Modular and automorphic forms & beyond
Author(s)
Bibliographic Information
Modular and automorphic forms & beyond
（Monographs in number theory, v. 9）
World Scientific, c2022
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Note
Includes bibliographical references and (p. 283-296) index
Description and Table of Contents
Description
The guiding principle in this monograph is to develop a new theory of modular forms which encompasses most of the available theory of modular forms in the literature, such as those for congruence groups, Siegel and Hilbert modular forms, many types of automorphic forms on Hermitian symmetric domains, Calabi-Yau modular forms, with its examples such as Yukawa couplings and topological string partition functions, and even go beyond all these cases. Its main ingredient is the so-called 'Gauss-Manin connection in disguise'.
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