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This article is cited in 107 scientific papers (total in 108 papers)
Periods of parabolic forms and $p$-adic Hecke series
Yu. I. Manin
Abstract:
The author proves an algebraicity theorem for the periods of parabolic forms of any weight for the full modular group, gives explicit formulas for the coefficients of the forms, and constructs $p$-adic analogs of their Mellin transforms in the manner of Iwasawa and Mazur.
Bibliography: 13 titles.
Received: 23.05.1973
Citation:
Yu. I. Manin, “Periods of parabolic forms and $p$-adic Hecke series”, Mat. Sb. (N.S.), 92(134):3(11) (1973), 378–401; Math. USSR-Sb., 21:3 (1973), 371–393
Linking options:
https://www.mathnet.ru/eng/sm3354https://doi.org/10.1070/SM1973v021n03ABEH002022 https://www.mathnet.ru/eng/sm/v134/i3/p378
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Abstract page: | 1265 | Russian version PDF: | 439 | English version PDF: | 67 | References: | 87 | First page: | 2 |
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