RUS  ENG
Full version
JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. LOMI, 1990 Volume 183, Pages 22–48 (Mi znsl4795)

The zeta-function of a convolution

A. I. Vinogradov


Abstract: 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.

UDC: 511.512


 English version:
Journal of Soviet Mathematics, 1992, 62:4, 2845–2864

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025