Daniel Shanks
Impact in
- Algebra and Number Theory top 1%
- Analytic Number Theory Research
- Advanced Mathematical Identities
- Theoretical Computer Science top 0.5%
- History and Theory of Mathematics
Papers in
-
- Analytic Number Theory Research 44
- Advanced Mathematical Identities 25
-
- Algebraic Geometry and Number Theory 19
- Mathematics and Applications 19
- Co-authors
- Richard Bellman (1 shared paper)William W. Adams (1 shared paper)P. Weinberger (1 shared paper)W. J. LeVeque (1 shared paper)Hywel C Williams (5 shared papers)Emma Lehmer (2 shared papers)Henry B. Mann (1 shared paper)D. H. Lehmer (1 shared paper)
- Journals
- Mathematics of Computation (79 papers)SIAM Review (2 papers)Journal of Number Theory (2 papers)Proceedings of the American Mathematical Society (2 papers)Acta Arithmetica (2 papers)
- Partner nations
- United StatesGermanyCanada
In The Last Decade
Daniel Shanks
90 papers receiving 1.5k citations
Daniel Shanks's Hit Papers
Peers
Comparison fields: 5 of 105
- Algebra and Number Theory 726
- Theoretical Computer Science 167
- Discrete Mathematics and Combinatorics 263
- Geometry and Topology 632
- Numerical Analysis 215
Countries citing papers authored by Daniel Shanks
This map shows the geographic impact of Daniel Shanks'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 Daniel Shanks with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Daniel Shanks more than expected).
Fields of papers citing papers by Daniel Shanks
This network shows the impact of papers produced by Daniel Shanks. 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 Daniel Shanks. The network helps show where Daniel Shanks may publish in the future.
Co-authors
The 16 scholars most cited alongside Daniel Shanks, 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 105 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Non‐linear Transformations of Divergent and Slowly Convergent Sequences Hit paper breakdown → | 1955 | 861 |
| 2 | 1963 | 128 | |
| 3 | 1974 | 102 | |
| 4 | 1967 | 47 | |
| 5 | 1982 | 40 | |
| 6 | 1972 | 35 | |
| 7 | 1962 | 35 | |
| 8 | 1964 | 34 | |
| 9 | 1958 | 34 | |
| 10 | 1970 | 33 | |
| 11 | 1951 | 32 | |
| 12 | 1959 | 32 | |
| 13 | 1964 | 31 | |
| 14 | 1974 | 30 | |
| 15 | 1964 | 27 | |
| 16 | 1959 | 26 | |
| 17 | 1960 | 26 | |
| 18 | 1972 | 23 | |
| 19 | 1972 | 22 | |
| 20 | 1982 | 21 |
About Daniel Shanks
Daniel Shanks is a scholar working on Algebra and Number Theory, Geometry and Topology, Theoretical Computer Science, Mathematical Physics and Computational Theory and Mathematics, having authored 105 papers that have together received 2.2k indexed citations. Recurring topics across this work include Analytic Number Theory Research (44 papers), Advanced Mathematical Identities (25 papers), History and Theory of Mathematics (21 papers), Algebraic Geometry and Number Theory (19 papers), Mathematics and Applications (19 papers), Advanced Algebra and Geometry (8 papers), Coding theory and cryptography (6 papers) and Mathematical functions and polynomials (6 papers). The work is most often cited by research in Algebra and Number Theory (726 citations), Theoretical Computer Science (167 citations), Discrete Mathematics and Combinatorics (263 citations), Geometry and Topology (632 citations) and Numerical Analysis (215 citations). Daniel Shanks has collaborated with scholars based in United States, Germany and Canada. Frequent co-authors include Richard Bellman, William W. Adams, P. Weinberger, W. J. LeVeque, Hywel C Williams, Emma Lehmer, Henry B. Mann, D. H. Lehmer, J. W. Wrench and Mohan Lal. Their work appears in journals such as Mathematics of Computation, SIAM Review, Journal of Number Theory, Proceedings of the American Mathematical Society 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.