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Conference to the Memory of Anatoly Alekseevitch Karatsuba on Number theory and Applications
January 29, 2016 12:00–12:25, Dorodnitsyn Computing Centre, Department of Mechanics and Mathematics of Lomonosov Moscow State University., 119991, Moscow, Gubkina str., 8, Steklov Mathematical Institute, 9 floor, Conference hall
 


Selberg method and an additive problem in the theory of $L$-functions

I. S. Rezvyakova

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
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I. S. Rezvyakova


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Abstract: In our talk, we shall demonstrate that the methods developed by Atle Selberg in the theory of $L$-functions reduce the most important problems on distribution of nontrivial zeros of $L$-functions to the solution of the additive problem with the coefficients of the given $L$-function. We shall discuss a problem on distribution of nontrivial zeros of $L$-functions from Selberg class as well as of their linear combinations.

Language: Russian and English

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