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Your search keyword '"Weak convergence"' showing total 1 results
Start Over Descriptor "Weak convergence" Topic analytic functions Topic zeta functions Journal lithuanian mathematical journal

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1 results on '"Weak convergence"'

1. Joint universality of Hurwitz zeta-functions and nontrivial zeros of the Riemann zeta-function.

Author

Macaitienė, Renata and Šiaučiūnas, Darius

Subjects
*ZETA functions, *ANALYTIC functions, *ZERO (The number), *LOGICAL prediction
Abstract

We prove that every collection of analytic functions (f1(s),... , fr(s)) defined on the right-hand side of the critical strip can be simultaneously approximated by shifts of Hurwitz zeta-functions (ζ(s + iγκh, α1), ... , ζ(s + iγκh, αr)), h > 0, where 0 < γ1 ≤ γ2 ≤ ... are the imaginary parts of nontrivial zeros of the Riemann zeta-function ζ(s). We use the weak form of the Montgomery pair correlation conjecture and the linear independence over ℚ of the set {log(m + αj) : m ∈ ℕ0, j = 1, ... , r}. [ABSTRACT FROM AUTHOR]

Published
2019
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