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Modular and Automorphic Forms & Beyond
Hardcover
Series: Monographs in Number Theory, Book 9
ISBN13: 9789811238673
Publisher: World Scientific Publishing Company
Published: Oct 23 2021
Pages: 324
Weight: 1.33
Height: 0.75 Width: 6.00 Depth: 9.00
Language: English
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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