Ober­sem­in­ar "Num­ber The­ory and Arith­met­ic­al Stat­ist­ics": Marc Tech­nau (UPB), The dis­tri­bu­tion of quad­rat­ic non-residues: A stroll through the garden

Location: A3.339
Organizer: Prof. Dr. Jürgen Klüners

Title: The distribution of quadratic non-residues: A stroll through the garden

Abstract: We shall have a stroll through the garden of classical results about the distribution quadratic (non-)residues modulo a prime with an emphasis on the methods involved.
We shall also stress the depressing state of the affairs pertaining to the distribution of quadratic non-residues in non-initial segments, highlighting work by Konyagin and Shaprlinski from 2015 which surmounts some — yet far from all — of the obstacles involved.