Abstract
We prove an analogue of Selberg's zero density estimate for ζ (s) that holds for any GL2 L-function. We use this estimate to study the distribution of the vector of fractional parts of γ α, where α ∈ Rn is fixed and γ varies over the imaginary parts of the nontrivial zeros of a GL2 L-function.
Original language | English (US) |
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Pages (from-to) | 605-630 |
Number of pages | 26 |
Journal | Mathematical Proceedings of the Cambridge Philosophical Society |
Volume | 174 |
Issue number | 3 |
DOIs | |
State | Published - May 28 2023 |
Keywords
- 11M41
ASJC Scopus subject areas
- General Mathematics