John Greene

408 total citations
19 papers, 240 citations indexed

About

John Greene is a scholar working on Algebra and Number Theory, Geometry and Topology and Artificial Intelligence. According to data from OpenAlex, John Greene has authored 19 papers receiving a total of 240 indexed citations (citations by other indexed papers that have themselves been cited), including 10 papers in Algebra and Number Theory, 9 papers in Geometry and Topology and 5 papers in Artificial Intelligence. Recurrent topics in John Greene's work include Advanced Mathematical Identities (6 papers), Coding theory and cryptography (5 papers) and Mathematical functions and polynomials (5 papers). John Greene is often cited by papers focused on Advanced Mathematical Identities (6 papers), Coding theory and cryptography (5 papers) and Mathematical functions and polynomials (5 papers). John Greene collaborates with scholars based in United States and Canada. John Greene's co-authors include Ron Evans, Dennis Stanton, Ronald J. Evans and Harald Niederreiter and has published in prestigious journals such as Transactions of the American Mathematical Society, American Mathematical Monthly and Pacific Journal of Mathematics.

In The Last Decade

John Greene

17 papers receiving 210 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
John Greene United States	8	153	117	71	70	53	19	240
Georges Rhin France	11	172 1.1×	86 0.7×	72 1.0×	73 1.0×	86 1.6×	33	283
Blair K. Spearman Canada	8	126 0.8×	196 1.7×	61 0.9×	50 0.7×	22 0.4×	74	249
Karl-Otto Stöhr Brazil	7	84 0.5×	193 1.6×	57 0.8×	76 1.1×	22 0.4×	15	231
A. G. Earnest United States	10	125 0.8×	137 1.2×	127 1.8×	37 0.5×	58 1.1×	33	254
F. L. Zak Russia	7	58 0.4×	191 1.6×	86 1.2×	85 1.2×	25 0.5×	12	257
Jaap Top Netherlands	9	62 0.4×	175 1.5×	92 1.3×	42 0.6×	15 0.3×	51	213
Adil Yaqub United States	13	296 1.9×	201 1.7×	68 1.0×	151 2.2×	52 1.0×	79	482
Yuri Valentinovich Nesterenko Russia	8	157 1.0×	148 1.3×	87 1.2×	51 0.7×	55 1.0×	15	286
W. Dale Brownawell United States	9	174 1.1×	315 2.7×	90 1.3×	207 3.0×	106 2.0×	28	446
Donald G. James United States	10	156 1.0×	151 1.3×	152 2.1×	65 0.9×	60 1.1×	47	360

Countries citing papers authored by John Greene

Since Specialization

Citations

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

Fields of papers citing papers by John Greene

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of John Greene

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

All Works

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19 of 19 papers shown

Greene, John, et al.. (2023). The Factor Ring Structure of Quadratic Principal Ideal Domains. American Mathematical Monthly. 131(1). 20–29. 1 indexed citations

Greene, John, et al.. (2017). Continued fractions with non-integer numerators. 20(1). 1 indexed citations

Evans, Ron & John Greene. (2017). Some mixed character sum identities of Katz II. Research in Number Theory. 3(1). 4 indexed citations

Evans, Ron & John Greene. (2016). A quadratic hypergeometric ₂𝐹₁ transformation over finite fields. Proceedings of the American Mathematical Society. 145(3). 1071–1076. 7 indexed citations

Greene, John. (2014). Traces of Matrix Products. Electronic Journal of Linear Algebra. 27. 6 indexed citations

Greene, John, et al.. (2010). Periodic solutions to some difference equations over the integers. The Journal of Difference Equations and Applications. 16(4). 321–346. 4 indexed citations

Evans, Ron & John Greene. (2009). Evaluations of hypergeometric functions over finite fields. Hiroshima Mathematical Journal. 39(2). 13 indexed citations

Evans, Ron & John Greene. (2008). Clausen's theorem and hypergeometric functions over finite fields. Finite Fields and Their Applications. 15(1). 97–109. 18 indexed citations

Greene, John, et al.. (2003). Some Comments on Baillie-PSW Pseudoprimes. The Fibonacci quarterly. 41(4). 334–344. 1 indexed citations

10.

Greene, John. (1997). Principal Ideal Domains are Almost Euclidean. American Mathematical Monthly. 104(2). 154–154. 1 indexed citations

11.

Greene, John. (1997). Principal Ideal Domains are Almost Euclidean. American Mathematical Monthly. 104(2). 154–156.

12.

Greene, John. (1993). Hypergeometric Functions over Finite Fields and Representations of $\bf\SL(2,q)$. Rocky Mountain Journal of Mathematics. 23(2). 8 indexed citations

13.

Evans, Ronald J., John Greene, & Harald Niederreiter. (1992). Linearized polynomials and permutation polynomials of finite fields.. The Michigan Mathematical Journal. 39(3). 11 indexed citations

14.

Greene, John. (1991). On a conjecture of krammer. Journal of Combinatorial Theory Series A. 56(2). 309–311. 2 indexed citations

15.

Evans, Ronald J. & John Greene. (1991). Polynomials with Nonnegative Coefficients Whose Zeros Have Modulus One. SIAM Journal on Mathematical Analysis. 22(4). 1173–1182. 3 indexed citations

16.

Greene, John. (1987). Hypergeometric Functions Over Finite Fields. Transactions of the American Mathematical Society. 301(1). 77–77. 30 indexed citations

17.

Greene, John. (1987). Lagrange inversion over finite fields. Pacific Journal of Mathematics. 130(2). 313–325. 19 indexed citations

18.

Greene, John. (1987). Hypergeometric functions over finite fields. Transactions of the American Mathematical Society. 301(1). 77–101. 100 indexed citations

19.

Greene, John & Dennis Stanton. (1986). The triplication formula for Gauss sums. Aequationes Mathematicae. 30(1). 134–141. 11 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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