This article is cited in 12 papers

Theorem on the mean value of $\psi(x,\chi)$ and its applications

Z. Kh. Rakhmonov

Tajik State University

Abstract: A new bound for the mean values of Chebyshev functions, taken over all Dirichlet characters, is obtained.

UDC: 511

MSC: Primary 11P32; Secondary 11N56, 11L40

Received: 30.10.1992

 English version: Russian Academy of Sciences. Izvestiya Mathematics, 1994, 43:1, 49–64

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