Submitted:
24 December 2021
Posted:
27 December 2021
You are already at the latest version
Abstract
In this paper, we give explicit asymptotic formulas for some sums over primes involving generalized alternating hyperharmonic numbers of types I, II and III. Analogous results for numbers with $k$-prime factors will also be considered.
Keywords:
sums over primes
; generalized alternating hyperharmonic numbers
; asymptotic formula
; numbers with $k$-prime factors
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
