1997年7月1日　志村五郎　(著)　 Euler Products and Eisenstein Series. CBMS Regional Conference Series in Mathematics (Paperback ed.). American Mathematical Society. (1997-07-01). 


Introduction 14 Free
Chapter I. Algebraic and Local Theories of Generalized Unitary Groups 22 Free
1. Elementary properties of hermitian forms and unitary groups 22
2. Parabolic subgroups and some coset decompositions 28
3. The denominator ideal of a matrix 38
4. Hermitian forms over a commutative semisimple algebra of rank 2 and quadratic forms 44
5. Quadratic and hermitian forms over a nonarchimedean local field 51
6. Unitary groups over C 59
7. Symplectic groups and split unitary groups over local fields 69
Chapter II. Adelization of Algebraic Groups and Auto-morphic Forms 78
8. Adelization of algebraic groups 78
9. Some coset decompositions relative to a parabolic subgroup 89
10. Automorphic forms 96
11. Hecke operators in an arbitrary group and in G[omitted][sub(A)] 104
12. Elementary theory of Eisenstein series 113
Chapter III. Euler Factors on Local Groups and Eisenstein Series 122
13. The series α associated with a hermitian matrix 122
14. The series α[sub(ζ)] with nonsingular ζ 130
15. The explicit form of α(0, s) 139
16. The explicit form of a local Euler factor 146
17. Some local group indices 156
18. Eisenstein series on G[sup(n)] 166
19. The poles and residues of Eisenstein series on G[sup(n)] 178
Chapter IV. Main Theorems on Euler Products, Eisenstein Series, and the Mass Formula 188
20. Main theorems on analytic continuation 188
21. Pullback of Eisenstein series: Arithmetic part 196
22. Pullback of Eisenstein series: Analytic part 202
23. Differential operators 211
24. The mass formula for a unitary group 220
Appendix 230
A1. Some elementary facts on real and complex analysis 230
A2. Bounded domains and kernel functions 235
A3. Convergence of Eisenstein series and some related facts 243
A4. Fourier expansion of automorphic forms 248
A5. Parabolic subgroups and compact subgroups of some classical groups over R 257
A6. L-functions of Hecke characters 258
A7. Theta functions of hermitian forms 262
A8. Central simple algebras over a local field 272
References


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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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