Jonathan Sondow

749 total citations
41 papers, 341 citations indexed

About

Jonathan Sondow is a scholar working on Algebra and Number Theory, Mathematical Physics and Applied Mathematics. According to data from OpenAlex, Jonathan Sondow has authored 41 papers receiving a total of 341 indexed citations (citations by other indexed papers that have themselves been cited), including 24 papers in Algebra and Number Theory, 10 papers in Mathematical Physics and 10 papers in Applied Mathematics. Recurrent topics in Jonathan Sondow's work include Advanced Mathematical Identities (19 papers), Analytic Number Theory Research (16 papers) and History and Theory of Mathematics (8 papers). Jonathan Sondow is often cited by papers focused on Advanced Mathematical Identities (19 papers), Analytic Number Theory Research (16 papers) and History and Theory of Mathematics (8 papers). Jonathan Sondow collaborates with scholars based in United States, Russia and Canada. Jonathan Sondow's co-authors include John M. Campbell, L. C. Siebenmann, Wadim Zudilin, Richard Stong, Mark W. Coffey, Jean‐Paul Allouche, Jeffrey Shallit and Mowaffaq Hajja and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, American Mathematical Monthly and Pacific Journal of Mathematics.

In The Last Decade

Jonathan Sondow

37 papers receiving 270 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Jonathan Sondow United States	11	196	139	94	83	55	41	341
Peter Bundschuh Germany	12	158 0.8×	133 1.0×	82 0.9×	95 1.1×	28 0.5×	65	336
B. Crstici Romania	2	160 0.8×	86 0.6×	65 0.7×	43 0.5×	79 1.4×	3	275
N. J. Wildberger Australia	12	91 0.5×	33 0.2×	148 1.6×	134 1.6×	59 1.1×	42	256
Hubert Delange France	11	200 1.0×	105 0.8×	102 1.1×	128 1.5×	53 1.0×	43	354
F. T. Howard United States	12	264 1.3×	141 1.0×	69 0.7×	50 0.6×	167 3.0×	25	371
Michael Filaseta United States	13	264 1.3×	97 0.7×	153 1.6×	49 0.6×	115 2.1×	70	413
Grigori Kolesnik United States	9	378 1.9×	87 0.6×	163 1.7×	141 1.7×	158 2.9×	21	468
Johann Cigler Austria	13	235 1.2×	111 0.8×	92 1.0×	111 1.3×	154 2.8×	37	400
Richard H. Hudson United States	10	200 1.0×	39 0.3×	141 1.5×	95 1.1×	60 1.1×	57	312
Zhi-Hong Sun China	12	493 2.5×	69 0.5×	135 1.4×	89 1.1×	209 3.8×	61	529

Countries citing papers authored by Jonathan Sondow

Since Specialization

Citations

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

Fields of papers citing papers by Jonathan Sondow

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Jonathan Sondow

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

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Campbell, John M., et al.. (2019). Hypergeometry of the Parbelos. American Mathematical Monthly. 127(1). 23–32. 6 indexed citations

Campbell, John M., et al.. (2019). On the interplay among hypergeometric functions, complete elliptic integrals, and Fourier–Legendre expansions. Journal of Mathematical Analysis and Applications. 479(1). 90–121. 26 indexed citations

Sondow, Jonathan. (2013). The Parbelos, a Parabolic Analog of the Arbelos. American Mathematical Monthly. 120(10). 929–935. 3 indexed citations

Sondow, Jonathan, et al.. (2010). New Wallis- and Catalan-Type Infinite Products for α, e and. American Mathematical Monthly. 117(10). 912–917. 6 indexed citations

Sondow, Jonathan, et al.. (2010). A monotonicity property of Riemann’s xi function and a reformulation of the Riemann hypothesis. Periodica Mathematica Hungarica. 60(1). 37–40. 5 indexed citations

Sondow, Jonathan, et al.. (2009). A hypergeometric approach, via linear forms involving logarithms, to criteria for irrationality of Euler’s constant. Mathematica Slovaca. 59(3). 307–314. 2 indexed citations

Sondow, Jonathan. (2008). An Infinite Product Based on a Base: 11222.. American Mathematical Monthly. 115. 465–466. 1 indexed citations

Sondow, Jonathan, et al.. (2008). Интегралы по многогранникам, кратные дзета значения и полилогарифмы, и константа Эйлера. Математические заметки. 84(4). 609–626.

Sondow, Jonathan & Richard Stong. (2007). Choice Bounds: 11132.. American Mathematical Monthly. 114. 359–360. 1 indexed citations

10.

Sondow, Jonathan. (2006). A Geometric Proof That e Is Irrational and a New Measure of Its Irrationality. American Mathematical Monthly. 113(7). 637–641. 12 indexed citations

11.

Sondow, Jonathan, et al.. (2006). The generalized-Euler-constant function γ(z) and a generalization of Somos's quadratic recurrence constant. Journal of Mathematical Analysis and Applications. 332(1). 292–314. 25 indexed citations

12.

Allouche, Jean‐Paul, Jeffrey Shallit, & Jonathan Sondow. (2006). Summation of series defined by counting blocks of digits. Journal of Number Theory. 123(1). 133–143. 4 indexed citations

13.

Sondow, Jonathan. (2006). A Geometric Proof that 𝑒 Is Irrational and a New Measure of Its Irrationality. American Mathematical Monthly. 113(7). 637–637. 6 indexed citations

14.

Sondow, Jonathan. (2006). 11222. American Mathematical Monthly. 113(5). 459–459. 1 indexed citations

15.

Sondow, Jonathan. (2005). Double Integrals for Euler's Constant and In and an Analog of Hadjicostas's Formula. American Mathematical Monthly. 112(1). 61–65. 29 indexed citations

16.

Sondow, Jonathan. (2003). Criteria for irrationality of Euler’s constant. Proceedings of the American Mathematical Society. 131(11). 3335–3344. 25 indexed citations

17.

Sondow, Jonathan. (2003). Zeros of the Alternating Zeta Function on the Line R(S) = 1. American Mathematical Monthly. 110(5). 435–435. 2 indexed citations

18.

Sondow, Jonathan. (1994). Analytic Continuation of Riemann's Zeta Function and Values at Negative Integers Via Euler's Transformation of Series. Proceedings of the American Mathematical Society. 120(2). 421–421. 9 indexed citations

19.

Sondow, Jonathan. (1976). Fixed points of Anosov maps of certain manifolds. Proceedings of the American Mathematical Society. 61(2). 381–384. 1 indexed citations

20.

Sondow, Jonathan. (1975). When is a manifold a leaf of some foliation?. Bulletin of the American Mathematical Society. 81(3). 622–624. 20 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.

Explore authors with similar magnitude of impact