On the solutions of $\varphi(dn) = \varphi(d(n+h))$
Johann Christian Stumpenhusen
TL;DR
This paper discusses solutions to the equation involving Euler's totient function for related arguments, exploring a conjecture by Erdős as addressed in Ford's work, with insights from the author's bachelor thesis.
Contribution
It provides an analysis of solutions to a specific totient equation related to Erdős's conjecture, building on Ford's research and the author's thesis.
Findings
Identifies conditions for solutions to the totient equation.
Connects the problem to Erdős's conjecture.
Offers new perspectives based on the author's thesis.
Abstract
This is a short note about a chapter in the author's bachelor thesis regarding a paper by Ford concerning a conjecture by Erd\H{o}s.
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Taxonomy
TopicsAnalytic Number Theory Research