English

A Generalized Numeration Base

General Mathematics 2007-05-23 v1

Abstract

A Generalized Numeration Base is defined in this paper, and then particular cases are presented, such as Prime Base, Square Base, m-Power Base, Factorial Base, and operations in these bases. These bases are important for partitions of integers into primes, squares, cubes, generally into m-powers, also into factorials, and into any strictly increasing sequence.

Keywords

Cite

@article{arxiv.math/0010158,
  title  = {A Generalized Numeration Base},
  author = {Florentin Smarandache},
  journal= {arXiv preprint arXiv:math/0010158},
  year   = {2007}
}

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6 pages