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Your search keyword '"Weak convergence"' showing total 1 results
Start Over Descriptor "Weak convergence" Topic algebraic numbers Topic analytic functions Journal mathematical modelling & analysis

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1 results on '"Weak convergence"'

1. On Joint Discrete Universality of the Riemann Zeta-Function in Short Intervals.

Author

Chakraborty, Kalyan, Kanemitsu, Shigeru, and Laurinčikas, Antanas

Subjects
*ALGEBRAIC numbers, *DIRICHLET series, *ZETA functions, *ANALYTIC functions
Abstract

In the paper, we prove that the set of discrete shifts of the Riemann zeta-function (ζ(s + 2πia1k), . . ., ζ(s + 2πiark)), k ∈ N, approximating analytic non-vanishing functions f1(s), . . ., fr(s) defined on {s ∈ C : 1/2 < Res < 1} has a positive density in the interval [N,N + M] with M = o(N), N → ∞, with real algebraic numbers a1, . . ., ar linearly independent over Q. A similar result is obtained for shifts of certain absolutely convergent Dirichlet series. [ABSTRACT FROM AUTHOR]

Published
2023
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