Arithmetic of þ-adic modular forms
著者
書誌事項
Arithmetic of þ-adic modular forms
(Lecture notes in mathematics, 1304)
Springer-Verlag, c1988
- : gw
- : us
- タイトル別名
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Arithmetic of p-adic modular forms
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注記
Bibliography: p. [117]-119
Includes index
内容説明・目次
内容説明
The central topic of this research monograph is the relation between p-adic modular forms and p-adic Galois representations, and in particular the theory of deformations of Galois representations recently introduced by Mazur. The classical theory of modular forms is assumed known to the reader, but the p-adic theory is reviewed in detail, with ample intuitive and heuristic discussion, so that the book will serve as a convenient point of entry to research in that area. The results on the U operator and on Galois representations are new, and will be of interest even to the experts. A list of further problems in the field is included to guide the beginner in his research. The book will thus be of interest to number theorists who wish to learn about p-adic modular forms, leading them rapidly to interesting research, and also to the specialists in the subject.
目次
p-adic modular forms.- The hecke and U operators.- Galois representations.
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