Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

# Sums Over Primes II

Version 1 : Received: 24 December 2021 / Approved: 27 December 2021 / Online: 27 December 2021 (11:10:43 CET)

How to cite: Li, R. Sums Over Primes II. Preprints 2021, 2021120423 (doi: 10.20944/preprints202112.0423.v1). Li, R. Sums Over Primes II. Preprints 2021, 2021120423 (doi: 10.20944/preprints202112.0423.v1).

## 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

## Subject

MATHEMATICS & COMPUTER SCIENCE, Algebra & Number Theory

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