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Functoriality and special values of L-functions

arXiv:0707.1335

Abstract

This is a semi-expository article concerning Langlands functoriality and Deligne's conjecture on the special values of -functions. The emphasis is on symmetric power -functions associated to a holomorphic cusp form, while appealing to a recent work of Mahnkopf on the special values of automorphic -functions.

22 pages. To appear in the proceedings of the AIMS workshop (in August 2005) on Eisenstein series and applications

Functoriality and special values of L-functions · wovepaper