Sequences, Series and Uniform distribution of SP Numbers

Raghavendra N. Bhat

Sequences, Series and Uniform distribution of SP Numbers

Number Theory 2024-12-11 v4

Authors: Raghavendra N. Bhat

Abstract

We defined numbers of the form $p\cdot a^2$ as SP numbers (Square-Prime numbers) ( $a\neq1$ , $p$ prime) in 'Distribution of Square-Prime Numbers' (arXiv:2109.10238). These numbers are listed in the OEIS as A228056. Some examples of SP numbers: $75=3 \cdot 25; 108=3 \cdot 36; 45= 5 \cdot 9$ . This paper explores sequences of these numbers, sequences between 0 and 1 related to these numbers and analyzes the distribution of some of these sequences.

Keywords

sp numbers square-prime numbers sequences series uniform distribution oeis a228056

Cite

@article{arxiv.2210.04622,
  title  = {Sequences, Series and Uniform distribution of SP Numbers},
  author = {Raghavendra N. Bhat},
  journal= {arXiv preprint arXiv:2210.04622},
  year   = {2024}
}

Comments

Re-uploaded after corrections. Paper is currently undergoing peer-review

Sequences, Series and Uniform distribution of SP Numbers

Abstract

Keywords

Cite

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