Number Theory

    

On a Question Concerning the Littlewood Violations

Authors: John Smith

Riemann's prime-counting function R(x) looks good for every value of x we can compute, but in the light of Littlewood's result its superiority over li(x) is illusory: Ingram (1938) pointed out that 'for special values of x (as large as we please), the one approximation will deviate as widely as the other from the true value'. This note introduces a type of prime-counting function that is always better than li(x)...

Comments: 19 Pages.

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[v1] 2016-10-24 00:02:00

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