica.

The first case of fermat’s last theorem is true for all prime exponents up to 714, 591, 416, 091, 389

M. Monagan, A. Granville, 1988 .

Finding integers k for which a given Diophantine equation has no solution in kth powers of integers

A. Granville, 1992 .

Correction to: Zaphod Beeblebrox's Brain and the Fifty-Ninth Row of Pascal's Triangle

A. Granville, 1997 .

Poisson statistics via the Chinese Remainder Theorem

A. Granville, P. Kurlberg, 2004, math/0412135.

Classifying linear division sequences

A. Granville, 2022, 2206.11823.

An Upper Bound on the Least Inert Prime in a Real Quadratic Field

H. C. Williams, R. Mollin, A. Granville, 2000, Canadian Journal of Mathematics.

On the generalised Fermat equation u p + v q + w r = 0

A. Granville, H. Darmon, Julian Beauchamp, 2021 .

BOUNDED GAPS BETWEEN PRIMES

A. Granville, 2013 .

About the cover: A new mathematical celebrity

A. Granville, 2015 .

A Note on Sums of Primes

A. Granville, 1990, Canadian Mathematical Bulletin.

Sieving intervals and Siegel zeros

A. Granville, 2020, Acta Arithmetica.

SMOOTH-SUPPORTED MULTIPLICATIVE FUNCTIONS IN ARITHMETIC PROGRESSIONS BEYOND THE x-BARRIER

A. Granville, X. Shao, Sary Drappeau, 2017 .

When the sieve Works

A. Granville, Dimitris Koukoulopoulos, Kaisa Matomaki, 2012, 1205.0413.

N T ] 1 9 O ct 2 01 5 WHEN THE SIEVE WORKS

A. Granville, Dimitris Koukoulopoulos, Kaisa Matomäki, 2015 .

Different Approaches to the Distribution of Primes

A. Granville, 2010 .

Pretentiousness in analytic number theory

A. Granville, 2009 .

The number of unsieved integers up to $x$

K. Soundararajan, A. Granville, 2003, math/0308009.

Consecutive Real Quadratic Fields with Large Class Numbers

A. Granville, V. Kala, Giacomo Cherubini, 2021, International Mathematics Research Notices.

Extreme values of $|\zeta(1+it)|$

K. Soundararajan, A. Granville, 2005, math/0501232.

The distribution of values of L(1,chi_d)

K. Soundararajan, A. Granville, 2002, math/0206031.

Explicit bounds on exponential sums and the scarcity of squarefree binomial coefficients

Andrew Granville, Olivier Ramaré, A. Granville, 1996 .

An uncertainty principle for arithmetic sequences

K. Soundararajan, A. Granville, 2004, math/0406018.

Diophantine Approximation and Analytic Number Theory

A. Granville, M. Bennett, G. Walsh, 2010 .

N T ] 1 J un 2 00 6 SIEVING AND THE ERDŐS-KAC THEOREM

A. Granville, K. Soundararajan, 2018 .

A panopoly of proofs that there are infinitely many primes

A. Granville, 2017 .

The prime factors of Wendt’s binomial circulant determinant

A. Granville, G. Fee, 1991 .

On Krasner's Criteria for the First Case of Fermat's Last Theorem

A. Granville, 1986 .

Natural exact covering systems and the reversion of the Möbius series

L. B. Richmond, A. Granville, J. Shallit, 2018, The Ramanujan Journal.

HARALD CRAM ER AND THE DISTRIBUTION OF PRIME NUMBERS

Andrew Granville, A. Granville, 1993 .

Primes in Short Intervals: Heuristics and Calculations

Andrew Granville, Allysa Lumley, A. Granville, 2020, Exp. Math..

What is the best approach to counting primes

A. Granville, 2014, 1406.3754.

Unexpected Irregularities in the Distribution of Prime Numbers

A. Granville, 1995 .

Limitations to the equi-distribution of primes. IV

Andrew Granville, John B. Friedlander, A. Granville, 1991, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

Limitations to the equi-distribution of primes I

Andrew Granville, John B. Friedlander, A. Granville, 1989 .

A characterization of flnite sets that tile the integers

Yang Wang, A. Granville, I. Laba, 2001, math/0109127.

