A log-free zero-density estimate and small gaps in coefficients of L-functions
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Akbary, Amir; Trudgian, Timothy S
Description
Let L(s,π×π ′ ) be the Rankin--Selberg L -function attached to automorphic representations π and π ′ . Let π ~ and π ~ ′ denote the contragredient representations associated to π and π ′ . Under the assumption of certain upper bounds for coefficients of the logarithmic derivatives of L(s,π×π ~ ) and L(s,π ′ ×π ~ ′ ) , we prove a log-free zero-density estimate for L(s,π×π ′ ) which generalises a result due to Fogels in the context of Dirichlet L -functions. We then employ this...[Show more]
Collections | ANU Research Publications |
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Date published: | 2014-04-14 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/11568 |
Source: | To appear in International Mathematics Research Notices |
DOI: | 10.1093/imrn/rnu065 |
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