On a sum involving the prime counting function 1/4(x)

Aleksandar Ivic
2002 Publikacija Elektrotehnickog fakulteta - serija matematika  
An asymptotic formula for the sum of reciprocals of π(n) is derived, where π(x) is the number of primes not exceeding x. This result improves the previous results of De Koninck-Ivić and L. Panaitopol.
doi:10.2298/petf0213085i fatcat:ec3x5sczezhnxhh2rbnabxfrya