Peter Shiu

1.3k total citations · 1 hit paper
46 papers, 731 citations indexed

About

Peter Shiu is a scholar working on Algebra and Number Theory, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, Peter Shiu has authored 46 papers receiving a total of 731 indexed citations (citations by other indexed papers that have themselves been cited), including 18 papers in Algebra and Number Theory, 17 papers in Geometry and Topology and 9 papers in Computational Theory and Mathematics. Recurrent topics in Peter Shiu's work include Analytic Number Theory Research (14 papers), Mathematics and Applications (14 papers) and History and Theory of Mathematics (9 papers). Peter Shiu is often cited by papers focused on Analytic Number Theory Research (14 papers), Mathematics and Applications (14 papers) and History and Theory of Mathematics (9 papers). Peter Shiu collaborates with scholars based in United Kingdom, Russia and Poland. Peter Shiu's co-authors include Władysław Narkiewicz, David Masser, A. S. Fokas, Mark J. Ablowitz, A. Ivić, A. H. Osbaldestin, M.J. Kearney, Hua Loo Keng, Michael Rosen and R. R. Hall and has published in prestigious journals such as Mathematics of Computation, American Mathematical Monthly and Pacific Journal of Mathematics.

In The Last Decade

Peter Shiu

35 papers receiving 606 citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Elementary and Analytic Theory of Algebraic Numbers

1991 443 citations Peter Shiu, Władysław Narkiewicz The Mathematical Gazette profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Peter Shiu United Kingdom	9	432	379	207	161	128	46	731
G. Harman United Kingdom	10	439 1.0×	294 0.8×	179 0.9×	269 1.7×	139 1.1×	34	747
Robert Rumely United States	12	243 0.6×	380 1.0×	257 1.2×	73 0.5×	148 1.2×	28	628
Jan‐Hendrik Evertse Netherlands	16	398 0.9×	587 1.5×	283 1.4×	151 0.9×	256 2.0×	56	839
Adolf Hildebrand United States	14	567 1.3×	243 0.6×	164 0.8×	255 1.6×	56 0.4×	56	712
Michael Rosen United States	13	445 1.0×	709 1.9×	312 1.5×	162 1.0×	147 1.1×	47	966
Harold G. Diamond United States	15	429 1.0×	241 0.6×	229 1.1×	122 0.8×	97 0.8×	63	695
A. J. van der Poorten Australia	15	231 0.5×	238 0.6×	235 1.1×	89 0.6×	259 2.0×	73	680
H. Halberstam United States	15	370 0.9×	227 0.6×	152 0.7×	209 1.3×	110 0.9×	53	628
Władysław Narkiewicz Poland	14	639 1.5×	702 1.9×	322 1.6×	229 1.4×	254 2.0×	74	1.2k
T. N. Shorey India	15	669 1.5×	572 1.5×	300 1.4×	204 1.3×	175 1.4×	101	1.0k

Countries citing papers authored by Peter Shiu

Since Specialization

Citations

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

Fields of papers citing papers by Peter Shiu

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Peter Shiu

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

1.

Shiu, Peter. (2020). The three-square theorem of Gauss and Legendre. The Mathematical Gazette. 104(560). 209–214.

2.

Shiu, Peter. (2016). Benford’s law: Theory and application. The Mathematical Gazette. 100(549). 564–567. 1 indexed citations

3.

Shiu, Peter. (2015). Fermat’s method of factorisation. The Mathematical Gazette. 99(544). 97–103. 3 indexed citations

4.

Shiu, Peter. (2015). The factorisation of 2 ⁶⁷ − 1. The Mathematical Gazette. 99(544). 104–108. 1 indexed citations

5.

Shiu, Peter. (2013). 97.02 Solutions to ϕ ( m ) = k ! and σ( n ) = k !. The Mathematical Gazette. 97(538). 110–115.

6.

Shiu, Peter. (2013). The gaps between sums of two squares. The Mathematical Gazette. 97(539). 256–262. 3 indexed citations

7.

Shiu, Peter. (2009). 93.20 Egyptian fraction representations of 1 with odd denominators. The Mathematical Gazette. 93(527). 271–276. 2 indexed citations

8.

Shiu, Peter. (2007). Cryptography: Theory and practice. The Mathematical Gazette. 91(520). 189–189. 1 indexed citations

9.

Shiu, Peter. (2003). Foundations of cryptography: basic tools. The Mathematical Gazette. 87(509). 381–382. 1 indexed citations

10.

Shiu, Peter. (1999). 83.18 Slower and Longer When Coming down!. The Mathematical Gazette. 83(496). 128–128.

11.

Shiu, Peter. (1999). 83.26 More on Estermann and Pythagoras. The Mathematical Gazette. 83(497). 267–269. 2 indexed citations

12.

Shiu, Peter, Mark J. Ablowitz, & A. S. Fokas. (1999). Complex Variables: Introduction and Applications. The Mathematical Gazette. 83(496). 183–183. 23 indexed citations

13.

Shiu, Peter. (1997). Computations of the partition function. The Mathematical Gazette. 81(490). 45–52. 1 indexed citations

14.

Shiu, Peter. (1995). Computation of Continued Fractions Without Input Values. Mathematics of Computation. 64(211). 1307–1307. 2 indexed citations

15.

Shiu, Peter. (1991). An introduction to the theory of numbers (5th edition), by I. Niven, H. S. Zuckerman and H. L. Montgomery. Pp 529. £14·50. 1991. ISBN 0-471-5460031 (Wiley). The Mathematical Gazette. 75(474). 484–485. 1 indexed citations

16.

Shiu, Peter & Władysław Narkiewicz. (1991). Elementary and Analytic Theory of Algebraic Numbers. The Mathematical Gazette. 75(473). 395–395. 443 indexed citations breakdown →

17.

Shiu, Peter. (1986). Counting sums of two squares: the Meissel-Lehmer method. Mathematics of Computation. 47(175). 351–360. 4 indexed citations

18.

Shiu, Peter. (1983). The shapes and sizes of Pythagorean triangles. The Mathematical Gazette. 67(439). 33–38. 1 indexed citations

19.

Shiu, Peter. (1974). A new construction of the real numbers. The Mathematical Gazette. 58(403). 39–46. 1 indexed citations

20.

Shiu, Peter. (1971). Triangular Numbers—Two Applications. The Mathematical Gazette. 55(391). 34–38. 2 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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