# Discrete CATS Seminar

Date:

11/19/2018 - 2:00pm

Location:

745 Patterson Office Tower

Speaker(s) / Presenter(s):

Fernando Shao, U Kentucky

Speaker: Fernando Shao, U Kentucky

Title Maximizing the number of solutions to a linear equation

Abstract: When two numbers are added in base 10, what's the chance that a carry occurs? Questions like this motivates the study of maximizing/minimizing the number of solutions to a linear equation, such as x+y=z, with the variables lying in a set of given size N. Some of these questions are easy (i.e. challenge problems for high school students), but some others are hard (i.e. open). I will discuss problems from both categories. Based on joint work with P. Diaconis and K. Soundararajan.

Type of Event (for grouping events):