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math.NT2018★ 8 cited
Zeros of Rankin-Selberg -functions at the edge of the critical strip
Farrell Brumley, Jesse Thorner, Asif Zaman
Let and be unitary cuspidal automorphic representations. We prove log-free zero density estimates for Rankin-Selberg -functions of the form , where $π…
math.NT2018★ 21 cited
A unified and improved Chebotarev density theorem
Jesse Thorner, Asif Zaman
We establish an unconditional effective Chebotarev density theorem that improves uniformly over the well-known result of Lagarias and Odlyzko. As a consequence, we give a new asymp…