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- Andrew Granville

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
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Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
31
Citations
4,768
186
World Ranking
2554
National Ranking
103

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

- Algebra
- Number theory
- Combinatorics

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.

- There are infinitely many Carmichael numbers (256 citations)
- The distribution of values of L(1, χ d ) (143 citations)
- Defect zero p-blocks for finite simple groups (125 citations)

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.

- Combinatorics (49.75%)
- Discrete mathematics (34.98%)
- Pure mathematics (18.23%)

- Combinatorics (49.75%)
- Multiplicative function (17.24%)
- Prime (13.79%)

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.

- THE FREQUENCY AND THE STRUCTURE OF LARGE CHARACTER SUMS (12 citations)
- A new proof of Halász's Theorem, and its consequences (10 citations)
- When does the Bombieri-Vinogradov Theorem hold for a given multiplicative function? (8 citations)

- Algebra
- Number theory
- Complex number

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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

There are infinitely many Carmichael numbers

William Robert Alford;Andrew Granville;Carl Pomerance.

Annals of Mathematics **(1994)**

669 Citations

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

Henri Darmon;Andrew Granville.

Bulletin of The London Mathematical Society **(1995)**

306 Citations

The distribution of values of L(1, χ d )

Andrew Granville;K. Soundararajan.

Geometric and Functional Analysis **(2003)**

226 Citations

Smooth numbers: computational number theory and beyond

Andrew Granville.

Algorithmic Number Theory: Lattices, Number Fields, Curves and Cryptography, 2008, ISBN 978-0-521-80854-5, págs. 267-323 **(2008)**

203 Citations

Defect zero p-blocks for finite simple groups

Andrew Granville;Ken Ono;Ken Ono.

Transactions of the American Mathematical Society **(1996)**

195 Citations

ABC allows us to count squarefrees

Andrew Granville.

International Mathematics Research Notices **(1998)**

170 Citations

Harald Cramér and the distribution of prime numbers

Andrew Granville.

Scandinavian Actuarial Journal **(1995)**

155 Citations

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

Andrew Granville;Kannan Soundararajan;Kannan Soundararajan.

Journal of the American Mathematical Society **(2006)**

151 Citations

Prime Number Races

Andrew Granville;Greg Martin.

American Mathematical Monthly **(2006)**

131 Citations

It is easy to determine whether a given integer is prime

Andrew Granville.

Bulletin of the American Mathematical Society **(2004)**

119 Citations

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