Kenneth S. Williams

3.8k total citations
304 papers, 2.3k citations indexed

About

Kenneth S. Williams is a scholar working on Algebra and Number Theory, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Kenneth S. Williams has authored 304 papers receiving a total of 2.3k indexed citations (citations by other indexed papers that have themselves been cited), including 184 papers in Algebra and Number Theory, 130 papers in Geometry and Topology and 53 papers in Mathematical Physics. Recurrent topics in Kenneth S. Williams's work include Analytic Number Theory Research (145 papers), Advanced Mathematical Identities (96 papers) and Algebraic Geometry and Number Theory (68 papers). Kenneth S. Williams is often cited by papers focused on Analytic Number Theory Research (145 papers), Advanced Mathematical Identities (96 papers) and Algebraic Geometry and Number Theory (68 papers). Kenneth S. Williams collaborates with scholars based in Canada, United States and United Kingdom. Kenneth S. Williams's co-authors include Şaban Alaca, Bruce C. Berndt, Ronald J. Evans, Ayşe Alaca, Blair K. Spearman, Philip Leonard, Richard H. Hudson, Charles F. Dunkl, Duncan A. Buell and David Jacobson and has published in prestigious journals such as Journal of Agricultural and Food Chemistry, Annals of the New York Academy of Sciences and Mathematics of Computation.

In The Last Decade

Kenneth S. Williams

263 papers receiving 1.9k citations

Peers

Kenneth S. Williams

ANT

DMC

Carl Pomerance United States

Kenneth Ireland Canada

Hugh L. Montgomery United States

Lawrence C. Washington United States

Andrew Granville Canada

Emil Artin United States

Basil Gordon United States

Lowell Schoenfeld United States

Wolfgang M. Schmidt United States

William C. Waterhouse United States

Carl Pomerance United States

Kenneth S. Williams

1.4k ×1.0

ANT

731 ×0.8

591 ×1.1

DMC

457 ×0.9

766 ×1.6

Citations per year, relative to Kenneth S. Williams Kenneth S. Williams (= 1×) peers Carl Pomerance

Countries citing papers authored by Kenneth S. Williams

Since Specialization

Citations

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

Fields of papers citing papers by Kenneth S. Williams

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Kenneth S. Williams. 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 Kenneth S. Williams. The network helps show where Kenneth S. Williams may publish in the future.

Co-authorship network of co-authors of Kenneth S. Williams

This figure shows the co-authorship network connecting the top 25 collaborators of Kenneth S. Williams. A scholar is included among the top collaborators of Kenneth S. Williams 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 Kenneth S. Williams. Kenneth S. Williams 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

Williams, Kenneth S.. (2023). Beyond the Basel Problem, Part I. Mathematics Magazine. 96(2). 163–173. 1 indexed citations

Williams, Kenneth S.. (2023). Beyond the Basel Problem: Part II. Mathematics Magazine. 96(3). 225–233.

Alaca, Ayşe, Şaban Alaca, & Kenneth S. Williams. (2020). Representation numbers of seven quaternary quadratic forms each in a genus consisting of only two classes. TURKISH JOURNAL OF MATHEMATICS. 44(6). 1955–1981.

Williams, Kenneth S.. (2015). A “Four Integers” Theorem and a “Five Integers” Theorem. American Mathematical Monthly. 122(6). 528–536. 2 indexed citations

Spearman, Blair K., et al.. (2003). The 2-Power Degree Subfields of the Splitting Fields of Polynomials with Frobenius Galois Groups. Communications in Algebra. 31(10). 4745–4763. 1 indexed citations

Williams, Kenneth S., et al.. (1993). Special Values of the Lerch Zeta Function and the Evaluation of Certain Integrals. Proceedings of the American Mathematical Society. 119(1). 35–35. 3 indexed citations

Williams, Kenneth S., et al.. (1993). Special values of the Lerch zeta function and the evaluation of certain integrals. Proceedings of the American Mathematical Society. 119(1). 35–49. 13 indexed citations

Buck, Nicholas, Lones Smith, Blair K. Spearman, & Kenneth S. Williams. (1987). The Cyclotomic Numbers of Order Fifteen. Mathematics of Computation. 48(177). 67–67. 1 indexed citations

Smith, Lones, et al.. (1987). The cyclotomic numbers of order fifteen. Mathematics of Computation. 48(177). 67–83. 2 indexed citations

10.

Hudson, Richard H. & Kenneth S. Williams. (1984). Binomial coefficients and Jacobi sums. Transactions of the American Mathematical Society. 281(2). 431–505. 10 indexed citations

11.

Williams, Kenneth S., et al.. (1984). On the strict class number of Q(2p - - √) modulo 16, p≡1 (mod8) prime. Osaka Journal of Mathematics. 21(1). 23–29. 1 indexed citations

12.

Williams, Kenneth S. & James D. Currie. (1982). Class Numbers and Biquadratic Reciprocity. Canadian Journal of Mathematics. 34(4). 969–988. 8 indexed citations

13.

Hudson, Richard H. & Kenneth S. Williams. (1982). Class number formulae of Dirichlet type. Mathematics of Computation. 39(160). 725–732. 2 indexed citations

14.

Hudson, Richard H. & Kenneth S. Williams. (1982). Cauchy-Type Congruences for Binomial Coefficients. Proceedings of the American Mathematical Society. 85(2). 169–169. 1 indexed citations

15.

Williams, Kenneth S., et al.. (1980). An Artin Character and Represenattions of Primes by Binary Quadratic Forms.. manuscripta mathematica. 33. 339–356. 2 indexed citations

16.

Buell, Duncan A. & Kenneth S. Williams. (1979). An Octic Reciprocity Law of Scholz Type. Proceedings of the American Mathematical Society. 77(3). 315–315. 1 indexed citations

17.

Buell, Duncan A. & Kenneth S. Williams. (1979). An octic reciprocity law of Scholz type. Proceedings of the American Mathematical Society. 77(3). 315–318. 4 indexed citations

18.

Williams, Kenneth S.. (1971). Note on the Kloosterman Sum. Proceedings of the American Mathematical Society. 30(1). 61–61. 1 indexed citations

19.

Williams, Kenneth S.. (1964). A Note on the Quadratic Form ax ² + 2 bxy + cy ². The Mathematical Gazette. 48(365). 290–291. 1 indexed citations

20.

Williams, Kenneth S.. (1962). 3029. A generalisation of Cardan's solution of the cubic. The Mathematical Gazette. 46(357). 221–223. 3 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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