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)

 The subconvexity problem for L-functions

  2022.10.21(星期五),09:00-10:00

  点:腾讯会议:411-472-359        

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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