Number/Representation Theory

Event Information Forms in many variables: an iterative approach
14:10 on Wednesday November 29, 2017
15:00 on Wednesday November 29, 2017
BA6183, Bahen Center, 40 St. George St.
Simon Myerson

University College London

The circle method can be used to estimate the number of integral solutions of bounded size to a system of Diophantine equations, provided the number of variables is sufficiently large. When the equations are diagonal, such results typically rely on inductive arguments which repeatedly pass from the mean value of an exponential sum to the number of solutions to some system of equations and thence to a further mean value for a different exponential sum. I will discuss an approach of this type for non-diagonal equations.