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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
Fulltext:
PDF file (972 kB)
English version:
Journal of Soviet Mathematics, 1992,
62
:4,
2845–2864
Bibliographic databases:
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Steklov Math. Inst. of RAS
, 2025