On the Densities of (M1, M2, M3..........)-Free Integers

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Authors

  • Department of Mathematics, Osmania University, Hyderabad-500 007 ,IN
  • Department of Mathematics, Osmania University, Hyderabad-500 007 ,IN

Abstract

Throughout this paper {p1} denotes the sequence of primes in increasing order. That is, P1 = 2, P2 = 3, P3 = 5,...... For each p1 we associate a set M1 of natural numbers with minimal element r, where r > 1. It is well-known that every integer m > 1 can be written uniquely as

                      m = Ï€ P1a1

where all but a finite a1 are zero.

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Published

1994-12-01

How to Cite

Siva Rama Prasad, V., & Bhramarambica, M. V. S. (1994). On the Densities of (M<sub>1</sub>, M<sub>2</sub>, M<sub>3</sub>.)-Free Integers. The Journal of the Indian Mathematical Society, 60(1-4), 221–223. Retrieved from https://informaticsjournals.com/index.php/jims/article/view/21992