On the Riemann hypothesis and the difference between primes

@article{Dudek2014OnTR,
  title={On the Riemann hypothesis and the difference between primes},
  author={A. Dudek},
  journal={International Journal of Number Theory},
  year={2014},
  volume={11},
  pages={771-778}
}
  • A. Dudek
  • Published 2014
  • Mathematics
  • International Journal of Number Theory
We prove some results concerning the distribution of primes assuming the Riemann hypothesis. First, we prove the explicit result that there exists a prime in the interval $(x-\frac{4}{\pi} \sqrt{x}... 
Primes in explicit short intervals on RH
A Conditional Explicit Result for the Prime Number Theorem in Short Intervals
Fourier optimization and prime gaps
Explicit Estimates in the Theory of Prime Numbers
Almost-Ramanujan graphs and prime gaps
  • A. Dudek
  • Computer Science, Mathematics
  • Eur. J. Comb.
  • 2015
...
1
2
...

References

SHOWING 1-10 OF 15 REFERENCES
An improved upper bound for the argument of the Riemann zeta-function on the critical line
  • T. Trudgian
  • Mathematics, Computer Science
  • Math. Comput.
  • 2012
The distribution of prime numbers
Short effective intervals containing primes
Multiplicative Number Theory
On the Difference (x)--li(x) (I)
On a result of Littlewood concerning prime numbers
Sur la distribution des nombres premiers
Some Theorems Concerning Prime Numbers
...
1
2
...