Journal of the Mathematical Society of Japan

The universality of symmetric power L-functions and their Rankin-Selberg L-functions

Hongze LI and Jie WU

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Abstract

We establish the universality theorem for the first four symmetric power L -functions of automorphic forms and their associated Rankin-Selberg L -functions. This generalizes some results of Laurinčikas and Matsumoto and of Matsumoto, respectively.

Article information

Source
J. Math. Soc. Japan, Volume 59, Number 2 (2007), 371-392.

Dates
First available in Project Euclid: 1 October 2007

Permanent link to this document
https://projecteuclid.org/euclid.jmsj/1191247592

Digital Object Identifier
doi:10.2969/jmsj/05920371

Mathematical Reviews number (MathSciNet)
MR2325690

Zentralblatt MATH identifier
1159.11017

Subjects
Primary: 11F66: Langlands $L$-functions; one variable Dirichlet series and functional equations

Keywords
automorphic L-function universality

Citation

LI, Hongze; WU, Jie. The universality of symmetric power L -functions and their Rankin-Selberg L -functions. J. Math. Soc. Japan 59 (2007), no. 2, 371--392. doi:10.2969/jmsj/05920371. https://projecteuclid.org/euclid.jmsj/1191247592


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