On the Frobenius endomorphisms of Fermat and Artin-Schreier curves
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- by Robert F. Coleman PDF
- Proc. Amer. Math. Soc. 102 (1988), 463-466 Request permission
Abstract:
The following article offers an explanation of the relationship of Jacobi and Gauss sums to Fermat and Artin-Schreier curves which is an analogue of the proof of Sticklebergerâs theorem.References
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K. F. Gauss, Disquisitiones arithmeticae, Werke, Vol. I, 1901.
H. Davenport and H. Hasse, Die Nullstellen der Kongruenzzetafunktionen in gewessin zyklischen FĂ€llen, Crelles J. 172 (1935), 151.
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- John Tate, Les conjectures de Stark sur les fonctions $L$ dâArtin en $s=0$, Progress in Mathematics, vol. 47, BirkhĂ€user Boston, Inc., Boston, MA, 1984 (French). Lecture notes edited by Dominique Bernardi and Norbert Schappacher. MR 782485 A. Weil, Courbes algĂ©briques et variĂ©tĂ©s abĂ©liennes, Hermann, Paris, 1971.
Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 102 (1988), 463-466
- MSC: Primary 11G20; Secondary 14G15
- DOI: https://doi.org/10.1090/S0002-9939-1988-0928961-7
- MathSciNet review: 928961