Tuesday, September 17, 2019

Tuesday, September 17, 2019 — 1:30 PM EDT

J.C. Saunders, Ben Gurion University of Negev

"Diophantine equations involving the Euler totient function"

We deal with various Diophantine equations involving the Euler totient function. In particular, for $a,b,c,m,n\in\mathbb{N}$ with $m\geq 2$ we study the equations $\varphi(ax^m)=\frac{b\cdot n!}{c}$ and $\varphi\left(\frac{b\cdot n!}{c}\right)=ax^m$ where $\varphi(x)$ is the Euler totient function. We also deal with similar equations involving Lucas sequences of the first kind and second kind, generalising the work of Luca and Stanica.

Tuesday, September 17, 2019 — 2:00 PM EDT

Dino Rossegger, Department of Pure Mathematics, University of Waterloo

"The complexity of Scott sentences of scattered linear orders"

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