Frank Garvan
- Algebra and Number Theory top 0.5%
- Discrete Mathematics and Combinatorics top 0.2%
- Applied Mathematics top 2%
- Mathematical Physics top 5%
- Geometry and Topology top 5%
- Co-authors
- George E. AndrewsDennis StantonJonathan M. BorweinBruce C. BerndtDongsu KimAlexander BérkovichSaurabh BhargavaPeter Borwein
- Topics
- Advanced Mathematical Identities (48 papers)Analytic Number Theory Research (39 papers)Advanced Combinatorial Mathematics (38 papers)
- Cited by
- Discrete Mathematics and CombinatoricsAlgebra and Number TheoryTheoretical Computer Science
- Journals
- Mathematics of ComputationJournal of Mathematical Analysis and ApplicationsTransactions of the American Mathematical Society
- Partner nations
- United StatesCanadaAustralia
In The Last Decade
Frank Garvan
53 papers receiving 1.5k citations
Peers
Comparison fields: 5 of 60
- Algebra and Number Theory 1.4k
- Discrete Mathematics and Combinatorics 1.1k
- Applied Mathematics 242
- Mathematical Physics 200
- Geometry and Topology 181
Countries citing papers authored by Frank Garvan
This map shows the geographic impact of Frank Garvan'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 Frank Garvan with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Frank Garvan more than expected).
Fields of papers citing papers by Frank Garvan
This network shows the impact of papers produced by Frank Garvan. 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 Frank Garvan. The network helps show where Frank Garvan may publish in the future.
Co-authorship network of co-authors of Frank Garvan
This figure shows the co-authorship network connecting the top 25 collaborators of Frank Garvan. A scholar is included among the top collaborators of Frank Garvan 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 Frank Garvan. Frank Garvan is excluded from the visualization to improve readability, since they are connected to all nodes in the network.
All Works
| # | Work | Indexed citations |
|---|---|---|
| 1 | 2 | |
| 2 | 7 | |
| 3 | 7 | |
| 4 | 21 | |
| 5 | 38 | |
| 6 | 25 | |
| 7 | 3 | |
| 8 | 7 | |
| 9 | 17 | |
| 10 | 61 | |
| 11 | 5 | |
| 12 | 2 | |
| 13 | 63 | |
| 14 | 124 | |
| 15 | 19 | |
| 16 | 73 | |
| 17 | 11 | |
| 18 | 21 | |
| 19 | 45 | |
| 20 | 125 |
About Frank Garvan
Frank Garvan is a scholar working on Discrete Mathematics and Combinatorics, Algebra and Number Theory and Mathematical Physics, having authored 54 papers that have together received 1.6k indexed citations. Recurring topics across this work include Advanced Mathematical Identities (48 papers), Analytic Number Theory Research (39 papers) and Advanced Combinatorial Mathematics (38 papers). The work is most often cited by research in Discrete Mathematics and Combinatorics (1.1k citations), Algebra and Number Theory (1.4k citations) and Theoretical Computer Science (27 citations). Frank Garvan has collaborated with scholars based in United States, Canada and Australia. Frequent co-authors include George E. Andrews, Dennis Stanton, Jonathan M. Borwein, Bruce C. Berndt, Dongsu Kim, Alexander Bérkovich, Saurabh Bhargava, Peter Borwein, Michael D. Hirschhorn and Mourad E. H. Ismail. Their work appears in journals such as Mathematics of Computation, Journal of Mathematical Analysis and Applications and Transactions of the American Mathematical Society.
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.