3 papers
math.NT2026
Integral Representations for Multiple Apéry-Like Series
Jorge Antonio González Layja
We derive integral representations for six families of multiple Apéry-like series using repeated integration by parts and Fourier expansions. The resulting formulas are expressed…
math.NT2026
On the Evaluation of Apéry-Like Series Involving Multiple -Harmonic Star Sums
Jorge Antonio González Layja
We evaluate, by elementary means, a new family of Apéry-like series involving multiple -harmonic star sums of even weight. Using trigonometric expansions, inverse tangent integ…
math.NT2026
Closed-Form Evaluation of Two Apéry-Like Series of Weight 4
Jorge Antonio González Layja
This paper presents closed-form evaluations of two new Apéry-like series of weight that involve harmonic numbers of the form . Several key results are derived and subs…