The Prime Number Theorem and Pair Correlation of Zeros of the Riemann Zeta-Function

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.

Podrobná bibliografia

Vydané v:	arXiv.org
Hlavní autori:	Goldston, D A, Ade, Irma Suriajaya
Médium:	Paper
Jazyk:	English
Vydavateľské údaje:	Ithaca Cornell University Library, arXiv.org 20.12.2022
Predmet:	Prime numbers Theorems
ISSN:	2331-8422
On-line prístup:	Získať plný text
Tagy:	Pridať tag Žiadne tagy, Buďte prvý, kto otaguje tento záznam!