A log-free zero-density estimate and small gaps in coefficients of L-functions
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|
|Source:||To appear in International Mathematics Research Notices|
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