52 citations · 52 across the 3 of their papers we have counts for
3 papers
math.NT2014
Sets Characterized by Missing Sums and Differences in Dilating Polytopes
Thao Do, Archit Kulkarni, Steven J. Miller +3
A sum-dominant set is a finite set of integers such that . As a typical pair of elements contributes one sum and two differences, we expect sum-dominant sets to…
math.NT2014
Sums and differences of correlated random sets
Thao Do, Archit Kulkarni, Steven J. Miller +2
Many fundamental questions in additive number theory (such as Goldbach's conjecture, Fermat's last theorem, and the Twin Primes conjecture) can be expressed in the language of sum…
math.NT2013★ 52 cited
Generalizing Zeckendorf's Theorem to f-decompositions
Philippe Demontigny, Thao Do, Archit Kulkarni +3
A beautiful theorem of Zeckendorf states that every positive integer can be uniquely decomposed as a sum of non-consecutive Fibonacci numbers , where , …