A Note on the Zeros of the Dedekind Zeta Functions-Reference-Cited by-同舟云学术

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A Note on the Zeros of the Dedekind Zeta Functions

Published:2024-07-10 Issue: Volume: Page:
ISSN:0865-2090
Container-title:Mathematica Pannonica
language:
Short-container-title:MathPann

Author:

Pintz János¹

Affiliation:

1. HUN-REN Alfréd Rényi Mathematical Institute, H-1053 Budapest, Reáltanoda u. 13–15, Hungary

Abstract

We prove zero density theorems for Dedekind zeta functions in the vicinity of the line Re s = 1, improving an earlier result of W. Staś.

Publisher

Akademiai Kiado Zrt.

Link

https://akjournals.com/downloadpdf/journals/314/aop/article-10.1556-314.2024.00009/article-10.1556-314.2024.00009.xml

Reference15 articles.

1. [1]Bourgain, J. On large values estimates for Dirichlet polynomials and the density hypothesis for the Riemann zeta function. Internat Math. Res. Notices 3 (2000), 133-146.

2. [2]Halász, G. Über die Mittelwerte multiplikativer zahlentheoretischer Funktionen. Acta Math. Hungar. 19, 3-4 (1968), 365-404.

3. [3]Halász, G. and Turán, P. On the distribution of roots of Riemann zeta and allied functions, I. J. Number Theory 1 (1969), 121-137.

4. [4]Heath-Brown, D. R. On the density of the zeros of the Dedekind Zeta-function. Acta Arith. 33 (1977), 169-181.

5. [5]Landau, E. Einführung in die elementare und analytische Theorie der algebraischen Zahlen und Ideale. Teubner, Leipzig, 1918.

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