no. 1
On the conductor of the Jacobi sum Hecke character
Compositio Mathematica, Volume 92 (1994) no. 1, pp. 23-41 
@article{CM_1994__92_1_23_0,
     author = {Miki, Hiroo},
     title = {On the conductor of the {Jacobi} sum {Hecke} character},
     journal = {Compositio Mathematica},
     pages = {23--41},
     publisher = {Kluwer Academic Publishers},
     volume = {92},
     number = {1},
     year = {1994},
     mrnumber = {1275719},
     zbl = {0798.11049},
     language = {en},
     url = {https://www.numdam.org/item/CM_1994__92_1_23_0/}
}
TY  - JOUR
AU  - Miki, Hiroo
TI  - On the conductor of the Jacobi sum Hecke character
JO  - Compositio Mathematica
PY  - 1994
SP  - 23
EP  - 41
VL  - 92
IS  - 1
PB  - Kluwer Academic Publishers
UR  - https://www.numdam.org/item/CM_1994__92_1_23_0/
LA  - en
ID  - CM_1994__92_1_23_0
ER  - 
%0 Journal Article
%A Miki, Hiroo
%T On the conductor of the Jacobi sum Hecke character
%J Compositio Mathematica
%D 1994
%P 23-41
%V 92
%N 1
%I Kluwer Academic Publishers
%U https://www.numdam.org/item/CM_1994__92_1_23_0/
%G en
%F CM_1994__92_1_23_0
Miki, Hiroo. On the conductor of the Jacobi sum Hecke character. Compositio Mathematica, Volume 92 (1994) no. 1, pp. 23-41. https://www.numdam.org/item/CM_1994__92_1_23_0/

1 Anderson, G.: The hyperadelic gamma function, Invent. Math. 95 (1989) 63-131. | Zbl | MR

2 Artin, Ed., Hasse, H.: Die beiden Ergänzungssätze zum Reziprozitätsgesetz der ln-ten Potenzreste im Körper der ln-ten Einheitswureln, Abh. Math. Sem. Univ. Hamburg 6 (1928) 146-162. | JFM

3 Coates, J., Wiles, A.: Explicit reciprocity laws, Astérisque 41/42 (1977) 7-17. | Zbl | MR | Numdam

4 Coleman, R.: Anderson-Ihara theory: Gauss sums and circular units, Advanced Studies in Pure Math. 17 (1989) 55-72. | Zbl | MR

5 Coleman, R., Mccallum, W.: Stable reduction of Fermat curves and Jacobi sum Hecke characters, J. reine und angew. Math. 385 (1988) 41-101. | Zbl | MR

6 Hasse, H.: Zetafunktionen und L-Funktionen zu einem arithmetischen Funktionenkörper vom Fermatschen Typus. Abh. Deut. Akad. Wiss. Berlin Kl. Math. Nat., 1954, no. 4 (1955) 70 pp. | Zbl | MR

7 Ihara, Y.: Profinite braid groups, Galois representations and complex multiplications, Ann. of Math. 123 (1986), 43-106. | Zbl | MR

8 Iwasawa, K.: On explicit formulas for the norm residue symbol, J. Math. Soc. Japan 20 (1968) 151-165. | Zbl | MR

9 Iwasawa, K.: On p-adic L-functions, Ann. of Math. 89 (1969) 198-205. | Zbl | MR

10 Iwasawa, K.: Lectures on p-adic L-functions. Ann. of Math. Studies 74, Princeton University Press 1972. | Zbl | MR

11 Iwasawa, K.: A note on Jacobi sums, Symposia Math. 15 (1975) 447-459. | Zbl | MR

12 Jensen, C.: Über die Führer einer Klasse Heckescher Grössencharaktere, Math. Scand. 8 (1960) 81-96. | Zbl | MR

13 Kato, K.: A generalization of class field theory (Japanese). Sûgaku 40 (1988) 289-311. | Zbl | MR

14 Miki, H.: On the l-adic expansion of certain Gauss sums and its applications, Advanced Studies in Pure Math. 12 (1987) 87-118. | Zbl | MR

15 Miki, H.: On Weil's Grössencharacters: A brief survey of Gauss and Jacobi sums and recent developments. Proc. Symp. on Number Theory, Nagasaki, Japan, Nov. 1986.

16 Miki, H.: On the conductor of the Jacobi sum Hecke character. Preprint April 1988, 10 pp. (unpublished) = talk in Number Theory Seminar (Goldfeld), Columbia Univ., March 21, 1988.

17 Miki, H.: On the congruence for Gauss sums and its applications. In: Théorie des nombres- Number Theory, J.-M. De Koninck, C. Levesque (eds.). Proceedings, Laval 1987, pp. 632-641. Walter de Gruyter: Berlin, New York, 1989. | Zbl | MR

18 Miki, H.: On the calculation of certain Hilbert norm residue symbols and its application. Preprint March 1992 = the details of a part of [16]. | Zbl | MR

19 Rohrlich, D.: Jacobi sums and explcit reciprocity laws. Compositio Math. 60 (1986) 97-114. | Zbl | MR | Numdam

20 Schmidt, C.- G.: Über die Führer von Gaußschen Summen als Größencharaktere, J. Number Theory 12 (1980) 283-310. | Zbl | MR

21 Shimura, G., Taniyama, Y.: Complex Multiplication of Abelian Varieties and its Applications to Number Theory, Publ. of Math. Soc. Japan, 1961. | Zbl | MR

22 Washington, L.: Introduction to Cyclotomic Fields. GTM 83 (Springer: Berlin, Heidelberg, New York), 1982. | Zbl | MR

23 Weil, A.: Jacobi sums as "Grössencharaktere" Trans. Amer. Math. Soc. 73 (1952) 487-495. | Zbl | MR