Amanda Bower

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20122022

most citedThe Average Gap Distribution for Generalized Zeckendorf Decompositions

26 citations · 32 across the 4 of their papers we have counts for

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math.NT2012★ 1 cited

Coordinate sum and difference sets of $d$ -dimensional modular hyperbolas

Amanda Bower, Ron Evans, Victor Luo +1

Many problems in additive number theory, such as Fermat's last theorem and the twin prime conjecture, can be understood by examining sums or differences of a set with itself. A fin…

math.NT2012★ 26 cited

The Average Gap Distribution for Generalized Zeckendorf Decompositions

Olivia Beckwith, Amanda Bower, Louis Gaudet +4

An interesting characterization of the Fibonacci numbers is that, if we write them as $F_{1} = 1$ , $F_{2} = 2$ , $F_{3} = 3$ , $F_{4} = 5, ...$ , then every positive integer can be written un…

Coordinate sum and difference sets of d-dimensional modular hyperbolas

The Average Gap Distribution for Generalized Zeckendorf Decompositions

Coordinate sum and difference sets of $d$ -dimensional modular hyperbolas