Kodai Mathematical Journal

An explicit formula for the zeros of the Rankin-Selberg L-function via the projection of C-modular forms

Takumi Noda

Full-text: Open access

Abstract

We give an explicit formula for the zeros of the Rankin type zeta-function by using the projection of the C-automorphic forms introduced by Sturm (1981). Our theorem gives a correlation of the zeros of the L-functions and the Hecke eigenvalues.

Article information

Source
Kodai Math. J., Volume 31, Number 1 (2008), 120-132.

Dates
First available in Project Euclid: 25 March 2008

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1206454556

Digital Object Identifier
doi:10.2996/kmj/1206454556

Mathematical Reviews number (MathSciNet)
MR2414238

Zentralblatt MATH identifier
1182.11022

Citation

Noda, Takumi. An explicit formula for the zeros of the Rankin-Selberg L -function via the projection of C ∞ -modular forms. Kodai Math. J. 31 (2008), no. 1, 120--132. doi:10.2996/kmj/1206454556. https://projecteuclid.org/euclid.kmj/1206454556


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