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VOL. 49 | 2007 The universality of $L$-functions attached to Maass forms
Hirofumi Nagoshi

Editor(s) Shigeki Akiyama, Kohji Matsumoto, Leo Murata, Hiroshi Sugita

Abstract

We establish the universality theorem on the strip $\{ s \in \mathbb{C} | 1/2 \lt \mathrm{Re}\ s \lt 1\}$ for automorphic $L$-functions attached to Maass forms for $SL(2, \mathbb{Z})$, without the assumption of the Ramanujan conjecture. From this theorem, some results concerning the value distribution of the derivatives of those $L$-functions are obtained.

Information

Published: 1 January 2007
First available in Project Euclid: 27 January 2019

zbMATH: 1229.11077
MathSciNet: MR2405609

Digital Object Identifier: 10.2969/aspm/04910289

Subjects:
Primary: 11F66
Secondary: 11M41

Rights: Copyright © 2007 Mathematical Society of Japan

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