arXiv subjects

Andrew Echezabal

Publications and source records attributed to Andrew Echezabal.

2 recordsLinked to original sources

arXiv2024

Egyptian fractions meet the Sierpinski triangle

We explore a novel link between two seemingly disparate mathematical concepts: Egyptian fractions and fractals. By examining the decomposition of rationals into sums of distinct unit fractions, a practice rooted in ancient Egyptian mathematics, and the arithmetic operations that can be performed using this decomposition, we uncover fractal structures that emerge from these representations.

math.NT↗

arXiv2023

Approximating the divisor functions

We exploit the properties of a sequence of functions that approximate the divisor functions and combine them with an analytical formula of a delta-like sequence to give a new proof of a theorem of Gronwall on the asymptotic of the divisor functions.

math.NT↗