No.603

1986/06/30〜1986/07/03

藤崎　源二郎

FUJISAKI,GENJIRO

目　次

1. Dedekind sums and special values of L-functions(Algebraic Number Theory)----------------------------------------------------------1

　　　　名古屋大学理学部　　　伊藤 博　(Ito, Hiroshi)

　

2. Theta functions on the hyperbolic three space(Algebraic Number Theory)------------------------------------------------------------9

　　　　Rutgers University　　　Sczech, Robert

　

3. Niedere Potenzen von Ringklasseneinheiten(Algebraic Number Theory)---------------------------------------------------------------21

　　　　Universitat Augsburg　　　Schertz, Reinhard

　

4. On some generic expression of Gauss sums(Algebraic Number Theory)----------------------------------------------------------------35

　　　　Department of Mathematics, Faculty of Science, Tokyo Metropolitan University　　　三木 博雄　(Miki, Hiroo)

　

5. Congruence relations between class numbers of quadratic fields(Algebraic Number Theory)------------------------------------------43

　　　　大阪大学理学部　　　山本 芳彦　(YAMAMOTO, Yoshihiko)

　

6. THE CLASS NUMBER TWO PROBLEM FOR CERTAIN QUARTIC FIELDS(Algebraic Number Theory)-------------------------------------------------51

　　　　Department of Mathematics and Statistics, Carleton University　　　Williams, Kenneth S.

　

7. Nombres de classes dans certaines extensions infinies(Algebraic Number Theory)---------------------------------------------------60

　　　　Universite de Grenoble I, Institut Fourier, Laboratoire de Mathematiques associe au CNRS　　　Gillard, par R.

　

8. Existence of an unramified cyclic extension and congruence conditions(Algebraic Number Theory)-----------------------------------72

　　　　Tokyo Metropolitan University　　　石田 信　(Ishida, Makoto)

　

9. On p-adic Galois representations attached to the elliptic curves over $\mathbb{F}_p$[[t]](Algebraic Number Theory)---------------79

　　　　東京大学理学部　　　藤原 靖　(Fujiwara, Yasushi)

　

10. On $\ell^3$-divisibility of class numbers of $\ell$-cyclic extensions(Algebraic Number Theory)----------------------------------87

　　　　The Faculty of Education, Kagawa University　　　内藤 浩忠　(NAITO, Hirotada)

　

11. The Structure of the Ray Class Group(Algebraic Number Theory)-------------------------------------------------------------------93

　　　　Mathematics Department, University of Conneticut　　　Cornell, Gary

　

12. On a characterization of algebraic number fields by their Galois groups of p-closed Galois extensions(Algebraic Number Theory)---102

　　　　Department of Mathematics, Kyushu University　　　末吉 豊　(SUEYOSHI, Yutaka)

　

13. On sufficient conditions for the Leopoldt conjecture(Algebraic Number Theory)--------------------------------------------------114

　　　　Kanazawa Women's Junior College　　　山下 浩　(Yamasita, Hiroshi)

　

14. Note on central extensions and Leopoldt's conjecture(Algebraic Number Theory)--------------------------------------------------137

　　　　金沢大学理学部　　　古田 孝臣　(Furuta, Yoshiomi)

　

15. Binary Quadratic Forms, Dihedral Fields and Decomposition Laws(Algebraic Number Theory)----------------------------------------152

　　　　Institut fur Mathematik, Karl-Franzens-Universitat　　　Halter-Koch, Franz

　

16. DEUX GROUPE DES CLASSES DE FORMES QUADRATIQUES BINAIRES DEFINIES POSITIVES DE DISCRIMINANT -4$^n$D EN FONCTION DE n(Algebraic Number Theory)---169

　　　　　　　KAPLAN, Pierre