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Reciprocity, non-vanishing, and subconvexity of central L-values

来源: 05-26

时间:2022/5/26 13:30-15:00

地点:Zoom ID: 844 745 8596 Passcode: 568789

组织者:Subhajit Jana

主讲人:Subhajit Jana

Abstract: A reciprocity formula usually relates certain moments of two different families of L-functions which apparently have no connections between them. The first such formula was due to Motohashi who related a fourth moment of Riemann zeta values on the central line with a cubic moment of certain automorphic central L-values for GL(2). In this talk, we describe some instances of reciprocity formulas both in low and high rank groups and give certain applications to subconvexity and non-vanishing of central L-values. These are joint works with Nunes and Blomer--Nelson.


BIMSA-YMSC Tsinghua Number Theory Seminar


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