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Arithmeticity in the Theory of Automorphic Forms (Mathematical Surveys and Monographs) by Gorō Shimura is a nonfiction available to read on EtoBox.

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Written by one of the leading experts, venerable grandmasters, and most active contributors $\ldots$ in the arithmetic theory of automorphic forms $\ldots$ the new material included here is mainly the outcome of his extensive work $\ldots$ over the last eight years $\ldots$ a very careful, detailed introduction to the subject $\ldots$ this monograph is an important, comprehensively written and profound treatise on some recent achievements in the theory. —Zentralblatt MATH The main objects of study in this book are Eisenstein series and zeta functions associated with Hecke eigenforms on symplectic and unitary groups. After preliminaries—including a section, “Notation and Terminology”—the first part of the book deals with automorphic forms on such groups. In particular, their rationality over a number field is defined and discussed in connection with the group action; also the reciprocity law for the values of automorphic functions at CM-points is proved. Next, certain differential operators that raise the weight are investigated in higher dimension. The notion of nearly holomorphic functions is introduced, and their arithmeticity is defined. As applications of these, the arithmetici

Who reads Arithmeticity in the Theory of Automorphic Forms (Mathematical Surveys and Monographs)?

Author

Gorō Shimura

Publisher

American Mathemataical Society

Published

2000

Language

EN

ISBN

9780821849613

Category

nonfiction

Subjects

Mathematics, Stem