Keiju Sono

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20162024

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Showing 2021 · math.NTShow all

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math.NT2021

The second moment of Dirichlet twists of a $GL_{4}$ automorphic $L$ -function

Keiju Sono

In this paper, we give an asymptotic formula for the second moment of Dirichlet twists of an automorphic $L$ -function $L (s, π)$ on the critical line averaged over characters and co…

math.NT2021

Zeros of Dirichlet $L$ -functions on the critical line

Keiju Sono

In this paper, we estimate the proportion of zeros of Dirichlet $L$ -functions on the critical line. Using Feng's mollifier and an asymptotic formula for the mean square of Dirichle…

The second moment of Dirichlet twists of a GL4​ automorphic L-function

Zeros of Dirichlet L-functions on the critical line

The second moment of Dirichlet twists of a $GL_{4}$ automorphic $L$ -function

Zeros of Dirichlet $L$ -functions on the critical line