Zero density for automorphic L -functions
نویسندگان
چکیده
منابع مشابه
Effective Log-free Zero Density Estimates for Automorphic L-functions and the Sato-tate Conjecture
Let K/Q be a number field. Let π and π′ be cuspidal automorphic representations of GLd(AK) and GLd′(AK), and suppose that either both d and d′ are at most 2 or at least one of π and π′ is self-dual. We prove an effective log-free zero density estimate for the Rankin-Selberg L-function L(s, π ⊗ π′,K) when at least one of L(s, π,K) and L(s, π′,K) satisfies the generalized Ramanujan conjecture. Wi...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2013
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2013.05.012