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ZERO DENSITY THEOREMS FOR FAMILIES OF DIRICHLET L-FUNCTIONS

Part of: Zeta and $L$-functions: analytic theory Multiplicative number theory

Published online by Cambridge University Press:  13 January 2023

CHANDLER C. CORRIGAN  and
LIANGYI ZHAO Open the ORCID record for LIANGYI ZHAO [Opens in a new window]
CHANDLER C. CORRIGAN
Affiliation:
School of Mathematics and Statistics, University of New South Wales, Sydney, NSW 2052, Australia e-mail: [email protected]
LIANGYI ZHAO*
Affiliation:
School of Mathematics and Statistics, University of New South Wales, Sydney, NSW 2052, Australia
*
e-mail: [email protected]
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Abstract

We prove some zero density theorems for certain families of Dirichlet L-functions. More specifically, the subjects of our interest are the collections of Dirichlet L-functions associated with characters to moduli from certain sparse sets and of certain fixed orders.

Keywords

Dirichlet characterszero density theorems

MSC classification

Primary: 11M20: Real zeros of $L(s, chi)$; results on $L(1, chi)$
Secondary: 11N35: Sieves
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 108 , Issue 2 , October 2023 , pp. 224 - 235
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Copyright
© The Author(s), 2023. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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