Boundedness of automorphic 𝐿–functions in vertical strips

Gelbart, Stephen¹ ; Shahidi, Freydoon²

¹ Nicki and J. Ira Harris Professorial Chair, Weizmann Institute of Science, Rehovot 76100, Israel
² Department of Mathematics, Purdue University, West Lafayette, Indiana 47907

Journal of the American Mathematical Society, Tome 14 (2001) no. 1, pp. 79-107

Résumé

In this paper we prove the boundedness in vertical strips of finite width for all the $L$–functions that appear in constant terms of Eisenstein series, under a certain natural assumption on local normalized intertwining operators. This result has been quite important in establishing recent cases of Langlands functoriality by Cogdell, Kim, Piatetski-Shapiro, and Shahidi, using converse theorems.

Détail

DOI : 10.1090/S0894-0347-00-00351-9

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