Nonvanishing of L-functions, the Ramanujan Conjecture, and Families of Hecke Characters
نویسندگان
چکیده
منابع مشابه
Nonvanishing of L-functions, the Ramanujan Conjecture, and Families of Hecke Characters
We prove a nonvanishing result for families of GLn × GLn Rankin–Selberg L-functions in the critical strip, as one factor runs over twists by Hecke characters. As an application, we simplify the proof, due to Luo, Rudnick, and Sarnak, of the best known bounds towards the Generalized Ramanujan Conjecture at the infinite places for cusp forms on GLn. A key ingredient is the regularization of the u...
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Motivated by work of Gross, Rohrlich, and more recently Kim, Masri, and Yang, we investigate the nonvanishing of central values of L-functions of “canonical” weight 2k−1 Hecke characters for Q( √ −p), where 3 < p ≡ 3 (mod 4) is prime. Using the work of Rodriguez-Villegas and Zagier, we show that there are nonvanishing central values provided that p ≥ 6.5(k−1) and (−1) ( 2 p ) = 1. Moreover, we ...
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15 صفحه اولcontribution of setting to the study of characters and the main idea in e. brontes: wuthering heights and t. hardys: return of the native.
this thesis aims to adduce an unmitigated and comprehensive explication concerning the relationship of three significant elements of fiction: setting, chracter and theme. my research is basically placed on two outstanding novels of the 19th century: emily brontes wuthering heights and thomas hardys return of the native. my endeavour lies in studying the correlation among the three above-mention...
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ژورنال
عنوان ژورنال: Canadian Journal of Mathematics
سال: 2013
ISSN: 0008-414X,1496-4279
DOI: 10.4153/cjm-2011-068-7