Andrew Granville

3.8k total citations
124 papers, 1.5k citations indexed

About

Andrew Granville is a scholar working on Algebra and Number Theory, Geometry and Topology and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Andrew Granville has authored 124 papers receiving a total of 1.5k indexed citations (citations by other indexed papers that have themselves been cited), including 81 papers in Algebra and Number Theory, 47 papers in Geometry and Topology and 43 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Andrew Granville's work include Analytic Number Theory Research (76 papers), Limits and Structures in Graph Theory (31 papers) and History and Theory of Mathematics (29 papers). Andrew Granville is often cited by papers focused on Analytic Number Theory Research (76 papers), Limits and Structures in Graph Theory (31 papers) and History and Theory of Mathematics (29 papers). Andrew Granville collaborates with scholars based in Canada, United States and United Kingdom. Andrew Granville's co-authors include K. Soundararajan, Carl Pomerance, Ken Ono, Henri Darmon, John Friedlander, Greg Martin, Olivier Ramaré, József Solymosi, Melvyn B. Nathanson and Igor Wigman and has published in prestigious journals such as Mathematics of Computation, Communications in Mathematical Physics and Annals of Mathematics.

In The Last Decade

Andrew Granville

115 papers receiving 1.3k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Andrew Granville Canada 20 1.0k 624 577 338 267 124 1.5k
J. Pintz Hungary 19 776 0.7× 460 0.7× 620 1.1× 161 0.5× 170 0.6× 88 1.2k
Alexandru Zaharescu United States 18 939 0.9× 508 0.8× 258 0.4× 578 1.7× 220 0.8× 269 1.4k
Melvyn B. Nathanson United States 16 539 0.5× 508 0.8× 707 1.2× 234 0.7× 164 0.6× 139 1.4k
L. N. Vaserstein United States 21 807 0.8× 768 1.2× 644 1.1× 804 2.4× 150 0.6× 77 1.5k
T. N. Shorey India 15 669 0.6× 572 0.9× 204 0.4× 300 0.9× 157 0.6× 101 1.0k
Władysław Narkiewicz Poland 14 639 0.6× 702 1.1× 229 0.4× 322 1.0× 231 0.9× 74 1.2k
Hugh L. Montgomery United States 21 1.8k 1.8× 870 1.4× 710 1.2× 769 2.3× 250 0.9× 66 2.4k
William C. Waterhouse United States 18 637 0.6× 928 1.5× 228 0.4× 617 1.8× 236 0.9× 146 1.5k
Kálmán Győry Hungary 18 655 0.6× 855 1.4× 166 0.3× 404 1.2× 179 0.7× 96 1.2k
Lowell Schoenfeld United States 13 976 0.9× 544 0.9× 407 0.7× 262 0.8× 349 1.3× 22 1.5k

Countries citing papers authored by Andrew Granville

Since Specialization
Citations

This map shows the geographic impact of Andrew Granville's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Andrew Granville with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Andrew Granville more than expected).

Fields of papers citing papers by Andrew Granville

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Andrew Granville. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Andrew Granville. The network helps show where Andrew Granville may publish in the future.

Co-authorship network of co-authors of Andrew Granville

This figure shows the co-authorship network connecting the top 25 collaborators of Andrew Granville. A scholar is included among the top collaborators of Andrew Granville based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Andrew Granville. Andrew Granville is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Granville, Andrew, et al.. (2024). Fibonacci primes, primes of the form 2  − k and beyond. Journal of Number Theory. 261. 190–219.
2.
Granville, Andrew, et al.. (2024). The multiplication table constant and sums of two squares. Acta Arithmetica. 214. 499–522. 1 indexed citations
3.
Granville, Andrew. (2024). Proof in the time of machines. Bulletin of the American Mathematical Society. 61(2). 317–329. 1 indexed citations
4.
Granville, Andrew, et al.. (2023). Three conjectures about character sums. Mathematische Zeitschrift. 305(3).
5.
Granville, Andrew, et al.. (2019). Bombieri-Vinogradov for multiplicative functions, and beyond the x1/2-barrier. Advances in Mathematics. 350. 304–358. 1 indexed citations
6.
Granville, Andrew, et al.. (2018). The frequency and the structure of large character sums. Journal of the European Mathematical Society. 20(7). 1759–1818. 4 indexed citations
7.
Granville, Andrew, Adam J. Harper, & K. Soundararajan. (2018). A new proof of Halász’s theorem, and its consequences. Compositio Mathematica. 155(1). 126–163. 8 indexed citations
8.
Granville, Andrew, et al.. (2018). WHEN DOES THE BOMBIERI–VINOGRADOV THEOREM HOLD FOR A GIVEN MULTIPLICATIVE FUNCTION?. Forum of Mathematics Sigma. 6. 3 indexed citations
9.
Koninck, Jean–Marie De, Andrew Granville, & Florian Luca. (2008). Anatomy of Integers. UWSpace (University of Waterloo). 8 indexed citations
10.
Granville, Andrew, Melvyn B. Nathanson, & József Solymosi. (2007). Additive Combinatorics. 58 indexed citations
11.
Blomer, Valentin & Andrew Granville. (2006). Estimates for representation numbers of quadratic forms. Duke Mathematical Journal. 135(2). 12 indexed citations
12.
Almkvist, Gert & Andrew Granville. (1999). Borwein and Bradley's Apérv-Like Formulae for ζ(4n + 3). Experimental Mathematics. 8(2). 197–203. 21 indexed citations
13.
Granville, Andrew. (1993). Integers, without large prime factors, in arithmetic progressions. II. Philosophical Transactions of the Royal Society of London Series A Physical and Engineering Sciences. 345(1676). 349–362. 9 indexed citations
14.
Friedlander, John & Andrew Granville. (1992). Limitations to the equi-distribution of primes III. Compositio Mathematica. 81(1). 19–32. 3 indexed citations
15.
Friedlander, John & Andrew Granville. (1991). Limitations to the equi-distribution of primes. IV. Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences. 435(1893). 197–204. 5 indexed citations
16.
Granville, Andrew, et al.. (1991). The prime factors of Wendt’s binomial circulant determinant. Mathematics of Computation. 57(196). 839–848. 10 indexed citations
17.
Friedlander, John, Andrew Granville, Adolf Hildebrand, & Helmut Maier. (1991). Oscillation theorems for primes in arithmetic progressions and for sifting functions. Journal of the American Mathematical Society. 4(1). 25–86. 15 indexed citations
18.
Granville, Andrew. (1991). On a paper of Agur, Fraenkel and Klein. Discrete Mathematics. 94(2). 147–151. 8 indexed citations
19.
Granville, Andrew, et al.. (1990). Representing Binomial Coefficients as Sums of Squares. American Mathematical Monthly. 97(6). 486–493. 2 indexed citations
20.
Granville, Andrew, et al.. (1988). Checking the Goldbach conjecture on a vector computer. Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands. 423–433. 13 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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