Hugh C. Williams

1.0k total citations
46 papers, 481 citations indexed

About

Hugh C. Williams is a scholar working on Artificial Intelligence, Algebra and Number Theory and Geometry and Topology. According to data from OpenAlex, Hugh C. Williams has authored 46 papers receiving a total of 481 indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Artificial Intelligence, 13 papers in Algebra and Number Theory and 12 papers in Geometry and Topology. Recurrent topics in Hugh C. Williams's work include Coding theory and cryptography (20 papers), Analytic Number Theory Research (10 papers) and Cryptography and Residue Arithmetic (10 papers). Hugh C. Williams is often cited by papers focused on Coding theory and cryptography (20 papers), Analytic Number Theory Research (10 papers) and Cryptography and Residue Arithmetic (10 papers). Hugh C. Williams collaborates with scholars based in Canada, United States and Germany. Hugh C. Williams's co-authors include Renate Scheidler, Johannes Buchmann, Michael J. Jacobson, Andreas Stein, Attila Pethő, Lawrence C. Washington, Michael J. Jacobson, John Loxton, R. G. Stanton and Andrew Granville and has published in prestigious journals such as Mathematics of Computation, Pediatric Research and Pacific Journal of Mathematics.

In The Last Decade

Hugh C. Williams

43 papers receiving 353 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Hugh C. Williams Canada	14	244	175	132	125	101	46	481
Anatolij A. Karatsuba Russia	5	375 1.5×	94 0.5×	177 1.3×	312 2.5×	155 1.5×	17	685
Gerhard Frey Germany	12	376 1.5×	300 1.7×	105 0.8×	329 2.6×	91 0.9×	45	678
Hans Riesel Sweden	9	146 0.6×	131 0.7×	205 1.6×	83 0.7×	105 1.0×	40	447
R. A. Mollin Canada	14	263 1.1×	436 2.5×	324 2.5×	76 0.6×	115 1.1×	110	861
François Morain France	10	305 1.3×	173 1.0×	68 0.5×	333 2.7×	131 1.3×	22	459
Edwin Weiss United States	7	159 0.7×	239 1.4×	159 1.2×	91 0.7×	126 1.2×	14	588
Hans Delfs Germany	11	138 0.6×	163 0.9×	122 0.9×	79 0.6×	83 0.8×	16	460
Alan G. B. Lauder United Kingdom	11	145 0.6×	129 0.7×	56 0.4×	72 0.6×	132 1.3×	24	278
Arne Winterhof Austria	15	717 2.9×	75 0.4×	142 1.1×	171 1.4×	289 2.9×	112	863
H.E. Jensen Denmark	12	337 1.4×	45 0.3×	49 0.4×	44 0.4×	122 1.2×	20	454

Countries citing papers authored by Hugh C. Williams

Since Specialization

Citations

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

Fields of papers citing papers by Hugh C. Williams

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Hugh C. Williams

This figure shows the co-authorship network connecting the top 25 collaborators of Hugh C. Williams. A scholar is included among the top collaborators of Hugh C. 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 Hugh C. Williams. Hugh C. 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, Hugh C., et al.. (2025). The Enchantment of Numbers. 1 indexed citations

Williams, Hugh C., et al.. (2023). The Lucas Sequences. 1 indexed citations

Williams, Hugh C., et al.. (2018). Cubic Fields with Geometry. CERN Document Server (European Organization for Nuclear Research). 3 indexed citations

Williams, Hugh C.. (2006). Chaos and fractals, new frontiers of science. The Mathematical Gazette. 90(519). 562–562. 1 indexed citations

Williams, Hugh C., et al.. (2005). Some results concerning certain periodic continued fractions. Acta Arithmetica. 117(3). 247–264. 2 indexed citations

Bajard, Jean-Claude, Laurent Imbert, G.A. Jullien, & Hugh C. Williams. (2005). A CRT-Based Montgomery Multiplication for Finite Fields of Small Characteristic. SPIRE - Sciences Po Institutional REpository.

Jacobson, Michael J., Renate Scheidler, & Hugh C. Williams. (2005). An Improved Real-Quadratic-Field-Based Key Exchange Procedure. Journal of Cryptology. 19(2). 211–239. 6 indexed citations

Williams, Hugh C.. (2002). Geometric methods and applications for computer science and engineering. The Mathematical Gazette. 86(507). 564–565. 1 indexed citations

Sellers, James A. & Hugh C. Williams. (2002). On the Infinitude of Composite NSW Numbers. The Fibonacci quarterly. 40(3). 253–254. 1 indexed citations

10.

Stein, Andreas & Hugh C. Williams. (1999). Some Methods for Evaluating the Regulator of a Real Quadratic Function Field. Experimental Mathematics. 8(2). 119–133. 18 indexed citations

11.

Jacobson, Michael J., et al.. (1995). An Investigation of Bounds for the Regulator of Quadratic Fields. Experimental Mathematics. 4(3). 211–225. 11 indexed citations

12.

Scheidler, Renate & Hugh C. Williams. (1992). A Method of Tabulating the Number-Theoretic Function g(k). Mathematics of Computation. 59(199). 251–251. 2 indexed citations

13.

Granville, Andrew, et al.. (1992). Computation of the first factor of the class number of cyclotomic fields. Journal of Number Theory. 42(3). 297–312. 8 indexed citations

14.

Scheidler, Renate & Hugh C. Williams. (1992). A method of tabulating the number-theoretic function 𝑔(𝑘). Mathematics of Computation. 59(199). 251–257. 2 indexed citations

15.

Scheidler, Renate, Johannes Buchmann, & Hugh C. Williams. (1991). Implementation of a key exchange protocol using real quadratic fields (extended abstract). 98–109. 1 indexed citations

16.

Buchmann, Johannes & Hugh C. Williams. (1989). A Key Exchange System Based on Real Quadratic Fields. 335–343. 15 indexed citations

17.

Williams, Hugh C.. (1986). Lecture notes in computer sciences; 218 on Advances in cryptology---CRYPTO 85. 2 indexed citations

18.

Williams, Hugh C.. (1978). Some properties of a special set of recurring sequences. Pacific Journal of Mathematics. 77(1). 273–285. 24 indexed citations

19.

Stanton, R. G., et al.. (1976). An upper bound for the period of the simple continued fraction for √D. Pacific Journal of Mathematics. 67(2). 525–536. 13 indexed citations

20.

Williams, Hugh C., et al.. (1974). Two Related Quadratic Surds Having Continued Fractions with Exceptionally Long Periods. Mathematics of Computation. 28(125). 333–333. 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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