Log-algebraicity of twisted A-harmonic series and special values of L-series in characteristic p

Journal of Number Theory

Volumn 60, Issue 1, 1996, Pages 165-209

  Anderson, Greg W ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030240849     PISSN: 0022314X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jnth.1996.0119     Document Type: Article

References (14)

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3. 3. G. W. Anderson and D. S. Thakur, Tensor powers of the Carlitz module and zeta values, Ann. of Math. 132 (1990), 159-191.
4. 4. V. Drinfeld, Elliptic modules, Math. USSR-Sb. 23 (1974), 561-592.
5. 5. E. Gekeler, On the coefficients of Drinfeld modular forms, Invent. Math. 93 (1988), 667-700.
6. 6. D. Goss, L-series of t-motives and Drinfeld modules, in "The Arithmetic of Function Fields" (G. Goss, D. R. Hayes, and M. I. Rosen, Eds.), pp. 313-402, de Gruyter, Berlin/ New York, 1992.
7. 7. D. Goss, The arithmetic of function fields 2. The 'cyclotomic' theory, J. Algebra 81 (1983), 107-149.
8. 8. D. Hayes, A brief introduction to Drinfeld modules, in "The Arithmetic of Function Fields" (G. Goss, D. R. Hayes, and M. I. Rosen, Eds.), pp. 1-32, de Gruyter, Berlin/ New York, 1992.
9. 9. E. E. Kummer, "Collected Papers, Vol. I, Contributions to Number Theory" (A. Weil, Ed.), Springer-Verlag, Berlin/Heidelberg/New York, 1975.
10. 10. B. Poonen, Local height functions and the Mordell-Weil theorem for Drinfeld modules, Compositio Math. 97 (1995), 349-368.
11. q[T], Invent. Math. 94 (1988), 105-112.
12. 12. D. S. Thakur, On gamma functions for function fields, in "The Arithmetic of Function Fields" (D. Goss, D. R. Hayes, and M. I. Rosen, Eds.), pp. 75-86, de Gruyter, Berlin/ New York, 1992.
13. 13. D. Thakur, Drinfeld modules and arithmetic in the function fields, Duke IMRN 9 (1992), 185-197.
14. 14. L. Washington, "Introduction to Cyclotomic Fields," Graduate Texts in Mathematics, Vol. 83, Springer-Verlag, New York, 1982.