On finite sets which tile the integers

A. Granville, I. Laba, Yang Wang December, 2001 .

It is easy to determine whether a given integer is prime

Andrew Granville, A. Granville, 2004 .

Representing binomial coefficients as sums of squares

A. Granville, Yiliang Zhu, 1990 .

Equidistribution in number theory, an introduction

Andrew Granville, Zeév Rudnick, A. Granville, 2006 .

on Sparse Languages L such that LL = Sigma

Sheng Yu, Jeffrey Shallit, Andrew Granville, 1994, Discret. Appl. Math..

Faltings plus epsilon , Wiles plus epsilon , and the Generalized Fermat Equation

A. Granville, 1997 .

An introduction to additive combinatorics

Andrew Granville, A. Granville, 2007 .

Borwein and Bradley's Apérv-Like Formulae for ζ(4n + 3)

Gert Almkvist, Andrew Granville, A. Granville, 1999, Exp. Math..

The distribution of values of L(1, χd)

A. Granville, K. Soundararajan, 2003 .

Large character sums

Andrew Granville, K. Soundararajan, K. Soundararajan, 1999, math/9903196.

Natural exact covering systems and the reversion of the Möbius series

Jeffrey Shallit, L. Bruce Richmond, Andrew Granville, 2017, The Ramanujan Journal.

Zaphod Beeblebrox's brain and the fifty-ninth row of Pascal's triangle

A. Granville, 1992 .

SIEVING AND THE ERDŐS–KAC THEOREM

K. Soundararajan, A. Granville, 2007 .

Rational and Integral Points on Quadratic Twists of a Given Hyperelliptic Curve

A. Granville, 2010 .

Upper Bounds for |L(1, k)|

Andrew Granville, Kannan Soundararajan, K. Soundararajan, 2002 .

UPPER BOUNDS FOR |L(1, χ)|

Andrew Granville, K. Soundararajan, K. Soundararajan, 2001 .

Prime Number Patterns

Andrew Granville, A. Granville, 2008, Am. Math. Mon..

Prime Number Races

Andrew Granville, Greg Martin, A. Granville, 2004, Am. Math. Mon..

THE DISTRIBUTION OF ROOTS OF A POLYNOMIAL

A. Granville, 2007 .

TORSION POINTS ON CURVES

A. Granville, Z. Rudnick, 2007 .

Estimates for representation numbers of quadratic forms

A. Granville, V. Blomer, 2006 .

Corrigendum to "Refinements of Goldbach's conjecture, and the Generalized Riemann Hypothesis"

A. Granville, 2007 .

Fibonacci primes, primes of the form $2^n-k$ and beyond

A. Granville, Jon Grantham, 2023, 2307.07894.

Running Time Predictions for Factoring Algorithms

Prasad Tetali, Robin Pemantle, Andrew Granville, 2008, ANTS.

Sharp Transitions in Making Squares Ernie Croot

R. Pemantle, P. Tetali, A. Granville, 2022 .

Lattice points on circles, squares in arithmetic progressions and sumsets of squares

Javier Cilleruelo, Andrew Granville, A. Granville, 2006, math/0608109.

The Number of Fields Generated by the Square Root of Values of a Given Polynomial

Pamela A. Cutter, A. Granville, T. Tucker, 2003, Canadian Mathematical Bulletin.

On the Equations zm = F(x, y) and Axp + Byq = Czr

A. Granville, H. Darmon, 1995 .

On the Equations Z

Andrew Granville, Henri Darmon, A. Granville, 1995 .

Oscillation theorems for primes in arithmetic progressions and for sifting functions

A. Granville, H. Maier, J. Friedlander, 1991 .

Accepted proofs: Objective truth, or culturally robust

A. Granville, 2023, 2305.02115.

Decay of Mean Values of Multiplicative Functions

A. Granville, K. Soundararajan, 1999, Canadian Journal of Mathematics.

THE SPECTRUM OF MULTIPLICATIVE FUNCTIONS

A. Granville, K. Soundararajan, 2007 .

Motivating the Multiplicative Spectrum

K. Soundararajan, A. Granville, 1999 .

SUMS OF MULTIPLICATIVE FUNCTIONS

A. Granville, 2008 .

Large character sums: Pretentious characters and the Pólya-Vinogradov theorem

Andrew Granville, K. Soundararajan, K. Soundararajan, 2005, math/0503113.

