Journal of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support My Subscriptions Help
ISSN 1088-6834(e) ISSN 0894-0347(p)

The Poisson kernel for Drinfeld modular curves

Author(s): Jeremy T. Teitelbaum
Journal: J. Amer. Math. Soc. 4 (1991), 491-511.
MSC: Primary 11G09; Secondary 11F85, 11R58
MathSciNet review: 1099281
Retrieve article in: PDF
This article is available free of charge

References:

[A1]: J. L. Alperin, Local representation theory, Cambridge Stud. Adv. Math., vol. 11, Cambridge Univ. Press, Cambridge, New York, 1986. MR 860771 (87i:20002)
[D]: V. G. Drinfeld, Elliptic modules, Math. USSR. Sb. 94 (1974), 594-627. (Russian); English Transl. Math. USSR-Sb. 23 (1976), 561-592. MR 0384707 (52:5580)
[GvdP]: L. Gerritzen and M. van der Put, Schottky groups and Mumford curves, Lecture Notes in Math., vol. 817, Springer, Berlin, Heidelberg, New York, 1980. MR 590243 (82j:10053)
[Gek1]: E. U. Gekeler, On the coefficients of Drinfeld modular forms, Invent. Math. 93 (1988), 667-700. MR 952287 (89g:11043)
[Gek2]: -, Drinfeld modular curves, Lecture Notes in Math., vol. 1231, Springer, 1986. MR 874338 (88b:11077)
[Go1]: D. Goss, Modular forms for ${\mathbb{F}_r}[T]$ , J. Reine Angew. Math. 317 (1980), 16-39. MR 581335 (82m:10049)
[Go2]: -, $\pi$ -adic Eisentstein series for function fields, Compositio Math. 41 (1980), 3-38. MR 578049 (82e:10053)
[Go3]: -, On a new type of -function for algebraic curves over a finite field, Pacific J. Math. 105 (1983), 143-181. MR 688411 (84g:12017)
[KM]: N. Kuhn and S. Mitchell, The multiplicity of the Steinberg representation of ${\text{G}}{{\text{L}}_2}({\mathbb{F}_q})$ in the symmetric algebra, Proc. Amer. Math. Soc. 96 (1986), 1-6. MR 813797 (87h:20084)
[MP]: S. Mitchell and S. Priddy, Stable splittings derived from the Steinberg module, Topology 22 (1983), 285-298. MR 710102 (85f:55005)
[MTT]: B. Mazur, J. Tate, and J. Teitelbaum, On -adic analogues of the conjecture of Birch and Swinnerton-Dyer, Invent. Math. 84 (1986), 1-48. MR 830037 (87e:11076)
[Sch]: P. Schneider, Rigid analytic -transforms, Number Theory (Proceedings, Noordwijkerhout 1983) Lecture Notes in Math., vol. 1068, Springer, Berlin, Heidelberg, New York, 1983, pp. 216-230. MR 756097 (86b:11043)
[Se]: J. P. Serre, Trees, Springer, 1980. MR 607504 (82c:20083)
[T1]: J. Teitelbaum, Values of -adic -functions and a -adic Poisson kernel, Invent. Math. 101 (1990), 395-410. MR 1062968 (91m:11034)
[T2]: -, On Drinfeld's universal formal group over the -adic upper half plane, Math. Ann. 284 (1989), 647-674. MR 1006378 (90j:11050)
[W]: A. Weil, On the analogue of the modular group in characteristic , Collected Papers, vol. III, Springer, New York 1979, pp. 201-213. MR 0271030 (42:5913)

	Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
\|