On the Number of Combinations Generating a Sum
Pathikrit Basu *
20128 White Cloud Circle, West Linn, Oregon, 97068, United States.
*Author to whom correspondence should be addressed.
Abstract
We present some elementary arguments that are applicable to problems in additive combinatorics. In particular, we study the problem of multiple pairs generating the same sum, establishing a general result in the context of an ordered group.
Keywords: Additive combinatorics, number theory, groups