Remarks on modular symbols for Maass wave forms
نویسندگان
چکیده
منابع مشابه
Remarks on Modular Symbols for Maass Wave Forms
Abstract. In this paper I introduce modular symbols for Maass wave cusp forms. They appear in the guise of finitely additive functions on the Boolean algebra generated by intervals with non–positive rational ends, with values in analytic functions (pseudo–measures in the sense of [MaMar2]). After explaining the basic issues and analogies in the extended Introduction, I construct modular symbols...
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Contents Introduction Chapter I. The period correspondence via L-series 1. The correspondences u ↔ Lε ↔ f ↔ ψ 2. Periodicity, L-series, and the three-term functional equation 3. Even and odd 4. Relations between Mellin transforms; proof of Theorem 1 Chapter II. The period correspondence via integral transforms 1. The integral representation of ψ in terms of u 2. The period function as the integ...
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ژورنال
عنوان ژورنال: Algebra & Number Theory
سال: 2010
ISSN: 1944-7833,1937-0652
DOI: 10.2140/ant.2010.4.1091