A+ CATEGORY SCIENTIFIC UNIT

Some new density theorems for Dirichlet $L$-functions

Volume 118 / 2019

János Pintz Banach Center Publications 118 (2019), 231-244 MSC: Primary 11N05, 11N36; Secondary 11N35. DOI: 10.4064/bc118-14

Abstract

We prove some new log-free density theorems for zeros of Dirichlet L-functions (which accordingly are more sharp than earlier ones near to the boundary line of the critical strip). The results can be applied in several problems of prime number theory.

Authors

  • János PintzRényi Mathematical Institute of the Hungarian Academy of Sciences
    Reáltanoda u. 13-15
    H-1053 Budapest, Hungary
    e-mail

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