New explicit representation for the prime counting function

EasyChair Preprint no. 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, prime-counting function, The Legendre formula

@Booklet{EasyChair:4396,
  author = {Mohammed Bouras},
  title = {New explicit representation for the prime counting function},
  howpublished = {EasyChair Preprint no. 4396},

  year = {EasyChair, 2020}}