no. 1
Jacobi-sum Hecke characters and Gauss-sum identities
Compositio Mathematica, Tome 48 (1983) no. 1, pp. 55-87. 
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     title = {Jacobi-sum {Hecke} characters and {Gauss-sum} identities},
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     volume = {48},
     number = {1},
     year = {1983},
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     url = {http://www.numdam.org/item/CM_1983__48_1_55_0/}
}
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Kubert, Daniel S.; Lichtenbaum, Stephen. Jacobi-sum Hecke characters and Gauss-sum identities. Compositio Mathematica, Tome 48 (1983) no. 1, pp. 55-87. http://www.numdam.org/item/CM_1983__48_1_55_0/

[1] A. Weil: Jacobi sums as "Grössencharaktere". Trans. Amer. Math. Soc. 75 (1952) 487-495. | MR | Zbl

[2] A. Weil: Sommes de Jacobi et caractères de Hecke. Nachrich. der Akad. Göttingen (1974) 1-14. | MR | Zbl

[3] P. Deligne: Valeurs de fonctions L et périodes d'intégrales. Proceedings of Symposia in Pure Mathematics 33 (1979) 313-346. | MR | Zbl

[4] P. Deligne: Cycles de Hodge sur les varietes abeliennes, preprint.

[5] D. Kubert: Jacobi sums and Hecke characters, to appear. | MR | Zbl

[6] H. Davenport and H. Hasse: Die Nullstellen der Kongruenz-zeta funktionen in gewissen zyklischen Fallen. J. reine angew Math. 172 (1935) 151-182. | EuDML | JFM | Zbl

[7] S. Lichtenbaum: Jacobi-sum Hecke characters of imaginary quadratic fields, preprint.

[8] L. Ahlfors: Complex analysis. McGraw-Hill, 1953. | MR

[9] S. Lang: Algebraic number theory. Addison-Wesley, 1970. | MR | Zbl

[10] R. Langlands : unpublished manuscript.

[11] B. Gross and N. Koblitz: Gauss sums and the p-adic Γ-function. Ann. of Math. 109 (1979) 569-581. | Zbl

[12] G.H. Hardy and E.M. Wright: An introduction to the theory of numbers, 4th ed. Oxford University Press, 1960. | MR | Zbl

[13] I. Iwasawa: Some remarks on Hecke characters. International Symposium on Algebraic Number Theory, Kyoto, 1976. S. Iyanaga, ed. | Zbl

[14] R.J. Evans: Identities for products of Gauss sums over finite fields. To appear in L'Enseignement Math. | MR | Zbl