Primes in explicit short intervals on RH (Q2810682)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Primes in explicit short intervals on RH |
scientific article; zbMATH DE number 6589284
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Primes in explicit short intervals on RH |
scientific article; zbMATH DE number 6589284 |
Statements
Primes in explicit short intervals on RH (English)
0 references
3 June 2016
0 references
primes
0 references
short intervals
0 references
Riemann hypothesis
0 references
0 references
0.9307671
0 references
0 references
0.92236304
0 references
0.91899985
0 references
The authors prove the following theorem: Assume the Riemann hypothesis. Let \(x\geq 2\) and let \(c:=\frac1{2}+\frac{2}{\log x}\). Then there is a prime in the interval \((x-c\sqrt{x} \log x,x+c\sqrt{x} \log x)\) and there are at least \(\sqrt{x}\) primes in \((x-(c+1)\sqrt{x} \log x,x+(c+1)\sqrt{x} \log x)\).
0 references
