PERIODS OF PARABOLIC FORMS AND p-ADIC HECKE SERIES

PERIODS OF PARABOLIC FORMS AND p-ADIC HECKE SERIES
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DOI:
10.1070/sm1973v021n03abeh002022
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发表时间:
1973-04
期刊:
Mathematics of The Ussr-sbornik
影响因子:
--
通讯作者:
Ju. Manin
Ju. Manin
中科院分区:
其他
文献类型:
--
作者:
Ju. Manin

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作者证明了满模群的任意权抛物型的周期的代数性定理,给出了抛物型的系数的显式公式,并以Iwasawa和Mazur的方式构造了它们的Mellin变换的-adic类似物。
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 -adic analogs of their Mellin transforms in the manner of Iwasawa and Mazur.Bibliography: 13 items.