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Elliptic modular forms and their applications. (English) Zbl 1259.11042
Bruinier, Jan Hendrik et al., The 1-2-3 of modular forms. Lectures at a summer school in Nordfjordeid, Norway, June 2004. Berlin: Springer (ISBN 978-3-540-74117-6/pbk). Universitext, 1-103 (2008).
Summary: These notes give a brief introduction to a number of topics in the classical theory of modular forms. Some of theses topics are (planned) to be treated in much more detail in a book, currently in preparation, based on various courses held at the Collège de France in the years 2000–2004. Here each topic is treated with the minimum of detail needed to convey the main idea, and longer proofs are omitted.
For the entire collection see [Zbl 1197.11047].

MSC:
11F11 Holomorphic modular forms of integral weight
11-02 Research exposition (monographs, survey articles) pertaining to number theory
11E45 Analytic theory (Epstein zeta functions; relations with automorphic forms and functions)
11F20 Dedekind eta function, Dedekind sums
11F25 Hecke-Petersson operators, differential operators (one variable)
11F27 Theta series; Weil representation; theta correspondences
11F67 Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols
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