SUMMATION OF THE FOURIER COEFFICIENTS OF THE NON-HOLOMORPHIC EISENSTEIN CUSP SERIES OF THE PSL(2,Z) GROUP

Orchidea Maria Lecian

Type: Article

Publication Date: 2023-01-30

Citations: 1

DOI: https://doi.org/10.47191/ijmcr/v11i1.11

Abstract

The Fourier coefficients of the non-holomorphic Eisenstein cusp forms of the Laplace-Beltrami operator are here summed. The summation is performed after the Dirichlet series related to the divisor function, after the properties of the meromorphic continuability; a new dependence on the Euler’s γ constant is also found.

Locations

INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH - View - PDF
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Works Cited by This (8)

Action	Title	Year	Authors
+ PDF Chat	Nonvanishing of symmetric square $L$-functions of cusp forms inside the critical strip	1999	Winfried Kohnen Jyoti Sengupta
+ PDF Chat	The resolvent of the Laplacian on locally symmetric spaces	1992	Roberto J. Miatello Nolan R. Wallach
+	Modular forms whose fourier coefficients involve zeta-functions of quadratic fields	1977	Don Zagier
+	Convolution of the Fourier coefficients of the Eisenstein-Maass series	1985	Н. В. Кузнецов
+	Geodesics in homology classes	1987	Ralph S. Phillips Peter Sarnak
+	Nonvanishing of HeckeL-Functions Associated to Cusp Forms inside the Critical Strip	1997	Winfried Kohnen
+	An Additive Divisor Problem	1982	Jean-Marc Deshouillérs Henryk Iwaniec
+	On the Holomorphy of Certain Dirichlet Series	1975	Goro Shimura