Periods of parabolic forms and $p$-adic Hecke series
Sbornik. Mathematics, Tome 21 (1973) no. 3, pp. 371-393
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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.
@article{SM_1973_21_3_a1,
author = {Yu. I. Manin},
title = {Periods of parabolic forms and $p$-adic {Hecke} series},
journal = {Sbornik. Mathematics},
pages = {371--393},
publisher = {mathdoc},
volume = {21},
number = {3},
year = {1973},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1973_21_3_a1/}
}
Yu. I. Manin. Periods of parabolic forms and $p$-adic Hecke series. Sbornik. Mathematics, Tome 21 (1973) no. 3, pp. 371-393. http://geodesic.mathdoc.fr/item/SM_1973_21_3_a1/