Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1335

 Title: On Li’s Coeﬃcients for Some Classes of L-Functions Authors: Odžak, Almasa Keywords: Li’s CoeﬃcientsSelberg ClassRankin-Selberg L-FunctionsGeneralized Ramanujan ConjectureGeneralized Riemann Hypothesis Issue Date: 2010 Publisher: Bulgarian Academy of Sciences - National Committee for Mathematics Citation: Mathematica Balkanica New Series, Vol. 24, Fasc 3-4 (2010), 217p-228p Abstract: We study the generalized Li coeﬃcients associated with the class S♯♭ of functions containing the Selberg class and (unconditionally) the class of all automorphic L-functions attached to irreducible unitary cuspidal representations of GLN(Q) and the class of L-functions attached to the Rankin-Selberg convolution of two unitary cuspidal automorphic representations π and π′ of GLm(AF ) and GLm′ (AF ). We deduce a full asymptotic expansion of the Archimedean contribution to these coeﬃcients and investigate the contribution of the non-archimedean term. Obtained results are applied to automorphic L-functions. Also, a bound towards a generalized Ramanujan conjecture for the Archimedean Langlands parameters µπ(v, j) of π is derived. Description: AMS Subj. Classiﬁcation: 11M41, 11M26, 11S40 URI: http://hdl.handle.net/10525/1335 ISSN: 0205-3217 Appears in Collections: Mathematica Balkanica New Series, Vol. 24, 2010, Fasc. 3-4

Files in This Item:

File Description SizeFormat