1992年2月23日 志村五郎 (著)   Automorphic Functions and Number Theory. Lecture Notes in Mathematics. 54 (Paperback ed.). Springer. (1968).


Table of contents (11 chapters)
Introduction
Shimura, Goro

Pages 1-2
Automorphic functions on the upper half plane, especially modular functions
Shimura, Goro

Pages 2-8
Elliptic curves and the fundamental theorems of the classical theory of complex multiplication
Shimura, Goro

Pages 8-13
Relation between the points of finite order on an elliptic curve and the modular functions of higher level
Shimura, Goro

Pages 13-16
Abelian varieties and siegel modular functions
Shimura, Goro

Pages 16-25
The endomorphism-ring of an abelian variety; the field of moduli of an abelian variety with many complex multiplications
Shimura, Goro

Pages 26-32
The class-field-theoretical characterization of K’ (φ(z))
Shimura, Goro

Pages 33-39
A further method of constructing class fields
Shimura, Goro

Pages 39-47
The hasse zeta function of an algebraic curve
Shimura, Goro

Pages 48-54
Infinite galois extensions with l-adic representations
Shimura, Goro

Pages 55-62
Further generalization and concluding remarks
Shimura, Goro

Pages 62-65
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志村五郎 (著)  Shimura, Goro 書籍 英語版


志村五郎 (著)   Automorphic Functions and Number Theory. Lecture Notes in Mathematics. 54 (Paperback ed.). Springer. (1968).


志村五郎 (著) Introduction to the Arithmetic Theory of Automorphic Functions (Paperback ed.). Princeton University Press. (1971-08-01). 


志村五郎 (著)  Euler Products and Eisenstein Series. CBMS Regional Conference Series in Mathematics (Paperback ed.). American Mathematical Society. (1997-07-01). 


志村五郎 (著)  Abelian Varieties with Complex Multiplication and Modular Functions (Hardcover ed.). Princeton University Press. (1997-12-08).


志村五郎 (著)  Arithmeticity in the Theory of Automorphic Forms. Mathematical Surveys and Monographs (Paperback ed.). American Mathematical Society. (2000-08-22). 


志村五郎 (著)  Arithmetic and Analytic Theories of Quadratic Forms and Clifford Groups. Mathematical Surveys and Monographs (Hardcover ed.). American Mathematical Society. (2004-03-01). 


志村五郎 (著) Elementary Dirichlet Series and Modular Forms. Springer Monographs in Mathematics (Paperback ed.). Springer New York. (2009-12-28). 



志村五郎 (著)  Arithmetic of Quadratic Forms. Springer Monographs in Mathematics (Hardcover ed.). Springer. (2010-07-15). 

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論文集

Collected Papers. I: 1954-1965 (Hardcover ed.). Springer. (2002). 

Collected Papers. II: 1967-1977 (Hardcover ed.). Springer. (2002). 

Collected Papers. III: 1978-1988 (Hardcover ed.). Springer. (2003). 

Collected Papers. IV: 1989-2001 (Hardcover ed.). Springer. (2003). 


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