3 papers
math.NT2026
A Note on Diophantine Approximation with Restricted Denominators
Chance Sanford
In this note we explore rational approximations to irrational numbers whose denominators are restricted to a subset of the natural numbers. We introduce a specific notion of densit…
math.NT2024
A Dilogarithm Series and a Generalization of a Theorem of Bridgeman
Chance Sanford
Using Abel's five-term relation, we derive a new two-parameter series identity for the Rogers dilogarithm. By specializing this identity, we obtain dilogarithm series involving Luc…
math.NT2016
Infinite Series Involving Fibonacci Numbers Via Apéry-Like Formulae
Chance Sanford
In this note, infinite series involving Fibonacci and Lucas numbers are derived by employing formulae similar to that which Roger Apéry utilized in his seminal paper proving the ir…