Note on Prime Gaps and Zero Spacings

Abstract

The article focuses on the problems of prime gaps and zero spacings. Possible solutions of several related problems such as the greatest lower bound, the least upper bound of the zero spacings, and the least upper bound of the prime gaps are considered.

Keywords: Prime gaps, Zero spacings, Zeta function, Pair correlation conjecture, 16 Pages. Refinements of the proofs and graphics

References in corpus (5)

• On some reasons for doubting the Riemann hypothesis
• Sampling the Lindelöf Hypothesis with the Cauchy Random Walk
• Primes in Tuples II
• Differentiation Evens Out Zero Spacings
• Zero Spacing Distributions for Differenced L-Functions

Cited by in corpus (2)

• Note On Prime Gaps And Very Short Intervals
• Simple Zeros Of The Zeta Function