Exact Summatory Functions for Prime $k$-tuples

Abstract

Exact summatory functions that count the number of prime $k$-tuples up to some cut-off integer are presented. Related $k$-tuple analogs of the first and second Chebyshev functions are then defined.

arXiv admin note: text overlap with arXiv:1307.0754

References in corpus (1)

• Evidence of a Gamma Distribution for Prime Powers

Cited by in corpus (2)

• A Gamma Distribution Hypothesis for Prime $k$-tuples
• On the infinitude of Prime $k$-tuples