A. A. Panchishkin, “Non-Archimedean Rankin <nobr>$L$</nobr>-functions and their functional equations”, Izv. Akad. Nauk SSSR Ser. Mat., 1988, Volume 52, Issue 2,Pages <nobr>336

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Non-Archimedean Rankin $L$-functions and their functional equations

A. A. Panchishkin

Abstract: A functional equation is established for the $S$-adic $L$-functions obtained by non-Archimedean interpolation of the special values of the convolution of two cusp forms on the upper half-plane.
Bibliography: 33 titles.

UDC: 511.334

MSC: Primary 11S40, 11F33, 11F67, 11F85; Secondary 11S80, 11F66

Received: 03.05.1986