Deligne's Reciprocity for Function Fields

Journal of Number Theory

Volumn 63, Issue 1, 1997, Pages 65-88

  Sinha, Samarendra K ^a  

^a INSTITUTE FOR ADVANCED STUDY   (United States)

Author keywords

Algebraicity of monomials in values; Deligne's reciprocity; solitons; rigid Liouville's theorem

Indexed keywords

EID: 0010747950     PISSN: 0022314X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jnth.1997.2082     Document Type: Article

References (18)

1. Anderson G. W. t. Duke Math. J. 53:1986;457-502.
2. Anderson G. W. A two-dimensional analogue of Stickelberger's theorem. The Arithmetic of Function Fields, Proceedings of the Workshop at the Ohio State University, June 1991. 1992;de Gruyter.
3. Bosch S., Güntzer U., Remmert R. Non-Archimedean Analysis. 1984;Springer-Verlag, New York/Berlin.
4. Cassels J. W. S., Fröhlich A. Algebraic Number Theory. 1967;Academic Press, New York.
5. Coleman R. On the Frobenius endomorphisms of Fermat and Artin-Schreier curves. Proc. Amer. Math. Soc. 102:1988;463-466.
6. Deligne P. Valeurs de fonctionsL. Proc. Symposia Pure Math. 33:1979;313-346.
7. Deligne P. Hodge Cycles, Motives and Shimura Varieties. Lecture Notes in Math. Vol. 900:1982;Springer-Verlag, New York/Berlin.
8. Fresnel J., van der Put M. Géométrie Analytique Rigide et Applications. Progress in Mathematics. Vol. 18:1981;Birkhäuser, Basel.
9. Gross B. H., Koblitz N. Gauss sums and thepΓ Ann. of Math. 109:1979;569-581.
10. Goss D. TheΓ Duke Math. J. 56:1988;163-191.
11. Hayes D. R. Explicit class field theory for rational function fields. Trans. Amer. Math. Soc. 189:1974;77-91.
12. Hayes D. R. Hecke characters and Eisenstein reciprocity in function fields. J. Number Theory. 43:1993;251-292.
13. Markushevich A. I. Entire Functions. 1966;American Elsevier, New York.
14. Serre J.-P. Local Fields. 1979;Springer-Verlag, New York/Berlin.
15. S. K. Sinha, 1995, Periods oftp, University of Minnesota.
16. S. K. Sinha, Periods oft, Duke Math. J.
17. Thakur D. S. Gamma functions for function fields and Drinfel'd modules. Ann. of Math. 134:1991;25-64.
18. Thakur D. S. On gamma functions for function fields. Goss D. The Arithmetic of Function Fields, Proceedings of the Workshop at the Ohio State University, June 1991. 1992;de Gruyter.