Abstract
We use Levinson's method and the work of Blomer and Harcos on the GL2 shifted convolution problem to prove that at least 6.96 % of the nontrivial zeros of the L-function of a GL2 automorphic form lie on the critical line.
Original language | English (US) |
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Pages (from-to) | 477-491 |
Number of pages | 15 |
Journal | Forum Mathematicum |
Volume | 33 |
Issue number | 2 |
DOIs | |
State | Published - Mar 1 2021 |
Keywords
- Automorphic L-function
- Critical zeros
- Maaß form
- Shifted convolution sum
- Spectral decomposition
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics