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Sharper bounds for the Chebyshev functions 𝜃(𝑥) and 𝜓(𝑥). II
Lowell Schoenfeld
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Source: Crossref
Published: Jan 1, 1976
DOI: 10.1090/s0025-5718-1976-0457374-x
Open original source ↗Source abstract
In this paper, bounds given in the first part of the paper are strengthened. In addition, it is shown that the interval ( x , x + x / 16597 ) (x,x + x/16597) contains a prime for all x ⩾ 2 , 010 , 760 x \geqslant 2,010,760 ; and explicit bounds for the Chebyshev functions are given under the assumption of the Riemann hypothesis.
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