Congruences in algebraic number fields involving sums of similar powers
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- by Eckford Cohen
- Trans. Amer. Math. Soc. 83 (1956), 547-566
- DOI: https://doi.org/10.1090/S0002-9947-1956-0084524-3
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References
- Eckford Cohen, Congruence representations in algebraic number fields, Trans. Amer. Math. Soc. 75 (1953), 444–470. MR 59308, DOI 10.1090/S0002-9947-1953-0059308-X
- Eckford Cohen, Binary congruences in algebraic number fields, Proc. Nat. Acad. Sci. U.S.A. 42 (1956), 120–122. MR 79614, DOI 10.1073/pnas.42.3.120 H. Davenport and H. Hasse, Die Nullstellen der Kong[ill]uenzzetafunktionen in gewissen Zyklischen Fällen, J. Reine Angew. Math. vol. 172 (1935) pp. 151-182.
- L. K. Hua and H. S. Vandiver, Characters over certain types of rings with applications to the theory of equations in a finite field, Proc. Nat. Acad. Sci. U.S.A. 35 (1949), 94–99. MR 28895, DOI 10.1073/pnas.35.2.94
- H. S. Vandiver, On a generalization of a Jacobi exponential sum associated with cyclotomy, Proc. Nat. Acad. Sci. U.S.A. 36 (1950), 144–151. MR 32683, DOI 10.1073/pnas.36.2.144
- André Weil, Numbers of solutions of equations in finite fields, Bull. Amer. Math. Soc. 55 (1949), 497–508. MR 29393, DOI 10.1090/S0002-9904-1949-09219-4
Bibliographic Information
- © Copyright 1956 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 83 (1956), 547-566
- MSC: Primary 10.2X
- DOI: https://doi.org/10.1090/S0002-9947-1956-0084524-3
- MathSciNet review: 0084524