On the conductor of the Jacobi sum Hecke character

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1. 1 Anderson, G.: The hyperadelic gamma function, Invent. Math.95 (1989) 63-131. Zbl0682.14011MR969414
2. 2 Artin, ED., Hasse, H.: Die beiden Ergänzungssätze zum Reziprozitätsgesetz der ln-ten Potenzreste im Körper der ln-ten Einheitswureln, Abh. Math. Sem. Univ. Hamburg6 (1928) 146-162. Zbl54.0191.05JFM54.0191.05
3. 3 Coates, J., Wiles, A.: Explicit reciprocity laws, Astérisque41/42 (1977) 7-17. Zbl0358.12001MR460333
4. 4 Coleman, R.: Anderson-Ihara theory: Gauss sums and circular units, Advanced Studies in Pure Math.17 (1989) 55-72. Zbl0733.14012MR1097609
5. 5 Coleman, R., McCallum, W.: Stable reduction of Fermat curves and Jacobi sum Hecke characters, J. reine und angew. Math.385 (1988) 41-101. Zbl0654.12003MR931215
6. 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. Zbl0068.03501MR76807
7. 7 Ihara, Y.: Profinite braid groups, Galois representations and complex multiplications, Ann. of Math.123 (1986), 43-106. Zbl0595.12003MR825839
8. 8 Iwasawa, K.: On explicit formulas for the norm residue symbol, J. Math. Soc. Japan20 (1968) 151-165. Zbl0256.12013MR229609
9. 9 Iwasawa, K.: On p-adic L-functions, Ann. of Math.89 (1969) 198-205. Zbl0186.09201MR269627
10. 10 Iwasawa, K.: Lectures on p-adic L-functions. Ann. of Math. Studies74, Princeton University Press1972. Zbl0236.12001MR360526
11. 11 Iwasawa, K.: A note on Jacobi sums, Symposia Math.15 (1975) 447-459. Zbl0324.12007MR384747
12. 12 Jensen, C.: Über die Führer einer Klasse Heckescher Grössencharaktere, Math. Scand.8 (1960) 81-96. Zbl0204.07004MR125109
13. 13 Kato, K.: A generalization of class field theory (Japanese). Sûgaku40 (1988) 289-311. Zbl0717.11050MR1002305
14. 14 Miki, H.: On the l-adic expansion of certain Gauss sums and its applications, Advanced Studies in Pure Math.12 (1987) 87-118. Zbl0649.12002MR948238
15. 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. 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 (unpublished) = talk in Number Theory Seminar (Goldfeld), Columbia Univ., March 21, 1988. 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. 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, Laval1987, pp. 632-641. Walter de Gruyter: Berlin, New York, 1989. Zbl0715.11041MR1024592
18. 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]. Zbl0829.11053MR1310737
19. 19 Rohrlich, D.: Jacobi sums and explcit reciprocity laws. Compositio Math.60 (1986) 97-114. Zbl0612.12007MR867959
20. 20 Schmidt, C.- G.: Über die Führer von Gaußschen Summen als Größencharaktere, J. Number Theory12 (1980) 283-310. Zbl0446.12002MR586458
21. 21 Shimura, G., Taniyama, Y.: Complex Multiplication of Abelian Varieties and its Applications to Number Theory, Publ. of Math. Soc. Japan, 1961. Zbl0112.03502MR125113
22. 22 Washington, L.: Introduction to Cyclotomic Fields. GTM 83 (Springer: Berlin, Heidelberg, New York), 1982. Zbl0484.12001MR718674
23. 23 Weil, A.: Jacobi sums as "Grössencharaktere"Trans. Amer. Math. Soc.73 (1952) 487-495. Zbl0048.27001MR51263