Robert Osburn

614 total citations
32 papers, 302 citations indexed

About

Robert Osburn is a scholar working on Algebra and Number Theory, Discrete Mathematics and Combinatorics and Geometry and Topology. According to data from OpenAlex, Robert Osburn has authored 32 papers receiving a total of 302 indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Algebra and Number Theory, 20 papers in Discrete Mathematics and Combinatorics and 14 papers in Geometry and Topology. Recurrent topics in Robert Osburn's work include Advanced Mathematical Identities (24 papers), Analytic Number Theory Research (19 papers) and Advanced Combinatorial Mathematics (17 papers). Robert Osburn is often cited by papers focused on Advanced Mathematical Identities (24 papers), Analytic Number Theory Research (19 papers) and Advanced Combinatorial Mathematics (17 papers). Robert Osburn collaborates with scholars based in Ireland, France and United States. Robert Osburn's co-authors include Jeremy Lovejoy, Wadim Zudilin, Armin Straub, Song Heng Chan, Renrong Mao, Jeremy Lovejoy, Pieter Moree, Carsten Schneider, Hans U. Boden and Heng Huat Chan and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Advances in Mathematics and Proceedings of the American Mathematical Society.

In The Last Decade

Robert Osburn

28 papers receiving 289 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Robert Osburn Ireland	9	270	166	68	58	54	32	302
Jeremy Lovejoy France	12	337 1.2×	245 1.5×	69 1.0×	43 0.7×	58 1.1×	27	358
Ernest X. W. Xia China	11	478 1.8×	322 1.9×	77 1.1×	41 0.7×	55 1.0×	77	487
Şaban Alaca Canada	11	302 1.1×	109 0.7×	50 0.7×	98 1.7×	105 1.9×	34	351
Timothy S. Trudgian Australia	9	198 0.7×	65 0.4×	48 0.7×	82 1.4×	48 0.9×	25	204
Régis de la Bretèche France	11	212 0.8×	70 0.4×	71 1.0×	188 3.2×	98 1.8×	54	280
Ayşe Alaca Canada	9	221 0.8×	92 0.6×	32 0.5×	48 0.8×	70 1.3×	34	242
C. Y. Yıldırım Türkiye	8	195 0.7×	110 0.7×	22 0.3×	110 1.9×	28 0.5×	22	214
Stephan Baier Germany	7	129 0.5×	61 0.4×	13 0.2×	68 1.2×	56 1.0×	44	149
Angel Kumchev United States	10	272 1.0×	127 0.8×	21 0.3×	160 2.8×	67 1.2×	34	290
Ravi Ramakrishna United States	7	110 0.4×	42 0.3×	38 0.6×	170 2.9×	148 2.7×	21	242

Countries citing papers authored by Robert Osburn

Since Specialization

Citations

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

Fields of papers citing papers by Robert Osburn

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Robert Osburn

This figure shows the co-authorship network connecting the top 25 collaborators of Robert Osburn. A scholar is included among the top collaborators of Robert Osburn 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 Osburn. Robert Osburn 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

Boden, Hans U., et al.. (2020). Generalized Fishburn numbers and torus knots. Journal of Combinatorial Theory Series A. 178. 105355–105355. 4 indexed citations

Osburn, Robert, Armin Straub, & Wadim Zudilin. (2018). A modular supercongruence for <span class="mathjax-formula">$_6F_5$</span>: An Apéry-like story. French digital mathematics library (Numdam). 5 indexed citations

Osburn, Robert, et al.. (2018). Sequences, modular forms and cellular integrals. Mathematical Proceedings of the Cambridge Philosophical Society. 168(2). 379–404. 2 indexed citations

Lovejoy, Jeremy & Robert Osburn. (2017). The colored Jones polynomial and Kontsevich-Zagier series for double twist knots. arXiv (Cornell University). 2 indexed citations

Lovejoy, Jeremy & Robert Osburn. (2016). MOCK THETA DOUBLE SUMS. Glasgow Mathematical Journal. 59(2). 323–348. 8 indexed citations

Lovejoy, Jeremy & Robert Osburn. (2015). Real quadratic double sums. Indagationes Mathematicae. 26(4). 697–712. 5 indexed citations

Osburn, Robert & Wadim Zudilin. (2015). On the (K.2) supercongruence of Van Hamme. Journal of Mathematical Analysis and Applications. 433(1). 706–711. 37 indexed citations

Osburn, Robert, et al.. (2015). Rogers–Ramanujan type identities for alternating knots. Journal of Number Theory. 161. 255–280. 7 indexed citations

Osburn, Robert, et al.. (2015). Supercongruences for sporadic sequences. Proceedings of the Edinburgh Mathematical Society. 59(2). 503–518. 13 indexed citations

10.

Lovejoy, Jeremy & Robert Osburn. (2013). The Bailey chain and mock theta functions. Advances in Mathematics. 238. 442–458. 16 indexed citations

11.

Lovejoy, Jeremy & Robert Osburn. (2010). M₂-rank differences for overpartitions. Acta Arithmetica. 144(2). 193–212. 11 indexed citations

12.

Osburn, Robert, et al.. (2010). Congruences via modular forms. Proceedings of the American Mathematical Society. 139(7). 2375–2381. 3 indexed citations

13.

Osburn, Robert, et al.. (2009). ARITHMETIC PROPERTIES FOR AP ´ ERY-LIKE NUMBERS. arXiv (Cornell University).

14.

Lovejoy, Jeremy, et al.. (2009). Rank and crank moments for overpartitions. Journal of Number Theory. 129(7). 1758–1772. 32 indexed citations

15.

Lovejoy, Jeremy & Robert Osburn. (2009). M 2 -rank differences for partitions without repeated odd parts. Journal de Théorie des Nombres de Bordeaux. 21(2). 313–334. 24 indexed citations

16.

Osburn, Robert, et al.. (2008). A p-adic analogue of a formula of Ramanujan. Archiv der Mathematik. 91(6). 492–504. 50 indexed citations

17.

Osburn, Robert, et al.. (2007). RANK DIFFERENCES FOR OVERPARTITIONS. The Quarterly Journal of Mathematics. 59(2). 257–273. 27 indexed citations

18.

Murty, M. Ram & Robert Osburn. (2007). Representations of integers by certain positive definite binary quadratic forms. The Ramanujan Journal. 14(3). 351–359.

19.

Osburn, Robert & Carsten Schneider. (2006). Gaussian hypergeometric series and extensions of supercongruences. arXiv (Cornell University). 4 indexed citations

20.

Osburn, Robert. (2005). A remark on a conjecture of Borwein and Choi. Proceedings of the American Mathematical Society. 133(10). 2903–2909. 1 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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