@article{bwmeta1.element.bwnjournal-article-cmv73i2p251bwm,
author = {Katsumi Shiratani and Mieko Yamada},
title = {On rationality of Jacobi sums},
journal = {Colloquium Mathematicae},
volume = {72},
year = {1997},
pages = {251-260},
zbl = {0969.11029},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv73i2p251bwm}
}
Shiratani, Katsumi; Yamada, Mieko. On rationality of Jacobi sums. Colloquium Mathematicae, Tome 72 (1997) pp. 251-260. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv73i2p251bwm/
[000] [1] R. F. Coleman, The Gross-Koblitz formula, Adv. Stud. Pure Math. 12 (1987), 21-52. | Zbl 0644.12008
[001] [2] H. Davenport und H. Hasse, Die Nullstellen der Kongruenzzetafunktionen in gewissen zyklischen Fällen, J. Reine Angew. Math. 172 (1935), 151-182. | Zbl 60.0913.01
[002] [3] M. Ishibashi, H. Sato and K. Shiratani, On the Hasse invariants of elliptic curves, Kyushu J. Math. 48 (1994), 307-321. | Zbl 0841.11031
[003] [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.
[004] [5] N. Koblitz, p-adic Analysis: a Short Course on Recent Works, Cambridge University Press, Cambridge, 1980.
[005] [6] C. G. Schmidt, Die Relationenfaktorgruppen von Stickelberger-Elementen und Kreiszahlen, J. Reine Angew. Math. 315 (1980), 60-72.
[006] [7] L. G. Washington, Introduction to Cyclotomic Fields, Grad. Texts in Math. 83, Springer, 1982.
[007] [8] K. Yamamoto, On a conjecture of Hasse concerning multiplicative relations of Gaussian sums, J. Combin. Theory 1 (1966), 476-489. | Zbl 0173.03901
[008] [9] K. Yamamoto, The gap group of multiplicative relationships of Gaussian sums, Sympos. Math. 15 (1975), 427-440.