Drinfeld reciprocity

In mathematics, Drinfeld reciprocity, introduced by Drinfeld (1974), is a correspondence between eigenforms of the moduli space of Drinfeld modules and factors of the corresponding Jacobian variety, such that all twisted L-functions are the same.

References

• Drinfeld, V. (1974), "Elliptic modules", Matematicheskii Sbornik (in Russian), 94. English translation in Math. USSR Sbornik 23 (1974) 561–592.
• Flicker, Yuval Z.; Kazhdan, David A. (1989), Geometric Ramanujan conjecture and Drinfeld reciprocity law, Number theory, trace formulas and discrete groups, Symp. in Honor of Atle Selberg, Oslo/Norway 1987, 201-218 (1989).
• van der Put, Marius; Reversat, Marc (1997), "Automorphic forms and Drinfeld's reciprocity law", Proceedings of the workshop on Drinfeld modules, modular schemes and applications, Alden-Biesen, Belgium, September 9–14, 1996, Singapore: World Scientific, pp. 188–223, ISBN 981-02-3067-2