Robert Osburn
Impact in
- Algebra and Number Theory top 2%
- Advanced Mathematical Identities
- Analytic Number Theory Research
-
- Advanced Combinatorial Mathematics
Papers in
-
- Advanced Mathematical Identities 31
- Analytic Number Theory Research 25
-
- Advanced Combinatorial Mathematics 20
- Co-authors
- Jeremy Lovejoy (11 shared papers)Wadim Valentinovich Zudilin (2 shared papers)Carsten Schneider (1 shared paper)Armin Straub (5 shared papers)Song Heng Chan (3 shared papers)Renrong Mao (2 shared papers)Jeremy Lovejoy (2 shared papers)George E. Andrews (1 shared paper)
- Journals
- Journal of Number Theory (3 papers)Proceedings of the American Mathematical Society (2 papers)Journal of Combinatorial Theory Series A (2 papers)Journal of Mathematical Analysis and Applications (2 papers)Acta Arithmetica (2 papers)
- Partner nations
- IrelandFranceUnited States
In The Last Decade
Robert Osburn
38 papers receiving 430 citations
Peers
Comparison fields: 5 of 26
- Algebra and Number Theory 405
- Discrete Mathematics and Combinatorics 241
- Geometry and Topology 86
- Applied Mathematics 95
- Mathematical Physics 82
Countries citing papers authored by Robert Osburn
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
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-authors
The 17 scholars most cited alongside Robert Osburn, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 44 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | 2008 | 55 | |
| 2 | 2015 | 41 | |
| 3 | Gaussian hypergeometric series and supercongruences | 2008 | 40 |
| 4 | 2009 | 38 | |
| 5 | 2007 | 29 | |
| 6 | QUADRATIC FORMS AND FOUR PARTITION FUNCTIONS MODULO 3 | 2010 | 27 |
| 7 | 2009 | 26 | |
| 8 | 2020 | 20 | |
| 9 | 2013 | 18 | |
| 10 | 2015 | 16 | |
| 11 | 2010 | 13 | |
| 12 | 2016 | 8 | |
| 13 | 2013 | 8 | |
| 14 | A modular supercongruence for $_6F_5$: An Apéry-like story | 2018 | 7 |
| 15 | 2010 | 7 | |
| 16 | 2015 | 7 | |
| 17 | Rank and crank moments for overpartitions | 2009 | 7 |
| 18 | THE FIRST POSITIVE RANK AND CRANK MOMENTS FOR OVERPARTITIONS | 2013 | 7 |
| 19 | 2007 | 6 | |
| 20 | 2002 | 6 |
About Robert Osburn
Robert Osburn is a scholar working on Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics and Applied Mathematics, having authored 44 papers that have together received 446 indexed citations. Recurring topics across this work include Advanced Mathematical Identities (31 papers), Analytic Number Theory Research (25 papers), Advanced Combinatorial Mathematics (20 papers), Algebraic Geometry and Number Theory (9 papers), Algebraic structures and combinatorial models (7 papers), Advanced Algebra and Geometry (6 papers), Mathematical Dynamics and Fractals (3 papers) and Geometric and Algebraic Topology (3 papers). The work is most often cited by research in Algebra and Number Theory (405 citations), Discrete Mathematics and Combinatorics (241 citations), Geometry and Topology (86 citations), Applied Mathematics (95 citations) and Mathematical Physics (82 citations). Robert Osburn has collaborated with scholars based in Ireland, France and United States. Frequent co-authors include Jeremy Lovejoy, Wadim Valentinovich Zudilin, Carsten Schneider, Armin Straub, Song Heng Chan, Renrong Mao, Jeremy Lovejoy, George E. Andrews, Byungchan Kim and Brian James Murray. Their work appears in journals such as Journal of Number Theory, Proceedings of the American Mathematical Society, Journal of Combinatorial Theory Series A, Journal of Mathematical Analysis and Applications and Acta Arithmetica.
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.