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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1979 Volume 43, Issue 5, Pages 1145–1158 (Mi im1750)

This article is cited in 1 paper

On Dirichlet series connected with modular forms of integral and half-integral weight

A. A. Panchishkin


Abstract: Convolutions of Dirichlet series connected with modular forms of integral and half-integral weight are investigated. The analytic continuation of such series is constructed, and their values at critical integer points are calculated.
Bibliography: 25 titles.

UDC: 511.6

MSC: Primary 10H10, 10D12; Secondary 30B40

Received: 07.04.1978


 English version:
Mathematics of the USSR-Izvestiya, 1980, 15:2, 373–385

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