This article is cited in 19 papers

Convolutions of Hecke series and their values at lattice points

Yu. I. Manin, A. A. Panchishkin


Abstract: An algebraicity theorem is proved for the values of convolutions of Dirichlet series connected with modular forms of various weights at lattice points of the critical strip, $p$-adic estimates of these values are obtained.
Bibliography: 24 titles.

UDC: 511.61

MSC: Primary 10H10, 12B30; Secondary 10D15

Received: 06.10.1976

 English version: Mathematics of the USSR-Sbornik, 1977, 33:4, 539–571

Bibliographic databases:

• 
• 
•