Jérémy Champagne, Department of Pure Mathematics, University of Waterloo
"Interesting results in equidistribution theory"
An infinite sequence is equidistributed in an interval if the "proportion" of its points lying in any given sub-interval corresponds roughly to the length of the sub-interval. In a sense, this can be regarded as an "almost randomness" property, and sometimes shows up naturally in analytic number theory.
In this talk, we will cover some fairly simple criteria to establish equidistribution (modulo one) for sequences of the form {f(n)}_n∈N, with f being "reasonably" nice. Given time, we will also cover some similar results for equidistribution when working with function fields in finite characteristic.
This seminar will be held jointly online and in person:
- Room: MC 5417
- Zoom information: https://uwaterloo.zoom.us/j/94981169066?pwd=d2M1SE1qV3VCRk14WlRUaDI5WTdJZz09