中科院数学与系统科学研究院
数学研究所
中科院华罗庚数学重点实验室
华罗庚青年数学论坛
综合报告
报告人： 林永晓 博士 （山东大学）
题 目：The subconvexity problem for L-functions
时 间：2022.10.21（星期五），09:00-10:00
地 点：腾讯会议：411-472-359
摘 要：We will give a gentle introduction to the subconvexity problem for automorphic L-functions. Estimating the value of the Riemann zeta function on the critical line goes back to Weyl and Hardy--Littlewood. The strongest form of such is predicted by the Lindelof hypothesis, one of the corollaries of the Riemann hypothesis. Obtaining any nontrivial approximation to the generalized Lindelof hypothesis for automorphic L-functions is known as the subconvexity problem. We will present the case for the Riemann zeta and Dirichlet L-functions, and introduce examples, including some quantitatively stronger bounds, for higher degree L-functions.
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