Herman te Riele

695 total citations
9 papers, 46 citations indexed

About

Herman te Riele is a scholar working on Algebra and Number Theory, Geometry and Topology and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Herman te Riele has authored 9 papers receiving a total of 46 indexed citations (citations by other indexed papers that have themselves been cited), including 7 papers in Algebra and Number Theory, 3 papers in Geometry and Topology and 2 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Herman te Riele's work include Analytic Number Theory Research (7 papers), Advanced Mathematical Identities (4 papers) and Algebraic Geometry and Number Theory (2 papers). Herman te Riele is often cited by papers focused on Analytic Number Theory Research (7 papers), Advanced Mathematical Identities (4 papers) and Algebraic Geometry and Number Theory (2 papers). Herman te Riele collaborates with scholars based in Netherlands, France and Australia. Herman te Riele's co-authors include Jean‐Marc Deshouillers, Hugh C. Williams, Florian Luca, Yannick Saouter and Graeme L. Cohen and has published in prestigious journals such as Mathematics of Computation, Journal of Computational and Applied Mathematics and Experimental Mathematics.

In The Last Decade

Herman te Riele

7 papers receiving 37 citations

Peers

Herman te Riele
Henry J. Stephen Smith
Frederick L. Hoffman Israel
David Zywina United States
Norbert Schappacher France
Neal H. McCoy United States
T. C. Hurley Ireland
A. I. Shirshov
Anna Seigal United States
Jörg Jahnel Germany
Robert Remak
Henry J. Stephen Smith
Herman te Riele
Citations per year, relative to Herman te Riele Herman te Riele (= 1×) peers Henry J. Stephen Smith

Countries citing papers authored by Herman te Riele

Since Specialization
Citations

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

Fields of papers citing papers by Herman te Riele

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Herman te Riele. 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 Herman te Riele. The network helps show where Herman te Riele may publish in the future.

Co-authorship network of co-authors of Herman te Riele

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

All Works

9 of 9 papers shown
1.
Riele, Herman te. (2013). Grootschalig rekenen in de getaltheorie. Data Archiving and Networked Services (DANS). 1 indexed citations
2.
Saouter, Yannick & Herman te Riele. (2013). Improved results on the Mertens conjecture. Mathematics of Computation. 83(285). 421–433. 4 indexed citations
3.
Luca, Florian & Herman te Riele. (2011). Aliquot Cycles of Repdigits. 12(1). 3 indexed citations
4.
Riele, Herman te, et al.. (2009). Average prime-pair counting formula. Mathematics of Computation. 79(270). 1209–1229. 3 indexed citations
5.
Riele, Herman te, et al.. (2004). Amicable pairs, a survey. Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands. 41(7). 179–196. 1 indexed citations
6.
Riele, Herman te & Hugh C. Williams. (2003). New Computations Concerning the Cohen-Lenstra Heuristics. Experimental Mathematics. 12(1). 99–113. 6 indexed citations
7.
Cohen, Graeme L. & Herman te Riele. (1998). On 𝜙-amicable pairs. Mathematics of Computation. 67(221). 399–411.
8.
Deshouillers, Jean‐Marc, et al.. (1997). A complete Vinogradov 3-primes theorem under the Riemann hypothesis. Data Archiving and Networked Services (DANS). 3(15). 99–104. 18 indexed citations
9.
Riele, Herman te, et al.. (1989). Factoring with the quadratic sieve on large vector computers. Journal of Computational and Applied Mathematics. 27(1-2). 267–278. 10 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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