William D. Banks
- Algebra and Number Theory top 2%
- Discrete Mathematics and Combinatorics top 2%
- Geometry and Topology top 5%
- Mathematical Physics top 5%
- Artificial Intelligence top 10%
- Co-authors
- Igor E. ShparlinskiFlorian LucaJohn FriedlanderJason LevyMoubariz Z. GaraevRoger C. BakerDerrick HartD. R. Heath‐Brown
- Topics
- Analytic Number Theory Research (78 papers)Advanced Mathematical Identities (31 papers)Coding theory and cryptography (25 papers)
- Cited by
- Algebra and Number TheoryDiscrete Mathematics and CombinatoricsTheoretical Computer Science
- Journals
- Mathematics of ComputationJournal of Mathematical Analysis and ApplicationsTransactions of the American Mathematical Society
- Partner nations
- United StatesAustraliaMexico
In The Last Decade
William D. Banks
79 papers receiving 469 citations
Peers
Comparison fields: 5 of 17
- Algebra and Number Theory 413
- Discrete Mathematics and Combinatorics 196
- Geometry and Topology 195
- Mathematical Physics 181
- Artificial Intelligence 147
Countries citing papers authored by William D. Banks
This map shows the geographic impact of William D. Banks'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 William D. Banks with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites William D. Banks more than expected).
Fields of papers citing papers by William D. Banks
This network shows the impact of papers produced by William D. Banks. 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 William D. Banks. The network helps show where William D. Banks may publish in the future.
Co-authorship network of co-authors of William D. Banks
This figure shows the co-authorship network connecting the top 25 collaborators of William D. Banks. A scholar is included among the top collaborators of William D. Banks 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 William D. Banks. William D. Banks is excluded from the visualization to improve readability, since they are connected to all nodes in the network.
All Works
| # | Work | Indexed citations |
|---|---|---|
| 1 | 0 | |
| 2 | 1 | |
| 3 | 4 | |
| 4 | 1 | |
| 5 | 0 | |
| 6 | Density of non-residues in Burgess-type intervals and applications | 10 |
| 7 | 0 | |
| 8 | Exponential sums with polynomial values of the discrete logarithm | 1 |
| 9 | Sums of prime divisors and Mersenne numbers | 2 |
| 10 | 9 | |
| 11 | 3 | |
| 12 | 0 | |
| 13 | 15 | |
| 14 | On the Value Set of n! Modulo a Prime | 4 |
| 15 | 16 | |
| 16 | 7 | |
| 17 | 23 | |
| 18 | 5 | |
| 19 | 2 | |
| 20 | 2 |
About William D. Banks
William D. Banks is a scholar working on Algebra and Number Theory, Discrete Mathematics and Combinatorics and Theoretical Computer Science, having authored 90 papers that have together received 531 indexed citations. Recurring topics across this work include Analytic Number Theory Research (78 papers), Advanced Mathematical Identities (31 papers) and Coding theory and cryptography (25 papers). The work is most often cited by research in Algebra and Number Theory (413 citations), Discrete Mathematics and Combinatorics (196 citations) and Theoretical Computer Science (26 citations). William D. Banks has collaborated with scholars based in United States, Australia and Mexico. Frequent co-authors include Igor E. Shparlinski, Florian Luca, John Friedlander, Jason Levy, Moubariz Z. Garaev, Roger C. Baker, Derrick Hart, D. R. Heath‐Brown, Carl Pomerance and Francesco Pappalardi. 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.