Robert C. Rhoades

918 total citations
33 papers, 447 citations indexed

About

Robert C. Rhoades is a scholar working on Algebra and Number Theory, Discrete Mathematics and Combinatorics and Mathematical Physics. According to data from OpenAlex, Robert C. Rhoades has authored 33 papers receiving a total of 447 indexed citations (citations by other indexed papers that have themselves been cited), including 29 papers in Algebra and Number Theory, 19 papers in Discrete Mathematics and Combinatorics and 11 papers in Mathematical Physics. Recurrent topics in Robert C. Rhoades's work include Advanced Mathematical Identities (27 papers), Analytic Number Theory Research (23 papers) and Advanced Combinatorial Mathematics (17 papers). Robert C. Rhoades is often cited by papers focused on Advanced Mathematical Identities (27 papers), Analytic Number Theory Research (23 papers) and Advanced Combinatorial Mathematics (17 papers). Robert C. Rhoades collaborates with scholars based in United States, Germany and Switzerland. Robert C. Rhoades's co-authors include Ken Ono, Jan Hendrik Bruinier, Kathrin Bringmann, Amanda Folsom, Karl Mahlburg, David W. Farmer, Pamela Gorkin, Dohoon Choi, Sander Zwegers and Jeffrey C. Lagarias and has published in prestigious journals such as Proceedings of the National Academy of Sciences, SHILAP Revista de lepidopterología and Transactions of the American Mathematical Society.

In The Last Decade

Robert C. Rhoades

33 papers receiving 419 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Robert C. Rhoades United States	12	380	221	189	109	53	33	447
Eric T. Mortenson Russia	10	404 1.1×	65 0.3×	224 1.2×	58 0.5×	85 1.6×	26	427
Larry Rolen United States	9	219 0.6×	107 0.5×	108 0.6×	84 0.8×	30 0.6×	32	273
Amanda Folsom United States	11	326 0.9×	198 0.9×	146 0.8×	133 1.2×	28 0.5×	47	370
Gordan Savin United States	14	194 0.5×	504 2.3×	178 0.9×	411 3.8×	25 0.5×	54	539
Minking Eie Taiwan	11	257 0.7×	40 0.2×	191 1.0×	47 0.4×	50 0.9×	51	315
Maksym Radziwiłł United States	10	251 0.7×	134 0.6×	113 0.6×	83 0.8×	50 0.9×	34	283
Akihiko Gyoja Japan	10	131 0.3×	214 1.0×	130 0.7×	224 2.1×	21 0.4×	35	285
Yoshio Tanigawa Japan	10	387 1.0×	123 0.6×	132 0.7×	72 0.7×	140 2.6×	65	420
Yuval Z. Flicker United States	14	232 0.6×	600 2.7×	250 1.3×	458 4.2×	45 0.8×	79	642
Hirofumi Tsumura Japan	16	611 1.6×	126 0.6×	364 1.9×	56 0.5×	182 3.4×	74	644

Countries citing papers authored by Robert C. Rhoades

Since Specialization

Citations

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

Fields of papers citing papers by Robert C. Rhoades

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Robert C. Rhoades. 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 Robert C. Rhoades. The network helps show where Robert C. Rhoades may publish in the future.

Co-authorship network of co-authors of Robert C. Rhoades

This figure shows the co-authorship network connecting the top 25 collaborators of Robert C. Rhoades. A scholar is included among the top collaborators of Robert C. Rhoades 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 Robert C. Rhoades. Robert C. Rhoades is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Rhoades, Robert C., et al.. (2020). Numerical simulation of the trapping reaction with mobile and reacting traps. Physical review. E. 101(4). 42112–42112. 4 indexed citations

Rhoades, Robert C., et al.. (2017). On the Andrews-Zagier asymptotics for partitions without sequences. The HKU Scholars Hub (University of Hong Kong). 1 indexed citations

Lagarias, Jeffrey C. & Robert C. Rhoades. (2016). Polyharmonic Maass forms for $$\text {PSL}(2,{\mathbb Z})$$. The Ramanujan Journal. 41(1-3). 191–232. 10 indexed citations

Choi, Dohoon, et al.. (2015). Mock modular forms and quantum modular forms. Proceedings of the American Mathematical Society. 144(6). 2337–2349. 14 indexed citations

Bringmann, Kathrin, Yingkun Li, & Robert C. Rhoades. (2014). Asymptotics for the number of row-Fishburn matrices. European Journal of Combinatorics. 41. 183–196. 9 indexed citations

Diaconis, Persi, et al.. (2014). Closed expressions for averages of set partition statistics. Research in the Mathematical Sciences. 1(1). 7 indexed citations

Folsom, Amanda, Ken Ono, & Robert C. Rhoades. (2013). MOCK THETA FUNCTIONS AND QUANTUM MODULAR FORMS. SHILAP Revista de lepidopterología. 1. 34 indexed citations

Dyson, Freeman J., et al.. (2013). On the Distribution of the spt-Crank. Mathematics. 1(3). 76–88. 8 indexed citations

Rhoades, Robert C.. (2012). Soft asymptotics for generalized spt-functions. Journal of Combinatorial Theory Series A. 120(3). 637–643. 1 indexed citations

10.

Rhoades, Robert C.. (2012). Asymptotics for the Number of Strongly Unimodal Sequences. International Mathematics Research Notices. 2014(3). 700–719. 9 indexed citations

11.

Ono, Ken, et al.. (2012). Unimodal sequences and quantum and mock modular forms. Proceedings of the National Academy of Sciences. 109(40). 16063–16067. 29 indexed citations

12.

Rhoades, Robert C.. (2012). Linear relations among Poincaré series via harmonic weak Maass forms. The Ramanujan Journal. 29(1-3). 311–320. 5 indexed citations

13.

Mahlburg, Karl, et al.. (2011). Asymptotics for rank and crank moments. Bulletin of the London Mathematical Society. 43(4). 661–672. 20 indexed citations

14.

Rhoades, Robert C.. (2009). 2-Selmer groups and the Birch–Swinnerton-Dyer Conjecture for the congruent number curves. Journal of Number Theory. 129(6). 1379–1391. 4 indexed citations

15.

Rhoades, Robert C.. (2009). STATISTICS OF PRIME DIVISORS IN FUNCTION FIELDS. International Journal of Number Theory. 5(1). 141–152. 3 indexed citations

16.

Bruinier, Jan Hendrik, Ken Ono, & Robert C. Rhoades. (2009). Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues. Mathematische Annalen. 345(1). 31–31. 59 indexed citations

17.

Rhoades, Robert C.. (2008). Linear Relations Among Poincare Series. arXiv (Cornell University). 1 indexed citations

18.

Bringmann, Kathrin, Ken Ono, & Robert C. Rhoades. (2007). Eulerian series as modular forms. Journal of the American Mathematical Society. 21(4). 1085–1104. 46 indexed citations

19.

Calkin, Neil J., et al.. (2006). Trivial Selmer Groups and Even Partitions of a Graph. Zenodo (CERN European Organization for Nuclear Research). 3 indexed citations

20.

Farmer, David W. & Robert C. Rhoades. (2005). Differentiation evens out zero spacings. Transactions of the American Mathematical Society. 357(9). 3789–3811. 18 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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