3 papers
math.NT2025
On Robin's Inequality and the Kaneko-Lagarias Inequality
Idris Assani, Aiden Chester, Alex Paschal
We provide new, elementary proofs that Robin's inequality and the Lagarias inequality hold for almost every number, including all numbers not divisible by one of the prime numbers…
math.DS2024
A remark on "A non-singular dynamical system without maximal ergodic inequality" by E. H. El Abdalaoui"
Idris Assani
In this note we would like to correct a comment made by E.H. El Abdaloui about my work [arXiv:1312:5270].
math.DS2023
On the Convergence of the Density of Terras' Set
Idris Assani, Ethan Ebbighausen
The Collatz Conjecture's connection to dynamical systems opens it to a variety of techniques aimed at recurrence and density results. First, we turn to density results and strength…