Jean-Marc Deshouillers

The first introductory lecture may be followed as a colloquium talk, independent of the subsequent lectures. Lectures 1 and 2 are independent. Lectures 3 and 4 are independent, but each of them depends on Lecture 2. The lectures will be completed by...

We shall place in a general context the following result recently (*) obtained jointly with Yuri Bilu (Bordeaux), Sanoli Gun (Chennai) and Florian Luca (Johannesburg). Theorem. Let τ(⋅) be the classical Ramanujan τ-function and let k be a positive...