Marvin I. Knopp

1.4k total citations
51 papers, 813 citations indexed

About

Marvin I. Knopp is a scholar working on Mathematical Physics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Marvin I. Knopp has authored 51 papers receiving a total of 813 indexed citations (citations by other indexed papers that have themselves been cited), including 41 papers in Mathematical Physics, 27 papers in Geometry and Topology and 24 papers in Algebra and Number Theory. Recurrent topics in Marvin I. Knopp's work include Advanced Algebra and Geometry (28 papers), Analytic Number Theory Research (14 papers) and Algebraic Geometry and Number Theory (12 papers). Marvin I. Knopp is often cited by papers focused on Advanced Algebra and Geometry (28 papers), Analytic Number Theory Research (14 papers) and Algebraic Geometry and Number Theory (12 papers). Marvin I. Knopp collaborates with scholars based in United States, Lebanon and Switzerland. Marvin I. Knopp's co-authors include Geoffrey Mason, Winfried Kohnen, Sufian Y. Husseini, Sinai Robins, Bruce C. Berndt, Hershel M. Farkas, B. A. Taylor, Robert C. Gunning, Joseph Lehner and Paul T. Bateman and has published in prestigious journals such as Mathematics of Computation, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Marvin I. Knopp

46 papers receiving 659 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Marvin I. Knopp United States	16	522	499	379	141	140	51	813
Atle Selberg United States	5	517 1.0×	395 0.8×	360 0.9×	227 1.6×	122 0.9×	6	828
Michel Goze France	16	413 0.8×	528 1.1×	551 1.5×	91 0.6×	81 0.6×	53	742
Paul Sally United States	15	414 0.8×	156 0.3×	329 0.9×	93 0.7×	127 0.9×	35	519
Takuro Shintani Japan	12	662 1.3×	499 1.0×	531 1.4×	163 1.2×	191 1.4×	19	914
Eberhard Freitag Germany	13	586 1.1×	270 0.5×	568 1.5×	60 0.4×	116 0.8×	55	730
Ronnie Lee United States	14	587 1.1×	137 0.3×	564 1.5×	129 0.9×	81 0.6×	56	730
Michel Duflo France	15	510 1.0×	300 0.6×	322 0.8×	153 1.1×	77 0.6×	26	667
Walter Roelcke Germany	10	336 0.6×	189 0.4×	257 0.7×	83 0.6×	47 0.3×	24	474
Tomoyoshi Ibukiyama Japan	14	526 1.0×	286 0.6×	489 1.3×	56 0.4×	172 1.2×	66	708
J. Mennicke Germany	14	347 0.7×	179 0.4×	313 0.8×	61 0.4×	181 1.3×	30	538

Countries citing papers authored by Marvin I. Knopp

Since Specialization

Citations

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

Fields of papers citing papers by Marvin I. Knopp

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Marvin I. Knopp. 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 Marvin I. Knopp. The network helps show where Marvin I. Knopp may publish in the future.

Co-authorship network of co-authors of Marvin I. Knopp

This figure shows the co-authorship network connecting the top 25 collaborators of Marvin I. Knopp. A scholar is included among the top collaborators of Marvin I. Knopp 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 Marvin I. Knopp. Marvin I. Knopp 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

Farkas, Hershel M., Robert C. Gunning, Marvin I. Knopp, & B. A. Taylor. (2012). From Fourier Analysis and Number Theory to Radon Transforms and Geometry. CERN Document Server (European Organization for Nuclear Research). 27 indexed citations

Knopp, Marvin I., et al.. (2010). EICHLER COHOMOLOGY FOR GENERALIZED MODULAR FORMS II. International Journal of Number Theory. 6(5). 1083–1090. 5 indexed citations

Berndt, Bruce C. & Marvin I. Knopp. (2007). Hecke's Theory of Modular Forms and Dirichlet Series. World Scientific Publishing Co. Pte. Ltd. eBooks. 13 indexed citations

Berndt, Bruce C. & Marvin I. Knopp. (2007). Hecke's Theory of Modular Forms and Dirichlet Series. 5 indexed citations

Knopp, Marvin I. & Geoffrey Mason. (2003). Generalized modular forms. Journal of Number Theory. 99(1). 1–28. 41 indexed citations

Knopp, Marvin I. & Sinai Robins. (2001). Easy proofs of Riemann’s functional equation for 𝜁(𝑠) and of Lipschitz summation. Proceedings of the American Mathematical Society. 129(7). 1915–1922. 17 indexed citations

Knopp, Marvin I. & Morris Newman. (1993). On groups related to the Hecke groups. Proceedings of the American Mathematical Society. 119(1). 77–80. 1 indexed citations

Knopp, Marvin I.. (1993). On the cuspidal spectrum of the arithmetic Hecke groups. Mathematics of Computation. 61(203). 269–275. 1 indexed citations

Knopp, Marvin I., et al.. (1993). A Tribute to Emil Grosswald: Number Theory and Related Analysis. Contemporary mathematics - American Mathematical Society. 23 indexed citations

10.

Knopp, Marvin I.. (1985). On the growth of entire automorphic integrals. 8(2). 146–152. 8 indexed citations

11.

Knopp, Marvin I.. (1981). Rational period functions of the modular group II. Glasgow Mathematical Journal. 22(2). 185–197. 19 indexed citations

12.

Knopp, Marvin I.. (1980). Hecke operators and an identity for the dedekind sums. Journal of Number Theory. 12(1). 2–9. 28 indexed citations

13.

Knopp, Marvin I.. (1974). Some new results on the Eichler cohomology of automorphic forms. Bulletin of the American Mathematical Society. 80(4). 607–632. 84 indexed citations

14.

Knopp, Marvin I.. (1970). Modular functions in analytic number theory. Medical Entomology and Zoology. 143 indexed citations

15.

Knopp, Marvin I.. (1969). Theory of area.

16.

Knopp, Marvin I.. (1966). Polynomial Automorphic Forms and Nondiscontinuous Groups. Transactions of the American Mathematical Society. 123(2). 506–506. 4 indexed citations

17.

Knopp, Marvin I.. (1966). Polynomial automorphic forms and nondiscontinuous groups. Transactions of the American Mathematical Society. 123(2). 506–520. 6 indexed citations

18.

Knopp, Marvin I.. (1963). A Note on Subgroups of the Modular Group. Proceedings of the American Mathematical Society. 14(1). 95–95. 1 indexed citations

19.

Knopp, Marvin I.. (1962). Construction of automorphic forms on 𝐻-groups and supplementary Fourier series. Transactions of the American Mathematical Society. 103(1). 168–188. 22 indexed citations

20.

Knopp, Marvin I.. (1960). Automorphic forms of nonnegative dimension and exponential sums.. The Michigan Mathematical Journal. 7(3). 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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