Gaps Between Zeros of Automorphic L-functions for GL(2)
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Heng Cai TANG
Author information+
School of Mathematics and Statistics, Henan University, Kaifeng 475004, P. R. China
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History+
Received
Revised
Published
2020-10-26
2021-01-29
2022-03-15
Issue Date
2022-04-15
Abstract
Let f(z) be a holomorphic Hecke eigenform of even weight k for the full modular group. L(s, f) is the automorphic L-function associated of f. By the smooth shifted second moment of L(s, f), it is proved that there exist infinitely many consecutive zeros of L(s, f) on the critical line whose gaps are greater than 1.88 times of the averaging spacing.
Heng Cai TANG.
Gaps Between Zeros of Automorphic L-functions for GL(2). Acta Mathematica Sinica, Chinese Series, 2022, 65(2): 275-286 https://doi.org/10.12386/A2022sxxb0021
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References
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