2015 - Member of Academia Europaea
2013 - Fellow of the American Mathematical Society
2006 - Fellow of the Royal Society of Canada Academy of Science
1992 - Fellow of Alfred P. Sloan Foundation
His main research concerns Combinatorics, Discrete mathematics, Prime number, Distribution and Calculus. Andrew Granville works in the field of Combinatorics, focusing on Conjecture in particular. His work carried out in the field of Discrete mathematics brings together such families of science as Multiplicative function and Carmichael number.
His Prime number research is multidisciplinary, incorporating perspectives in Mathematical economics, Gauss and Of the form. Andrew Granville has included themes like Art history, Large sieve, Class, Unit disk and Spectrum in his Calculus study. The various areas that Andrew Granville examines in his Riemann hypothesis study include Character sum and Character.
His scientific interests lie mostly in Combinatorics, Discrete mathematics, Pure mathematics, Multiplicative function and Prime factor. His research integrates issues of Upper and lower bounds and Character in his study of Combinatorics. His Character research is multidisciplinary, incorporating elements of Riemann hypothesis and Bounded function.
His study deals with a combination of Discrete mathematics and Context. His biological study spans a wide range of topics, including Bombieri–Vinogradov theorem, Mathematical proof, Moduli, Multiplicative number theory and Arithmetic. As part of his studies on Prime factor, Andrew Granville frequently links adjacent subjects like Integer.
The scientist’s investigation covers issues in Combinatorics, Multiplicative function, Prime, Pure mathematics and Postage stamp problem. Andrew Granville connects Combinatorics with Sieve in his study. Andrew Granville interconnects Bombieri–Vinogradov theorem and Mathematical proof in the investigation of issues within Multiplicative function.
His Prime study combines topics in areas such as Fourier analysis, Number theory and Modular group. His Postage stamp problem research entails a greater understanding of Discrete mathematics. His Discrete mathematics study frequently draws connections to other fields, such as Range.
Andrew Granville focuses on Multiplicative function, Pure mathematics, Bombieri–Vinogradov theorem, Prime and Mathematical proof. His Multiplicative function study frequently links to other fields, such as Discrete mathematics. Bombieri–Vinogradov theorem is a subfield of Combinatorics that he studies.
His Prime research incorporates elements of Structure, Number theory, Asymptotic formula, Term and Fourier analysis. His Mathematical proof study integrates concerns from other disciplines, such as Arithmetic progression, Current, Upper and lower bounds and Linnik's theorem.
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There are infinitely many Carmichael numbers
William Robert Alford;Andrew Granville;Carl Pomerance.
Annals of Mathematics (1994)
On the Equations zm = F(x, y) and Axp + Byq = Czr
Henri Darmon;Andrew Granville.
Bulletin of The London Mathematical Society (1995)
The distribution of values of L(1, χ d )
Andrew Granville;K. Soundararajan.
Geometric and Functional Analysis (2003)
Smooth numbers: computational number theory and beyond
Algorithmic Number Theory: Lattices, Number Fields, Curves and Cryptography, 2008, ISBN 978-0-521-80854-5, págs. 267-323 (2008)
Defect zero p-blocks for finite simple groups
Andrew Granville;Ken Ono;Ken Ono.
Transactions of the American Mathematical Society (1996)
ABC allows us to count squarefrees
International Mathematics Research Notices (1998)
Harald Cramér and the distribution of prime numbers
Scandinavian Actuarial Journal (1995)
Large character sums: Pretentious characters and the Pólya-Vinogradov theorem
Andrew Granville;Kannan Soundararajan;Kannan Soundararajan.
Journal of the American Mathematical Society (2006)
Prime Number Races
Andrew Granville;Greg Martin.
American Mathematical Monthly (2006)
It is easy to determine whether a given integer is prime
Bulletin of the American Mathematical Society (2004)
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