Irving Gerst

440 total citations
31 papers, 288 citations indexed

About

Irving Gerst is a scholar working on Algebra and Number Theory, Computational Theory and Mathematics and Electrical and Electronic Engineering. According to data from OpenAlex, Irving Gerst has authored 31 papers receiving a total of 288 indexed citations (citations by other indexed papers that have themselves been cited), including 13 papers in Algebra and Number Theory, 9 papers in Computational Theory and Mathematics and 8 papers in Electrical and Electronic Engineering. Recurrent topics in Irving Gerst's work include Advanced Mathematical Identities (11 papers), Analytic Number Theory Research (6 papers) and Advanced Combinatorial Mathematics (6 papers). Irving Gerst is often cited by papers focused on Advanced Mathematical Identities (11 papers), Analytic Number Theory Research (6 papers) and Advanced Combinatorial Mathematics (6 papers). Irving Gerst collaborates with scholars based in United States, Russia and Australia. Irving Gerst's co-authors include Aaron Fialkow, John Brillhart, Sumner N. Levine, D. J. Gates and Mark Kac and has published in prestigious journals such as Journal of Applied Physics, Mathematics of Computation and Journal of Theoretical Biology.

In The Last Decade

Irving Gerst

29 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
Irving Gerst United States	11	99	93	49	40	38	31	288
Ilan Vardi United States	11	48 0.5×	125 1.3×	39 0.8×	29 0.7×	34 0.9×	31	368
John E. Maxfield United States	7	39 0.4×	30 0.3×	9 0.2×	12 0.3×	135 3.6×	15	268
Ross Honsberger Canada	8	44 0.4×	31 0.3×	21 0.4×	12 0.3×	41 1.1×	18	279
Thomas S. Shores United States	12	22 0.2×	206 2.2×	13 0.3×	10 0.3×	86 2.3×	35	378
David B. Leep United States	9	20 0.2×	105 1.1×	52 1.1×	12 0.3×	59 1.6×	46	359
J. E. Reeve United Kingdom	5	60 0.6×	51 0.5×	99 2.0×	4 0.1×	94 2.5×	10	330
Michael Kinyon United States	14	187 1.9×	122 1.3×	41 0.8×	10 0.3×	128 3.4×	71	527
Jacques Martinet France	11	32 0.3×	144 1.5×	94 1.9×	9 0.2×	58 1.5×	36	437
Isidoro Gitler Mexico	11	25 0.3×	117 1.3×	44 0.9×	14 0.3×	136 3.6×	30	296
Andrew Pollington United States	12	20 0.2×	103 1.1×	36 0.7×	5 0.1×	152 4.0×	34	433

Countries citing papers authored by Irving Gerst

Since Specialization

Citations

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

Fields of papers citing papers by Irving Gerst

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Irving Gerst

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

Brillhart, John, et al.. (1993). A Fundamental Modular Identity and Some Applications. Mathematics of Computation. 61(203). 83–83. 2 indexed citations

Brillhart, John, et al.. (1993). A fundamental modular identity and some applications. Mathematics of Computation. 61(203). 83–95. 11 indexed citations

Brillhart, John, et al.. (1991). On a certain (mod 2) identity and a method of proof by expansion. Mathematics of Computation. 56(194). 775–794. 2 indexed citations

Brillhart, John, et al.. (1991). On a Certain (Mod 2) Identity and a Method of Proof by Expansion. Mathematics of Computation. 56(194). 775–775. 3 indexed citations

Brillhart, John, et al.. (1990). On the Mod 2 Reciprocation of Infinite Modular-Part Products and the Parity of Certain Partition Functions. Mathematics of Computation. 54(189). 345–345. 1 indexed citations

Brillhart, John, et al.. (1988). Some infinite product identities. Mathematics of Computation. 51(183). 301–314. 16 indexed citations

Brillhart, John, et al.. (1988). Some Infinite Product Identities. Mathematics of Computation. 51(183). 301–301. 9 indexed citations

Brillhart, John, et al.. (1987). Parity results for certain partition functions and identities similar to theta function identities. Mathematics of Computation. 48(177). 29–38. 12 indexed citations

Brillhart, John, et al.. (1986). A computer-assisted investigation of Ramanujan pairs. Mathematics of Computation. 46(174). 731–749. 4 indexed citations

10.

Brillhart, John, et al.. (1986). A Computer-Assisted Investigation of Ramanujan Pairs. Mathematics of Computation. 46(174). 731–731. 5 indexed citations

11.

Gerst, Irving, et al.. (1982). Classes of functions with explicit best uniform approximations. Journal of Approximation Theory. 34(3). 264–276.

12.

Gerst, Irving & John Brillhart. (1971). On the Prime Divisors of Polynomials. American Mathematical Monthly. 78(3). 250–266. 12 indexed citations

13.

Gerst, Irving. (1970). On the theory of nth power residues and a conjecture of Kronecker. Acta Arithmetica. 17(2). 121–139. 14 indexed citations

14.

Gerst, Irving. (1969). Some Series for Euler's Constant. American Mathematical Monthly. 76(3). 273–275. 6 indexed citations

15.

Gerst, Irving. (1967). Representation Theorems for Positive Rational Functions. IEEE Transactions on Circuit Theory. 14(3). 340–341.

16.

Gerst, Irving & Sumner N. Levine. (1965). Kinetics of protein synthesis by polyribosomes. Journal of Theoretical Biology. 9(1). 16–36. 10 indexed citations

17.

Fialkow, Aaron & Irving Gerst. (1955). RLC Lattice Transfer Functions. Proceedings of the IRE. 43(4). 462–469. 2 indexed citations

18.

Fialkow, Aaron & Irving Gerst. (1955). Impedance synthesis without mutual coupling. Quarterly of Applied Mathematics. 12(4). 420–422. 12 indexed citations

19.

Fialkow, Aaron & Irving Gerst. (1952). The transfer function of general two terminal-pair RC networks. Quarterly of Applied Mathematics. 10(2). 113–127. 67 indexed citations

20.

Fialkow, Aaron & Irving Gerst. (1951). The Transfer Function of an R‐C Ladder Network. Journal of Mathematics and Physics. 30(1-4). 49–72. 7 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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