Scott Ahlgren

1.1k total citations
46 papers, 582 citations indexed

About

Scott Ahlgren is a scholar working on Algebra and Number Theory, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Scott Ahlgren has authored 46 papers receiving a total of 582 indexed citations (citations by other indexed papers that have themselves been cited), including 41 papers in Algebra and Number Theory, 29 papers in Mathematical Physics and 20 papers in Geometry and Topology. Recurrent topics in Scott Ahlgren's work include Analytic Number Theory Research (34 papers), Advanced Algebra and Geometry (29 papers) and Advanced Mathematical Identities (28 papers). Scott Ahlgren is often cited by papers focused on Analytic Number Theory Research (34 papers), Advanced Algebra and Geometry (29 papers) and Advanced Mathematical Identities (28 papers). Scott Ahlgren collaborates with scholars based in United States, South Korea and France. Scott Ahlgren's co-authors include Ken Ono, Jeremy Lovejoy, Byungchan Kim, Jeremy Lovejoy, Kathrin Bringmann, Bruce C. Berndt, Doron Zeilberger, Alexandru Zaharescu, Ae Ja Yee and Matthew A. Papanikolas and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Mathematics of Computation and Journal of Mathematical Analysis and Applications.

In The Last Decade

Scott Ahlgren

45 papers receiving 556 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Scott Ahlgren United States 13 517 262 218 154 66 46 582
Grigori Kolesnik United States 9 378 0.7× 141 0.5× 158 0.7× 163 1.1× 87 1.3× 21 468
Линг Лонг United States 8 261 0.5× 99 0.4× 73 0.3× 104 0.7× 102 1.5× 26 308
Valentin Blomer Germany 15 631 1.2× 498 1.9× 246 1.1× 261 1.7× 53 0.8× 69 695
T. D. Browning United Kingdom 13 364 0.7× 185 0.7× 127 0.6× 444 2.9× 108 1.6× 76 541
Wenguang Zhai China 10 317 0.6× 147 0.6× 76 0.3× 121 0.8× 64 1.0× 78 340
Zhi-Hong Sun China 12 493 1.0× 89 0.3× 209 1.0× 135 0.9× 69 1.0× 61 529
Jörg Brüdern Germany 13 594 1.1× 206 0.8× 275 1.3× 348 2.3× 61 0.9× 112 667
Maksym Radziwiłł United States 10 251 0.5× 134 0.5× 113 0.5× 83 0.5× 50 0.8× 34 283
Emré Alkan Türkiye 10 309 0.6× 137 0.5× 48 0.2× 96 0.6× 91 1.4× 59 338
Maxim Aleksandrovich Korolev Russia 13 432 0.8× 217 0.8× 141 0.6× 153 1.0× 107 1.6× 87 514

Countries citing papers authored by Scott Ahlgren

Since Specialization
Citations

This map shows the geographic impact of Scott Ahlgren'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 Scott Ahlgren with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Scott Ahlgren more than expected).

Fields of papers citing papers by Scott Ahlgren

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Scott Ahlgren. 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 Scott Ahlgren. The network helps show where Scott Ahlgren may publish in the future.

Co-authorship network of co-authors of Scott Ahlgren

This figure shows the co-authorship network connecting the top 25 collaborators of Scott Ahlgren. A scholar is included among the top collaborators of Scott Ahlgren 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 Scott Ahlgren. Scott Ahlgren 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.
Ahlgren, Scott, et al.. (2024). The Shimura lift and congruences for modular forms with the eta multiplier. Advances in Mathematics. 447. 109655–109655.
2.
Ahlgren, Scott, et al.. (2018). A polyharmonic Maass form of depth 3/2 for SL2(Z). Journal of Mathematical Analysis and Applications. 468(2). 1018–1042. 2 indexed citations
3.
Ahlgren, Scott & Byungchan Kim. (2017). Congruences for a mock modular form on SL2(Z) and the smallest parts function. Journal of Number Theory. 189. 81–89. 2 indexed citations
4.
Ahlgren, Scott, et al.. (2016). A note on cusp forms as p-adic limits. Journal of Number Theory. 168. 360–373. 1 indexed citations
5.
Ahlgren, Scott, et al.. (2015). Algebraic and transcendental formulas for the smallest parts function. Advances in Mathematics. 289. 411–437. 13 indexed citations
6.
Ahlgren, Scott, Kathrin Bringmann, & Jeremy Lovejoy. (2011). ℓ-adic properties of smallest parts functions. Advances in Mathematics. 228(1). 629–645. 17 indexed citations
7.
Ahlgren, Scott, Dohoon Choi, & Jeremy Rouse. (2009). Congruences for level four cusp forms. Mathematical Research Letters. 16(4). 683–701. 1 indexed citations
8.
Ahlgren, Scott, et al.. (2008). Vanishing of modular forms at infinity. Proceedings of the American Mathematical Society. 137(4). 1205–1214. 2 indexed citations
9.
Ahlgren, Scott, et al.. (2008). Rank generating functions as weakly holomorphic modular forms. Acta Arithmetica. 133(3). 267–279. 9 indexed citations
10.
Ahlgren, Scott, et al.. (2007). Congruences for modular forms of weights two and four. Journal of Number Theory. 126(2). 193–199. 4 indexed citations
11.
Ahlgren, Scott. (2002). The Points of a Certain Fivefold over Finite Fields and the Twelfth Power of the Eta Function. Finite Fields and Their Applications. 8(1). 18–33. 12 indexed citations
12.
Ahlgren, Scott. (2001). Multiplicative Relations in Powers of Euler's Product. Journal of Number Theory. 89(2). 222–233. 3 indexed citations
13.
Ahlgren, Scott & Ken Ono. (2001). Addition and counting: the arithmetic of partitions. Notices of the American Mathematical Society. 48(9). 978–984. 24 indexed citations
14.
Ahlgren, Scott & Jeremy Lovejoy. (2001). The arithmetic of partitions into distinct parts. Mathematika. 48(1-2). 203–211. 21 indexed citations
15.
Ahlgren, Scott & Ken Ono. (2000). Modularity of a Certain Calabi-Yau Threefold. Monatshefte für Mathematik. 129(3). 177–190. 23 indexed citations
16.
Ahlgren, Scott & Ken Ono. (2000). A Gaussian hypergeometric series evaluation and Apéry number congruences. Journal für die reine und angewandte Mathematik (Crelles Journal). 2000(518). 78 indexed citations
17.
Ahlgren, Scott. (1999). Distribution of parity of the partition function in arithmetic progressions. Indagationes Mathematicae. 10(2). 173–181. 22 indexed citations
18.
Ahlgren, Scott. (1999). The sixth, eighth, ninth, and tenth powers of Ramanujan’s theta function. Proceedings of the American Mathematical Society. 128(5). 1333–1338. 9 indexed citations
19.
Ahlgren, Scott. (1999). The set of solutions of a polynomial-exponential equation. Acta Arithmetica. 87(3). 189–207. 2 indexed citations
20.
Ahlgren, Scott. (1997). Polynomial–Exponential Equations in Two Variables. Journal of Number Theory. 62(2). 428–438. 2 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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