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EXPLICIT ZERO-COUNTING THEOREM FOR HECKE–LANDAU ZETA-FUNCTIONS

Part of: Algebraic number theory: global fields Zeta and $L$-functions: analytic theory

Published online by Cambridge University Press:  06 February 2017

MACIEJ GRZEŚKOWIAK
MACIEJ GRZEŚKOWIAK*
Affiliation:
Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland email [email protected]
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Abstract

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We give an explicit upper bound for the number of zeros of Hecke–Landau zeta-functions in a rectangle.

Keywords

complete latticedistributive latticecomplete congruencecongruence lattice

MSC classification

Primary: 11M06: $zeta (s)$ and $L(s, chi)$
Secondary: 11M26: Nonreal zeros of $zeta (s)$ and $L(s, chi)$; Riemann and other hypotheses 11R42: Zeta functions and $L$-functions of number fields
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 95 , Issue 3 , June 2017 , pp. 400 - 411
Copyright
© 2017 Australian Mathematical Publishing Association Inc. 

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