A tight structure theorem for sumsets

Andrew Granville, Aled Walker, A. Granville, 2020, Proceedings of the American Mathematical Society.

Squares in Arithmetic Progressions and Infinitely Many Primes

A. Granville, 2017, Am. Math. Mon..

Bombieri-Vinogradov for multiplicative functions, and beyond the x1/2-barrier

A. Granville, X. Shao, 2017, Advances in Mathematics.

Three conjectures about character sums

Andrew Granville, Alexander P. Mangerel, A. Granville, 2021, Mathematische Zeitschrift.

Smooth-supported multiplicative functions in arithmetic progressions beyond the $x^{1/2}$-barrier

A. Granville, S. Drappeau, X. Shao, 2017, 1704.04831.

Sieve weights and their smoothings

Andrew Granville, James Maynard, Dimitris Koukoulopoulos, 2016, Annales scientifiques de l'École Normale Supérieure.

Multiplicative functions in arithmetic progressions

A. Granville, A. Balog, K. Soundararajan, 2013, Annales mathématiques du Québec.

Multiplicative functions in arithmetic progressions

A. Granville, A. Balog, K. Soundararajan, 2007, math/0702389.

Multiplicative functions in short intervals

A. Granville, 2016 .

Integers, without large prime factors, in arithmetic progressions, I

Andrew Granville, A. Granville, 1993, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.

Missing digits and good approximations

A. Granville, 2023, Bulletin of the American Mathematical Society.

On a Problem of Hering Concerning Orthogonal Covers of Kn

Ronald C. Mullin, Hans-Dietrich O. F. Gronau, Andrew Granville, 1995, J. Comb. Theory, Ser. A.

Computation of the first factor of the class number of cyclotomic fields

A. Granville, G. Fung, H. Williams, 1992 .

Refining the conditions on the Fermat quotient

Andrew Granville, A. Granville, 1985, Mathematical Proceedings of the Cambridge Philosophical Society.

Additive Combinatorics (winter 2005)

A. Granville, 2006 .

The distribution of the zeros of random trigonometric polynomials

A. Granville, I. Wigman, 2008, 0809.1848.

Residue races

P. Shiu, A. Granville, D. Shiu, 2006 .

Beyond the LSD method for the partial sums of multiplicative functions

A. Granville, Dimitris Koukoulopoulos, 2017, The Ramanujan Journal.

Some Conjectures Related to Fermat's Last Theorem

Richard Mollin, Andrew Granville, R. Mollin, 1990 .

ABC implies no “Siegel zeros” for L-functions of characters with negative discriminant

Andrew Granville, H. M. Stark, H. Stark, 2000 .

The frequency and the structure of large character sums

A. Granville, Dimitris Koukoulopoulos, J. Bober, 2014, 1410.8189.

Computation at the Heart of Mathematics : Celebrating the Work of David Boyd , Recipient of the 2005 CRM-Fields Prize

A. Granville, 2022 .

Least primes in arithmetic progressions

A. Granville, 1989 .

A Binary Additive Problem of Erdös and the Order of 2 mod p2

Andrew Granville, Kannan Soundararajan, K. Soundararajan, 1998 .

Negative values of truncations to $L(1,\chi)$

K. Soundararajan, A. Granville, 2005, math/0508361.

The spectrum of multiplicative functions

K. Soundararajan, A. Granville, 1999, math/9909190.

N ov 1 99 9 DECAY OF MEAN-VALUES OF MULTIPLICATIVE FUNCTIONS

K. Soundararajan, A. Granville, 2008 .

Aurifeuillian factorization

Andrew Granville, Peter A. B. Pleasants, P. Pleasants, 2006, Math. Comput..

It ’ s As Easy As abc

A. Granville, T. Tucker, 2002 .

Sieving and the Erd{\H o}s-Kac theorem

K. Soundararajan, A. Granville, 2006, math/0606039.

SIEVING AND THE ERD ŐS – KAC THEOREM

A. Granville, 2006 .

Cycle Lengths in a Permutation are Typically Poisson

Andrew Granville, A. Granville, 2006, Electron. J. Comb..

RABINOWITSCH REVISITED

R. Mollin, A. Granville, 2002 .