Abstract
We prove that the error in the prime number theorem can be quantitatively improved beyond the Riemann Hypothesis bound by using versions of Montgomery’s conjecture for the pair correlation of zeros of the Riemann zeta-function which are uniform in long ranges and with suitable error terms.
Original language | English |
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Article number | 71 |
Journal | Research in Number Theory |
Volume | 8 |
Issue number | 4 |
DOIs | |
Publication status | Published - Dec 2022 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory