|
Zapiski Nauchnykh Seminarov LOMI, 1987, Volume 162, Pages 43–76
(Mi znsl5447)
|
|
|
|
This article is cited in 1 scientific paper (total in 1 paper)
Analytic continuation of $\zeta_3(s,k)$ in the critical strip. Arithmetical part
A. I. Vinogradov
Abstract:
In this paper we study the zeta-function
$$
\zeta_3(s,k)=\sum^\infty_{n=1}\frac{\tau_3(n)\tau_3(n+k)}{(\sqrt{n(n+k)})^s}
$$
with the help of the technique of automorphic functions for $SL_3(Z)$.
Citation:
A. I. Vinogradov, “Analytic continuation of $\zeta_3(s,k)$ in the critical strip. Arithmetical part”, Automorphic functions and number theory. Part III, Zap. Nauchn. Sem. LOMI, 162, "Nauka", Leningrad. Otdel., Leningrad, 1987, 43–76
Linking options:
https://www.mathnet.ru/eng/znsl5447 https://www.mathnet.ru/eng/znsl/v162/p43
|
Statistics & downloads: |
Abstract page: | 115 | Full-text PDF : | 61 |
|