English

Exact Summatory Functions for Prime $k$-tuples

Number Theory 2014-06-24 v1

Abstract

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

Keywords

Cite

@article{arxiv.1406.5533,
  title  = {Exact Summatory Functions for Prime $k$-tuples},
  author = {J. LaChapelle},
  journal= {arXiv preprint arXiv:1406.5533},
  year   = {2014}
}

Comments

arXiv admin note: text overlap with arXiv:1307.0754

R2 v1 2026-06-22T04:43:44.774Z