On sequences of positive integers having no $p$ terms in arithmetic progression
Number Theory
2007-05-23 v1
Abstract
We use topological ideas to show that, assuming the conjecture of Erd\"(o)s on subsets of positive integers having no terms in arithmetic progression (A. P.), there must exist a subset of positive integers with no terms in A. P. with the property that among all such subsets, maximizes the sum of the reciprocals of its elements.
Cite
@article{arxiv.math/0703467,
title = {On sequences of positive integers having no $p$ terms in arithmetic progression},
author = {Goutam Pal},
journal= {arXiv preprint arXiv:math/0703467},
year = {2007}
}