On rationality of Jacobi sums

Katsumi Shiratani; Mieko Yamada

Colloquium Mathematicae (1997)

  • Volume: 73, Issue: 2, page 251-260
  • ISSN: 0010-1354

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Shiratani, Katsumi, and Yamada, Mieko. "On rationality of Jacobi sums." Colloquium Mathematicae 73.2 (1997): 251-260. <http://eudml.org/doc/210489>.

@article{Shiratani1997,
author = {Shiratani, Katsumi, Yamada, Mieko},
journal = {Colloquium Mathematicae},
keywords = {character group; multiplicative group; Teichmüller character; Jacobi sum; quadratic character},
language = {eng},
number = {2},
pages = {251-260},
title = {On rationality of Jacobi sums},
url = {http://eudml.org/doc/210489},
volume = {73},
year = {1997},
}

TY - JOUR
AU - Shiratani, Katsumi
AU - Yamada, Mieko
TI - On rationality of Jacobi sums
JO - Colloquium Mathematicae
PY - 1997
VL - 73
IS - 2
SP - 251
EP - 260
LA - eng
KW - character group; multiplicative group; Teichmüller character; Jacobi sum; quadratic character
UR - http://eudml.org/doc/210489
ER -

References

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  1. [1] R. F. Coleman, The Gross-Koblitz formula, Adv. Stud. Pure Math. 12 (1987), 21-52. Zbl0644.12008
  2. [2] H. Davenport und H. Hasse, Die Nullstellen der Kongruenzzetafunktionen in gewissen zyklischen Fällen, J. Reine Angew. Math. 172 (1935), 151-182. Zbl60.0913.01
  3. [3] M. Ishibashi, H. Sato and K. Shiratani, On the Hasse invariants of elliptic curves, Kyushu J. Math. 48 (1994), 307-321. Zbl0841.11031
  4. [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. [5] N. Koblitz, p-adic Analysis: a Short Course on Recent Works, Cambridge University Press, Cambridge, 1980. 
  6. [6] C. G. Schmidt, Die Relationenfaktorgruppen von Stickelberger-Elementen und Kreiszahlen, J. Reine Angew. Math. 315 (1980), 60-72. 
  7. [7] L. G. Washington, Introduction to Cyclotomic Fields, Grad. Texts in Math. 83, Springer, 1982. 
  8. [8] K. Yamamoto, On a conjecture of Hasse concerning multiplicative relations of Gaussian sums, J. Combin. Theory 1 (1966), 476-489. Zbl0173.03901
  9. [9] K. Yamamoto, The gap group of multiplicative relationships of Gaussian sums, Sympos. Math. 15 (1975), 427-440. 

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