English

An Analytical Approach to Exponent-Restricted Multiple Counting Sequences

Number Theory 2019-01-07 v1

Abstract

This study involves definitions for multiple-counting regular and summation sequences of rho. My paper introduces and proves recurrent relationships for multiple-counting sequences and shows their association with Fermat's little theorem. I also studied matrix representations and obtained generalized Binet formulas for defined sequences. As a result of multiple-counting sequence explanation, this study leads to a better understanding for distribution of composite numbers between consecutive bases.

Keywords

Cite

@article{arxiv.1412.3265,
  title  = {An Analytical Approach to Exponent-Restricted Multiple Counting Sequences},
  author = {Muhammed Hüsrev Cilasun},
  journal= {arXiv preprint arXiv:1412.3265},
  year   = {2019}
}
R2 v1 2026-06-22T07:26:20.040Z