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This article is cited in 12 scientific papers (total in 13 papers)
$p$-adic Hecke series of imaginary quadratic fields
M. M. Vishik, Yu. I. Manin
Abstract:
In this paper a $p$-adic analytic function of two variables is constructed whose values in some “common” domain coincide with the values of the family of Hecke $L$-series of an imaginary quadratic field. The functional equation for such a function is obtained. The $p$-adic Mellin integral transform is the main technique.
Bibliography: 13 titles.
Received: 22.04.1974
Citation:
M. M. Vishik, Yu. I. Manin, “$p$-adic Hecke series of imaginary quadratic fields”, Math. USSR-Sb., 24:3 (1974), 345–371
Linking options:
https://www.mathnet.ru/eng/sm3758https://doi.org/10.1070/SM1974v024n03ABEH001916 https://www.mathnet.ru/eng/sm/v137/i3/p357
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Abstract page: | 588 | Russian version PDF: | 206 | English version PDF: | 21 | References: | 80 | First page: | 2 |
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