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

Published online by Cambridge University Press:
**29 October 2020**

In this paper, we prove a one level density result for the low-lying zeros of quadratic Hecke L-functions of imaginary quadratic number fields of class number 1. As a corollary, we deduce, essentially, that at least $(19-\cot (1/4))/16 = 94.27\ldots \%$ of the L-functions under consideration do not vanish at 1/2.

Primary:
11L40: Estimates on character sums

- Type
- Research Article
- Information
- Copyright
- © 2020 Australian Mathematical Publishing Association Inc.

Communicated by Michael Coons

The first-named author was supported in part by NSFC grant 11871082 and the second-named author by the FRG grant PS43707 at UNSW.

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ONE-LEVEL DENSITY OF LOW-LYING ZEROS OF QUADRATIC HECKE L-FUNCTIONS OF IMAGINARY QUADRATIC NUMBER FIELDS

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