2024-03-28T11:28:06Z
https://nagoya.repo.nii.ac.jp/oai
oai:nagoya.repo.nii.ac.jp:00017974
2023-01-16T04:06:14Z
697:698:699
FUNCTIONAL EQUATIONS FOR DOUBLE L-FUNCTIONS AND VALUES AT NON-POSITIVE INTEGERS
KOMORI, YASUSHI
52443
MATSUMOTO, KOHJI
52444
TSUMURA, HIROFUMI
52445
Double L-function; Dirichlet L-function
functional equation
Kubota–Leopoldt p-adic L-function
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.
journal article
World Scientific Publishing
2011-09
application/pdf
International Journal of Number Theory
6
7
1441
1461
http://dx.doi.org/10.1142/S1793042111004551
http://hdl.handle.net/2237/20063
1793-0421
https://nagoya.repo.nii.ac.jp/record/17974/files/9.pdf
eng
https://doi.org/10.1142/S1793042111004551