Applications of the theory of modular forms to number theory

O. M. Fomenko

Type: Article

Publication Date: 1980-10-01

Citations: 12

DOI: https://doi.org/10.1007/bf01261429

Abstract

The survey is devoted to arithmetic questions in the theory of modular forms and, in particular, to arithmetic applications of modular functions; mainly only elementary and analytic aspects of this topic, as a rule, for the case of a single variable are presented.

Locations

Journal of Soviet Mathematics - View - PDF

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+	M	1995	V. I. Pagurova D. D. Sokolov S. S. Marchenko A. P. Ershov A. I. Shtern L. D. Kudryavtsev M. M. Postnikov А. И. Орлов Yu. V. Nesterenko В. А. Скворцов
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+	Q	1991	Michiel Hazewinkel
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Works Cited by This (481)

Action	Title	Year	Authors
+	On the L-function of quadratic forms.	1975	M. A. Kenku
+ PDF Chat	Sur les int\'egrales attach\'ees aux formes automorphes.	1959	Par Goro SHIMURA
+ PDF Chat	A necessary and sufficient condition for the Riemann hypothesis for zeta functions attached to eigenfunctions of the Hecke operators	1969	Larry Goldstein
+	The Voronoï summation formula	1972	Bruce C. Berndt
+ PDF Chat	Die Berechnung von Zetafunktionen mit Vorzeichencharakter an der Stelle 1	1973	Karl Grundlach
+	Berechnung von Zetafunktionen an ganzzahligen Stellen	1979	Carl Ludwig Siegel K. Chandrasekharan H. Maaß
+	Some number-theoretical results on real analytic automorphic forms	1971	Tomio Kubota
+ PDF Chat	Some remarks on certain generalized Dedekind sums	1964	Hans Rademacher
+ PDF Chat	On the representation of a number as the sum of any number of squares, and in particular of twenty	1962	R. A. Rankin
+	Class fields over real quadratic fields in the theory of modular functions	1971	Goro Shimura