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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1988 Volume 136(178), Number 4(8), Pages 574–587 (Mi sm1761)

This article is cited in 7 papers

Convolutions of Hilbert modular forms and their non-Archimedean analogues

A. A. Panchishkin


Abstract: The author constructs non-Archimedean analytic functions which interpolate special values of the convolution of two Hilbert cusp forms on a product of complex upper half-planes.
Bibliography: 15 titles.

UDC: 511.334

MSC: Primary 11F41, 11F33; Secondary 11F67, 11F85, 11S80

Received: 18.02.1987


 English version:
Mathematics of the USSR-Sbornik, 1989, 64:2, 571–584

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