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arXiv · 2004.03581

Zeros of $\mathrm{GL}_2$ $L$-functions on the critical line

Nickolas Andersen·Jesse Thorner
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Abstract

We use Levinson's method and the work of Blomer and Harcos on the $\mathrm{GL}_2$ shifted convolution problem to prove that at least 6.96% of the zeros of the L-function of any holomorphic or Maass cusp form lie on the critical line.

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Nickolas Andersen, Jesse Thorner. 2020-04-07. Zeros of $\mathrm{GL}_2$ $L$-functions on the critical line. https://doi.org/10.1515/forum-2020-0104

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