Hans Riesel

905 total citations
40 papers, 447 citations indexed

About

Hans Riesel is a scholar working on Algebra and Number Theory, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Hans Riesel has authored 40 papers receiving a total of 447 indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Algebra and Number Theory, 11 papers in Geometry and Topology and 8 papers in Mathematical Physics. Recurrent topics in Hans Riesel's work include Analytic Number Theory Research (14 papers), Advanced Mathematical Identities (11 papers) and Mathematics and Applications (7 papers). Hans Riesel is often cited by papers focused on Analytic Number Theory Research (14 papers), Advanced Mathematical Identities (11 papers) and Mathematics and Applications (7 papers). Hans Riesel collaborates with scholars based in Sweden. Hans Riesel's co-authors include R. C. Vaughan, Anders Björn, P. Erdös and Carl-Erik Fröberg and has published in prestigious journals such as Mathematics of Computation, BIT Numerical Mathematics and Arkiv för matematik.

In The Last Decade

Hans Riesel

34 papers receiving 315 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Hans Riesel Sweden 9 205 146 131 105 83 40 447
Ivan Matveevich Vinogradov 4 156 0.8× 101 0.7× 63 0.5× 73 0.7× 46 0.6× 5 329
Hugh C. Williams Canada 14 132 0.6× 244 1.7× 175 1.3× 101 1.0× 125 1.5× 46 481
Edwin Weiss United States 7 159 0.8× 159 1.1× 239 1.8× 126 1.2× 91 1.1× 14 588
Trygve Nagell Pakistan 10 199 1.0× 94 0.6× 254 1.9× 68 0.6× 20 0.2× 37 505
R. A. Mollin Canada 14 324 1.6× 263 1.8× 436 3.3× 115 1.1× 76 0.9× 110 861
Tao Zhan China 15 227 1.1× 124 0.8× 104 0.8× 102 1.0× 45 0.5× 56 588
Albert Leon Whiteman United States 12 141 0.7× 203 1.4× 134 1.0× 103 1.0× 11 0.1× 27 530
Emma Lehmer United States 16 288 1.4× 179 1.2× 266 2.0× 104 1.0× 30 0.4× 51 644
Anatolij A. Karatsuba Russia 5 177 0.9× 375 2.6× 94 0.7× 155 1.5× 312 3.8× 17 685
Robert Rumely United States 12 243 1.2× 90 0.6× 380 2.9× 148 1.4× 39 0.5× 28 628

Countries citing papers authored by Hans Riesel

Since Specialization
Citations

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

Fields of papers citing papers by Hans Riesel

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Hans Riesel. 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 Hans Riesel. The network helps show where Hans Riesel may publish in the future.

Co-authorship network of co-authors of Hans Riesel

This figure shows the co-authorship network connecting the top 25 collaborators of Hans Riesel. A scholar is included among the top collaborators of Hans Riesel 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 Hans Riesel. Hans Riesel is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Björn, Anders & Hans Riesel. (1998). Factors of generalized Fermat numbers. Mathematics of Computation. 67(221). 441–446. 6 indexed citations
2.
Riesel, Hans. (1994). Prime numbers and computer methods for factorization (2nd ed.). 21 indexed citations
3.
Riesel, Hans. (1994). Prime Numbers and Computer Methods for Factorization. Birkhäuser Boston eBooks. 62 indexed citations
4.
Erdös, P. & Hans Riesel. (1988). On admissible constellations of consecutive primes. BIT Numerical Mathematics. 28(3). 391–396. 2 indexed citations
5.
Riesel, Hans. (1988). Some soluble cases of the discrete logarithm problem. BIT Numerical Mathematics. 28(4). 839–851. 2 indexed citations
6.
Riesel, Hans. (1987). On the metric theory of nearest integer continued fractions. BIT Numerical Mathematics. 27(2). 248–263. 3 indexed citations
7.
Riesel, Hans. (1985). Prime Numbers and Computer Methods for Factorization. Birkhäuser Boston eBooks. 176 indexed citations
8.
Riesel, Hans & R. C. Vaughan. (1983). On sums of primes. Arkiv för matematik. 21(1-2). 45–74. 20 indexed citations
9.
Riesel, Hans. (1974). A consequence of the von Staudt-Clausen theorem. BIT Numerical Mathematics. 14(1). 120–121. 2 indexed citations
10.
Riesel, Hans. (1973). Some series related to infinite series given by Ramanujan. BIT Numerical Mathematics. 13(1). 97–113. 2 indexed citations
11.
Riesel, Hans, et al.. (1970). Some Calculations Related to Riemann's Prime Number Formula. Mathematics of Computation. 24(112). 969–969. 3 indexed citations
12.
Riesel, Hans, et al.. (1970). Some calculations related to Riemann’s prime number formula. Mathematics of Computation. 24(112). 969–983. 9 indexed citations
13.
Riesel, Hans. (1970). Primes forming arithmetic series and clusters of large primes. BIT Numerical Mathematics. 10(3). 333–342. 4 indexed citations
14.
Riesel, Hans. (1969). Common prime factors of the numbers $$A_n = a^{2^n } + 1$$. BIT Numerical Mathematics. 9(3). 264–269. 4 indexed citations
15.
Riesel, Hans. (1963). A factor of the Fermat number 𝐹₁₉. Mathematics of Computation. 17(84). 458–458. 2 indexed citations
16.
Riesel, Hans. (1963). In which order are different conditions to be examined?. BIT Numerical Mathematics. 3(4). 255–256. 5 indexed citations
17.
Riesel, Hans. (1962). All Factors q < 10 8 in All Mersenne Numbers 2 p - 1, p Prime < 10 4. Mathematics of Computation. 16(80). 478–478. 4 indexed citations
18.
Riesel, Hans. (1962). All factors 𝑞<10⁸ in all Mersenne numbers 2^{𝑝}-1, 𝑝 prime <10⁴. Mathematics of Computation. 16(80). 478–482. 3 indexed citations
19.
Riesel, Hans. (1961). A case of numerical divergence. BIT Numerical Mathematics. 1(2). 130–131.
20.
Riesel, Hans. (1958). Mersenne Numbers. Mathematical Tables and Other Aids to Computation. 12(63). 207–207. 13 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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