52 citations · 61 across the 7 of their papers we have counts for
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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…
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…
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 , …
A Generalization of Fibonacci Far-Difference Representations and Gaussian Behavior
Philippe Demontigny, Thao Do, Archit Kulkarni +2
A natural generalization of base B expansions is Zeckendorf's Theorem: every integer can be uniquely written as a sum of non-consecutive Fibonacci numbers , with $F_{n+1}…