Critical zeros of Dirichlet $L$-functions

Details Critical zeros of Dirichlet $L$-functions Critical zeros of Dirichlet $L$-functions

2011-05-05

arxiv.org/abs/1105.1177v1

Mathematics

Number Theory

Scientific paper

We use the Asymptotic Large Sieve and Levinson's method to obtain lower
bounds for the proportion of simple zeros on the critical line of the twists by
primitive Dirichlet characters of a fixed L-function of degree 1,2, or 3.

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