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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Siegel Zeros and Applications
西格尔零点 Landau-Siegel零点 大黎曼猜想 狄利克雷L函数
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2023/4/24
Siegel zeros are real zeros of L-functions that are very close to 1, the non-existence of which was conjectured as a direct consequence of the Grand Riemann Hypothesis (GRH). In this talk, we will sta...
Distinct zeros and simple zeros of Dirichlet $L$-functions
simple zeros distinct zeros Dirichlet L-function
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2012/6/29
We study the number of distinct zeros and simple zeros of Dirichlet $L$-function by using Asymptotic Large Sieve in this paper. In asymptotic terms, we prove that there are more than 66.43% of zeros o...
Trivial zeros of p-adic L-functions at near central points
Trivial zeros p-adic L-functions central points Number Theory
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2011/8/26
Abstract: Using the $\scr L$-invariant constructed in our previous paper we prove a Mazur-Tate-teitelbaum style formula for derivatives of p-adic L-functions at near central points.