Hecke operators and an identity for the dedekind sums
نویسندگان
چکیده
منابع مشابه
Hecke Operators on Weighted Dedekind Symbols
Dedekind symbols generalize the classical Dedekind sums (symbols). The symbols are determined uniquely by their reciprocity laws up to an additive constant. There is a natural isomorphism between the space of Dedekind symbols with polynomial (Laurent polynomial) reciprocity laws and the space of cusp (modular) forms. In this article we introduce Hecke operators on the space of weighted Dedekind...
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Let Sw+2 be the vector space of cusp forms of weight w + 2 on the full modular group, and let S∗ w+2 denote its dual space. Periods of cusp forms can be regarded as elements of S∗ w+2. The Eichler-Shimura isomorphism theorem asserts that odd (or even) periods span S w+2 . However, periods are not linearly independent; in fact, they satisfy the Eichler-Shimura relations. This leads to a natural ...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 1980
ISSN: 0022-314X
DOI: 10.1016/0022-314x(80)90067-0