Peter Paule

1.8k total citations
53 papers, 826 citations indexed

About

Peter Paule is a scholar working on Algebra and Number Theory, Discrete Mathematics and Combinatorics and Computational Theory and Mathematics. According to data from OpenAlex, Peter Paule has authored 53 papers receiving a total of 826 indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Algebra and Number Theory, 23 papers in Discrete Mathematics and Combinatorics and 18 papers in Computational Theory and Mathematics. Recurrent topics in Peter Paule's work include Advanced Mathematical Identities (29 papers), Advanced Combinatorial Mathematics (22 papers) and Analytic Number Theory Research (19 papers). Peter Paule is often cited by papers focused on Advanced Mathematical Identities (29 papers), Advanced Combinatorial Mathematics (22 papers) and Analytic Number Theory Research (19 papers). Peter Paule collaborates with scholars based in Austria, United States and Germany. Peter Paule's co-authors include George E. Andrews, Carsten Schneider, Manuel Kauers, Alexander Bérkovich, Marko Petkovšek, С. А. Абрамов, Ulrich Langer, Arnold Knopfmacher, Russell Lyons and J. Blümlein and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, SIAM Review and Advances in Mathematics.

In The Last Decade

Peter Paule

47 papers receiving 754 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Peter Paule Austria	17	494	371	271	173	160	53	826
William Y. C. Chen China	16	469 0.9×	505 1.4×	223 0.8×	153 0.9×	189 1.2×	99	905
Karl Dilcher Canada	16	634 1.3×	374 1.0×	144 0.5×	281 1.6×	187 1.2×	99	884
Robert A. Sulanke United States	15	181 0.4×	332 0.9×	122 0.5×	307 1.8×	167 1.0×	30	775
Peter J.-S. Shiue United States	11	239 0.5×	219 0.6×	113 0.4×	106 0.6×	64 0.4×	53	519
Manuel Kauers Austria	18	178 0.4×	210 0.6×	460 1.7×	91 0.5×	127 0.8×	79	822
Vladimir V. Sergeichuk Ukraine	16	488 1.0×	128 0.3×	443 1.6×	142 0.8×	417 2.6×	73	778
Askold Khovanskiĭ Canada	15	300 0.6×	213 0.6×	404 1.5×	162 0.9×	754 4.7×	85	1.1k
Victor H. Moll United States	16	390 0.8×	191 0.5×	60 0.2×	286 1.7×	125 0.8×	90	718
Sinai Robins United States	12	202 0.4×	213 0.6×	110 0.4×	66 0.4×	177 1.1×	35	447
Peter Shiu United Kingdom	9	432 0.9×	161 0.4×	128 0.5×	97 0.6×	379 2.4×	46	731

Countries citing papers authored by Peter Paule

Since Specialization

Citations

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

Fields of papers citing papers by Peter Paule

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Peter Paule

This figure shows the co-authorship network connecting the top 25 collaborators of Peter Paule. A scholar is included among the top collaborators of Peter Paule 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 Peter Paule. Peter Paule 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

Paule, Peter & Carsten Schneider. (2024). Creative telescoping for hypergeometric double sums. Journal of Symbolic Computation. 128. 102394–102394.

Paule, Peter, et al.. (2022). New inequalities for p(n) and $$\log p(n)$$. The Ramanujan Journal. 61(4). 1295–1338. 5 indexed citations

Paule, Peter, et al.. (2020). Holonomic relations for modular functions and forms: First guess, then prove. International Journal of Number Theory. 17(3). 713–759.

Paule, Peter. (2013). Mathematics, Computer Science and Logic - A Never Ending Story: The Bruno Buchberger Festschrift. CERN Document Server (European Organization for Nuclear Research). 1 indexed citations

Langer, Ulrich & Peter Paule. (2012). Numerical and symbolic scientific computing : progress and prospects. Digital Access to Libraries (Université catholique de Louvain (UCL), l'Université de Namur (UNamur) and the Université Saint-Louis (USL-B)). 19 indexed citations

Paule, Peter, et al.. (2010). Infinite families of strange partition congruences for broken 2-diamonds. The Ramanujan Journal. 23(1-3). 409–416. 17 indexed citations

Paule, Peter, et al.. (2008). Converging to Gosper's algorithm. Advances in Applied Mathematics. 41(3). 351–364. 9 indexed citations

Hong, Hoon, Deepak Kapur, Peter Paule, & Franz Winkler. (2005). Bruno Buchberger — A life devoted to symbolic computation. Journal of Symbolic Computation. 41(3-4). 255–258. 1 indexed citations

Andrews, George E., Peter Paule, & Carsten Schneider. (2005). Plane partitions VI: Stembridge's TSPP theorem. Advances in Applied Mathematics. 34(4). 709–739. 15 indexed citations

10.

Paule, Peter. (2003). Algorithmic problem solving. 9. 38–40. 1 indexed citations

11.

Andrews, George E., et al.. (2001). MacMahon’s Partition Analysis: The Omega Package. European Journal of Combinatorics. 22(7). 887–904. 56 indexed citations

12.

Andrews, George E., et al.. (2001). MacMahon's Partition Analysis. Advances in Applied Mathematics. 27(2-3). 231–242. 18 indexed citations

13.

Andrews, George E., Arnold Knopfmacher, & Peter Paule. (2000). An Infinite Family of Engel Expansions of Rogers–Ramanujan Type. Advances in Applied Mathematics. 25(1). 2–11. 18 indexed citations

14.

Абрамов, С. А., Peter Paule, & Marko Petkovšek. (1999). q-Hypergeometric solutions of q-difference equations. Discrete Mathematics. 194(1-3). 3–22. 3 indexed citations

15.

Абрамов, С. А., Peter Paule, & Marko Petkovšek. (1998). q-Hypergeometric solutions of q-difference equations. Discrete Mathematics. 180(1-3). 3–22. 34 indexed citations

16.

Paule, Peter. (1995). Greatest Factorial Factorization and Symbolic Summation. Journal of Symbolic Computation. 20(3). 235–268. 65 indexed citations

17.

Paule, Peter, et al.. (1995). A Mathematica Version of Zeilberger's Algorithm for Proving Binomial Coefficient Identities. Journal of Symbolic Computation. 20(5-6). 673–698. 107 indexed citations

18.

Lisoněk, Petr, Peter Paule, & Volker Strehl. (1993). Improvement of the Degree Setting in Gosper's Algorithm. Journal of Symbolic Computation. 16(3). 243–258. 7 indexed citations

19.

Paule, Peter. (1987). The concept of Bailey chains.. 18. 10 indexed citations

20.

Paule, Peter. (1985). On identities of the Rogers-Ramanujan type. Journal of Mathematical Analysis and Applications. 107(1). 255–284. 35 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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