Peter J.-S. Shiue

879 total citations
53 papers, 519 citations indexed

About

Peter J.-S. Shiue is a scholar working on Algebra and Number Theory, Discrete Mathematics and Combinatorics and Statistical and Nonlinear Physics. According to data from OpenAlex, Peter J.-S. Shiue has authored 53 papers receiving a total of 519 indexed citations (citations by other indexed papers that have themselves been cited), including 28 papers in Algebra and Number Theory, 18 papers in Discrete Mathematics and Combinatorics and 16 papers in Statistical and Nonlinear Physics. Recurrent topics in Peter J.-S. Shiue's work include Advanced Mathematical Identities (24 papers), Advanced Mathematical Theories and Applications (16 papers) and Advanced Combinatorial Mathematics (16 papers). Peter J.-S. Shiue is often cited by papers focused on Advanced Mathematical Identities (24 papers), Advanced Mathematical Theories and Applications (16 papers) and Advanced Combinatorial Mathematics (16 papers). Peter J.-S. Shiue collaborates with scholars based in United States, China and Taiwan. Peter J.-S. Shiue's co-authors include L. C. Hsu, Harald Niederreiter, Tian-Xiao He, Gary L. Mullen, David J. Crisp, William Moran, Andrew Pollington, Zhongkai Li, Tom C. Brown and Jun Wang and has published in prestigious journals such as SHILAP Revista de lepidopterología, IEEE Access and Computers & Mathematics with Applications.

In The Last Decade

Peter J.-S. Shiue

43 papers receiving 471 citations

Peers

Peter J.-S. Shiue

ANT

DMC

CTM

Gi‐Sang Cheon South Korea

Petter Brändén Sweden

Arnold Knopfmacher South Africa

Peter Paule Austria

Karl Dilcher Canada

Arthur T. Benjamin United States

William Y. C. Chen China

G. Harman United Kingdom

Yiu‐Tung Poon United States

J.W. Nienhuys Netherlands

Gi‐Sang Cheon South Korea

Peter J.-S. Shiue

353 ×1.5

ANT

429 ×2.0

DMC

159 ×1.4

CTM

50 ×0.5

159 ×1.5

Citations per year, relative to Peter J.-S. Shiue Peter J.-S. Shiue (= 1×) peers Gi‐Sang Cheon

Countries citing papers authored by Peter J.-S. Shiue

Since Specialization

Citations

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

Fields of papers citing papers by Peter J.-S. Shiue

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Peter J.-S. Shiue. 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 J.-S. Shiue. The network helps show where Peter J.-S. Shiue may publish in the future.

Co-authorship network of co-authors of Peter J.-S. Shiue

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

He, Tian-Xiao & Peter J.-S. Shiue. (2024). Divisibility of the sums of the power of consecutive integers. SHILAP Revista de lepidopterología. 30(3). 557–574.

He, Tian-Xiao, et al.. (2023). Representations of positive integers as sums of arithmetic progressions, II. SHILAP Revista de lepidopterología. 29(2). 260–275.

Shannon, A. G., et al.. (2023). Notes on generalized and extended Leonardo numbers. SHILAP Revista de lepidopterología. 29(4). 752–773. 1 indexed citations

Shiue, Peter J.-S., et al.. (2023). Revisiting the general cubic: a simplification of Cardano’s solution. The Mathematical Gazette. 107(570). 438–444.

Shiue, Peter J.-S., et al.. (2020). On the Applications of the Girard-Waring Identities. 28(4). 698.

Shiue, Peter J.-S., et al.. (2020). On algorithms for computing the sums of powers of arithmetic progressions. Notes on Number Theory and Discrete Mathematics. 26(4). 113–121.

He, Tian-Xiao, et al.. (2018). On the Primality of the Generalized Fuss-Catalan Numbers. Journal of integer sequences. 21. 1. 1 indexed citations

He, Tian-Xiao, et al.. (2015). The Pascal Matrix Function and Its Applications to Bernoulli Numbers and Bernoulli Polynomials and Euler Numbers and Euler Polynomials. Science China Mathematics. 45(9). 1563–1572. 1 indexed citations

Shiue, Peter J.-S., et al.. (2008). A note on circulant transition matrices in Markov chains. Linear Algebra and its Applications. 429(7). 1699–1704. 5 indexed citations

10.

He, Tian-Xiao, L. C. Hsu, & Peter J.-S. Shiue. (2007). Symbolization of generating functions; an application of the Mullin–Rota theory of binomial enumeration. Computers & Mathematics with Applications. 54(5). 664–678. 5 indexed citations

11.

He, Tian-Xiao, L. C. Hsu, & Peter J.-S. Shiue. (2007). The Sheffer group and the Riordan group. Discrete Applied Mathematics. 155(15). 1895–1909. 51 indexed citations

12.

He, Tian-Xiao, L. C. Hsu, & Peter J.-S. Shiue. (2006). Convergence of the summation formulas constructed by using a symbolic operator approach. Computers & Mathematics with Applications. 51(3-4). 441–450. 3 indexed citations

13.

Bundschuh, Peter, L. C. Hsu, & Peter J.-S. Shiue. (2006). Generalized Möbius Inversion - Theoretical and Computational Aspects. The Fibonacci quarterly. 44(2). 109–116. 2 indexed citations

14.

Hsu, L. C., et al.. (2005). Application of Faà di Bruno's formula in characterization of inverse relations. Journal of Computational and Applied Mathematics. 190(1-2). 151–169. 9 indexed citations

15.

Shiue, Peter J.-S., et al.. (2004). On the number of primitive polynomials over finite fields. Finite Fields and Their Applications. 11(1). 156–163. 2 indexed citations

16.

Brown, Tom C., Allen R. Freedman, & Peter J.-S. Shiue. (2003). Progressions of squares.. Australas. J Comb.. 27. 187–192. 1 indexed citations

17.

He, Tian-Xiao, Peter J.-S. Shiue, & Zhongkai Li. (2003). Analysis, Combinatorics and Computing. Digital Commons at Illinois Wesleyan University (Illinois Wesleyan University). 12 indexed citations

18.

Hsu, L. C. & Peter J.-S. Shiue. (1999). On certain summation problems and generalizations of Eulerian polynomials and numbers. Discrete Mathematics. 204(1-3). 237–247. 19 indexed citations

19.

Hsu, L. C. & Peter J.-S. Shiue. (1998). A Unified Approach to Generalized Stirling Numbers. Advances in Applied Mathematics. 20(3). 366–384. 104 indexed citations

20.

Hsu, L. C. & Peter J.-S. Shiue. (1997). On a Combinatorial Expression Concerning Fermat's Last Theorem. Advances in Applied Mathematics. 18(2). 216–219. 5 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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