New explicit representation for the prime counting function

EasyChair Preprint 4396

Abstract

In this paper, we present a new representation for the prime counting function, it  is similar of  the Legendre formula for a=1.08633,,,  and  the gauss formula for a=0 .

Keyphrases: Prime number, The Legendre formula, prime-counting function

@booklet{EasyChair:4396,
  author    = {Mohammed Bouras},
  title     = {New explicit representation for the prime counting function},
  howpublished = {EasyChair Preprint 4396},
  year      = {EasyChair, 2020}}