On rationality of Jacobi sums

• Autorzy: Katsumi Shiratani , Mieko Yamada
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1997
• Tom: 73
• Numer: 2
• Strony: 251-260

Daty

wydano

1997

otrzymano

1996-09-24

Twórcy

autor

Katsumi Shiratani

• Graduate School of Mathematics, Kyushu University, Fukuoka 812, Japan

autor

Mieko Yamada

• Graduate School of Mathematics, Kyushu University, Fukuoka 812, Japan

Bibliografia

• [1] R. F. Coleman, The Gross-Koblitz formula, Adv. Stud. Pure Math. 12 (1987), 21-52.
• [2] H. Davenport und H. Hasse, Die Nullstellen der Kongruenzzetafunktionen in gewissen zyklischen Fällen, J. Reine Angew. Math. 172 (1935), 151-182.
• [3] M. Ishibashi, H. Sato and K. Shiratani, On the Hasse invariants of elliptic curves, Kyushu J. Math. 48 (1994), 307-321.
• [4] T. Ito, H. Ishibashi, A. Munemasa and M. Yamada, The Terwilliger algebras of cyclotomic schemes and rationality of Jacobi sums, in: Algebraic Combinatorics (Fukuoka 1993), 43-44.
• [5] N. Koblitz, p-adic Analysis: a Short Course on Recent Works, Cambridge University Press, Cambridge, 1980.
• [6] C. G. Schmidt, Die Relationenfaktorgruppen von Stickelberger-Elementen und Kreiszahlen, J. Reine Angew. Math. 315 (1980), 60-72.
• [7] L. G. Washington, Introduction to Cyclotomic Fields, Grad. Texts in Math. 83, Springer, 1982.
• [8] K. Yamamoto, On a conjecture of Hasse concerning multiplicative relations of Gaussian sums, J. Combin. Theory 1 (1966), 476-489.
• [9] K. Yamamoto, The gap group of multiplicative relationships of Gaussian sums, Sympos. Math. 15 (1975), 427-440.