John Loxton

813 total citations
47 papers, 444 citations indexed

About

John Loxton is a scholar working on Algebra and Number Theory, Applied Mathematics and Geometry and Topology. According to data from OpenAlex, John Loxton has authored 47 papers receiving a total of 444 indexed citations (citations by other indexed papers that have themselves been cited), including 22 papers in Algebra and Number Theory, 10 papers in Applied Mathematics and 9 papers in Geometry and Topology. Recurrent topics in John Loxton's work include Analytic Number Theory Research (19 papers), Advanced Mathematical Identities (11 papers) and History and Theory of Mathematics (7 papers). John Loxton is often cited by papers focused on Analytic Number Theory Research (19 papers), Advanced Mathematical Identities (11 papers) and History and Theory of Mathematics (7 papers). John Loxton collaborates with scholars based in Australia, United Kingdom and Canada. John Loxton's co-authors include A. J. van der Poorten, Robert A. Smith, R. C. Vaughan, Hugh C. Williams, J. W. Sanders, Mohamad Rushdan Md. Said, Michael D. Hirschhorn, Péter L. Erdős, Jennifer Seberry and Graham Everest and has published in prestigious journals such as American Mathematical Monthly, Pacific Journal of Mathematics and Mathematical Proceedings of the Cambridge Philosophical Society.

In The Last Decade

John Loxton

43 papers receiving 345 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
John Loxton Australia	14	191	145	124	115	90	47	444
Douglas Hensley United States	11	137 0.7×	116 0.8×	139 1.1×	67 0.6×	131 1.5×	34	372
Imre Kátai Hungary	11	260 1.4×	242 1.7×	98 0.8×	145 1.3×	71 0.8×	131	507
Eduard Wirsing Germany	10	302 1.6×	178 1.2×	170 1.4×	70 0.6×	90 1.0×	35	496
Hans Peter Schlickewei Germany	14	272 1.4×	218 1.5×	383 3.1×	179 1.6×	89 1.0×	44	604
J. S. Hsia United States	13	265 1.4×	276 1.9×	295 2.4×	104 0.9×	102 1.1×	49	571
R. R. Hall United Kingdom	15	335 1.8×	210 1.4×	263 2.1×	91 0.8×	239 2.7×	90	667
Robert Rumely United States	12	243 1.3×	257 1.8×	380 3.1×	148 1.3×	98 1.1×	28	628
S. W. Graham United States	10	385 2.0×	113 0.8×	161 1.3×	40 0.3×	93 1.0×	23	501
Ivan Matveevich Vinogradov	4	156 0.8×	69 0.5×	63 0.5×	73 0.6×	30 0.3×	5	329
Paul T. Bateman United States	13	429 2.2×	145 1.0×	247 2.0×	90 0.8×	55 0.6×	41	619

Countries citing papers authored by John Loxton

Since Specialization

Citations

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

Fields of papers citing papers by John Loxton

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of John Loxton

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

Said, Mohamad Rushdan Md. & John Loxton. (2003). A cubic analogue of the RSA cryptosystem. Bulletin of the Australian Mathematical Society. 68(1). 21–38. 7 indexed citations

Everest, Graham & John Loxton. (1993). Counting Algebraic Units with Bounded Height. Journal of Number Theory. 44(2). 222–227. 4 indexed citations

Poorten, A. J. van der & John Loxton. (1988). Arithmetic properties of automata: regular sequences.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1988(392). 57–69. 20 indexed citations

Loxton, John. (1986). Some problems involving powers of integers. Acta Arithmetica. 46(2). 113–123. 11 indexed citations

Loxton, John. (1985). The Peters Phenomenon. The Cartographic Journal. 22(2). 106–108. 1 indexed citations

Loxton, John. (1985). The Peters Phenomenon. The Cartographic Journal. 22(2). 106–108. 10 indexed citations

Loxton, John. (1984). Special values of the dilogarithm function. Acta Arithmetica. 43(2). 155–166. 13 indexed citations

Loxton, John, et al.. (1983). Multiplicative dependence in number fields. Acta Arithmetica. 42(3). 291–302. 16 indexed citations

Loxton, John. (1983). The graphs of exponential sums. Mathematika. 30(2). 153–163. 13 indexed citations

10.

Loxton, John & Robert A. Smith. (1982). On Hua's Estimate for Exponential Sums. Journal of the London Mathematical Society. s2-26(1). 15–20. 28 indexed citations

11.

Loxton, John, et al.. (1982). Developments in Close Range Photogrammetry–1. Survey Review. 26(205). 348–352. 4 indexed citations

12.

Loxton, John & J. W. Sanders. (1980). The kernel of a rule of approximate integration. The Journal of the Australian Mathematical Society Series B Applied Mathematics. 21(3). 257–267. 6 indexed citations

13.

Loxton, John & A. J. van der Poorten. (1977). A class of hypertranscendental functions. (Short Communication).. Aequationes Mathematicae. 15. 114–115.

14.

Loxton, John. (1977). On the determination of Gauss sums. French digital mathematics library (Numdam). 18(2). 1–12. 1 indexed citations

15.

Loxton, John & A. J. van der Poorten. (1977). Arithmetic properties of certain functions in several variables III. Bulletin of the Australian Mathematical Society. 16(1). 15–47. 41 indexed citations

16.

Poorten, A. J. van der & John Loxton. (1977). Computing the effectively computable bound in Baker's inequality for linear forms in logarithms, and: Multiplicative relations in number fields: Corrigenda and addenda. Bulletin of the Australian Mathematical Society. 17(1). 151–155.

17.

Loxton, John & A. J. van der Poorten. (1977). Arithmetic properties of certain functions in several variables. Journal of Number Theory. 9(1). 87–106. 14 indexed citations

18.

Loxton, John & A. J. van der Poorten. (1977). A class of hypertranscendental functions. Aequationes Mathematicae. 16(1-2). 93–106. 14 indexed citations

19.

Loxton, John & A. J. van der Poorten. (1977). On the growth of recurrence sequences. Mathematical Proceedings of the Cambridge Philosophical Society. 81(3). 369–376. 10 indexed citations

20.

Loxton, John & A. J. van der Poorten. (1976). On algebraic functions satisfying a class of functional equations. Aequationes Mathematicae. 14(3). 413–420. 6 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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