Zapiski Nauchnykh Seminarov POMI, Modular functions and quadratic forms. Part 1, Tome 183 (1990), pp. 22-48
Citer cet article
A. I. Vinogradov. The zeta-function of a convolution. Zapiski Nauchnykh Seminarov POMI, Modular functions and quadratic forms. Part 1, Tome 183 (1990), pp. 22-48. http://geodesic.mathdoc.fr/item/ZNSL_1990_183_a1/
@article{ZNSL_1990_183_a1,
author = {A. I. Vinogradov},
title = {The zeta-function of a convolution},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {22--48},
year = {1990},
volume = {183},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1990_183_a1/}
}
TY - JOUR
AU - A. I. Vinogradov
TI - The zeta-function of a convolution
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1990
SP - 22
EP - 48
VL - 183
UR - http://geodesic.mathdoc.fr/item/ZNSL_1990_183_a1/
LA - ru
ID - ZNSL_1990_183_a1
ER -
%0 Journal Article
%A A. I. Vinogradov
%T The zeta-function of a convolution
%J Zapiski Nauchnykh Seminarov POMI
%D 1990
%P 22-48
%V 183
%U http://geodesic.mathdoc.fr/item/ZNSL_1990_183_a1/
%G ru
%F ZNSL_1990_183_a1
The zeta function of a convolution $\zeta_k(s)=\sum\limits_{n=1}^\infty\frac{\tau(n)\tau(n+k)}{n^s}$ (it converges absolutely for $\mathrm{Re}\, s>1$) can be extended to a meromorphic function on the entire $s$-plane.
