Number Theory

    

Short Effective Intervals Containing Primes and a Property of the Riemann Zeta Function ζ(1/2+it)

Authors: Kang-Ho Kim

In this paper, we prove the existence of primes in the interval ]x,x+2√x] by inducing an inequality which defines the lower bound of number of primes in the interval ]x,x+2√x] and suggest an opinion for truth of the Lindelöf hypothesis based on the existence of primes in the interval ]x,x+2√x] with the success of Ingham’s preceded work.

Comments: 10 Pages.

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Submission history

[v1] 2021-11-02 04:23:11

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