Representations of positive integers as sums of arithmetic progressions, I
Representations of positive integers as sums of arithmetic progressions, I
This is the first part of a two-part paper. Our paper was motivated by two classical papers: A paper of Sir Charles Wheatstone published in 1844 on representing certain powers of an integer as sums of arithmetic progressions and a paper of J. J. Sylvester published in 1882 for determining …