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The Multiplication table for Smooth integers

Number Theory 2017-07-31 v1

Abstract

The Erd\H{o}s multiplication table problem asks what is the number of distinct integers appearing in the N×NN\times N multiplication table. The order of magnitude of this quantity was determined by Ford in 2008. In this paper we study the number of yy-smooth entries of the N×NN\times N multiplication table that is to say entries with no prime factors greater than yy.

Keywords

Cite

@article{arxiv.1707.09048,
  title  = {The Multiplication table for Smooth integers},
  author = {Marzieh Mehdizadeh},
  journal= {arXiv preprint arXiv:1707.09048},
  year   = {2017}
}
R2 v1 2026-06-22T20:59:38.349Z