Colloquium: Tuesday, December 20, 2 pm. Speaker: Edva Roditty-Gershon (Bristol). Title: “Arithmetic statistics in function fields”.


In the talk I will discuss classical problems concerning the distribution of square-full numbers and their analogues over function fields. The results described are  in the context of the ring Fq[T] of polynomials over a finite field Fq of q elements, in the limit q → ∞.

I will also present some recent generalization of these kind of classical problems.