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Cho, Perter J.
Lab for Number Theory and L-functions
Research Interests
  • Number theory, artin L-functions, extreme values, random matrix, zeros of L-functions

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Dirichlet characters and low-lying zeros of L-functions

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Title
Dirichlet characters and low-lying zeros of L-functions
Author
Cho, Perter J.Park. Jeongho
Issue Date
2020-07
Publisher
Academic Press Inc.
Citation
JOURNAL OF NUMBER THEORY, v.212, pp.203 - 232
Abstract
Let r be a positive integer ≥2. We consider a family of primitive Dirichlet characters of order r with conductor co-prime to r. For this family, we compute the one-level density with explicit lower order terms in two ways, using Weil's explicit formula and the Ratios conjecture. Also, the n-level density for the family twisted by a fixed cuspidal automorphic representation π of GLM(AQ) is obtained. It turns out that, when r≥3, the symmetry type for our family is always unitary.
URI
https://scholarworks.unist.ac.kr/handle/201301/31245
URL
https://www.sciencedirect.com/science/article/pii/S0022314X19304019?via%3Dihub
DOI
10.1016/j.jnt.2019.12.001
ISSN
0022-314X
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