Joel Louwsma

activity

20102026

most citedDigital Fixed Points, Approximate Fixed Points, and Universal Functions

30 citations · 58 across the 12 of their papers we have counts for

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3 papers · 1 filter

math.NT2024

On solutions of $\sum_{i = 1}^{n} 1/ x_{i} = 1$ in integers of the form $2^{a} k^{b}$

Joel Louwsma

We give an algorithm that produces all solutions of the equation $\sum_{i = 1}^{n} 1/ x_{i} = 1$ in integers of the form $2^{a} k^{b}$ , where $k$ is a fixed positive integer that is not a pow…

math.NT2023

Rational numbers with odd greedy expansion of fixed length

Joel Louwsma, Joseph Martino

Given a positive rational number $n / d$ with $d$ odd, its odd greedy expansion starts with the largest odd denominator unit fraction at most $n / d$ , adds the largest odd denominator…

math.NT2019★ 3 cited

On Arithmetical Structures on Complete Graphs

Zachary Harris, Joel Louwsma

An arithmetical structure on the complete graph $K_{n}$ with $n$ vertices is given by a collection of $n$ positive integers with no common factor each of which divides their sum. We…

On solutions of ∑i=1n​1/xi​=1 in integers of the form 2akb

Rational numbers with odd greedy expansion of fixed length

On Arithmetical Structures on Complete Graphs

On solutions of $\sum_{i = 1}^{n} 1/ x_{i} = 1$ in integers of the form $2^{a} k^{b}$