FUNCTIONAL EQUATIONS FOR DOUBLE L-FUNCTIONS AND VALUES AT NON-POSITIVE INTEGERS-Reference-Cited by-同舟云学术

FUNCTIONAL EQUATIONS FOR DOUBLE L-FUNCTIONS AND VALUES AT NON-POSITIVE INTEGERS

Published:2011-09 Issue:06 Volume:07 Page:1441-1461
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

KOMORI YASUSHI¹,MATSUMOTO KOHJI²,TSUMURA HIROFUMI³

Affiliation:

1. Department of Mathematics, Rikkyo University, Nishi-Ikebukuro, Toshima-ku, Tokyo 171-8501, Japan

2. Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya 464-8602, Japan

3. Department of Mathematics and Information Sciences, Tokyo Metropolitan University, 1-1, Minami-Ohsawa, Hachioji, Tokyo 192-0397, Japan

Abstract

We consider double L-functions with periodic coefficients and complex parameters. We prove functional equations for them, which is of traditional symmetric form on certain hyperplanes. These are character analogs of our previous result on double zeta-functions. We further evaluate double L-functions at non-positive integers and construct certain p-adic double L-functions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042111004551

Reference26 articles.

1. Analytic continuation of multiple zeta-functions and their values at non-positive integers

2. On Analytic Continuation of Multiple L-Functions and Related Zeta-Functions

3. Modular Functions and Dirichlet Series in Number Theory

4. On multiple L-values

5. Memoirs of the American Mathematical Society;Dilcher K.,1988

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