CSUN Algebra, Number Theory, and Discrete Mathematics Seminar

Small representations of integers by integral quadratic forms

Lenny Fukshansky
Claremont McKenna College

Wednesday    14 November 2018    2:00 pm–3:00 pm
Sierra Hall 182

Given an isotropic integral quadratic form which assumes a value t, we investigate the distribution of integer points at which this values is assumed. Building on the previous work about the distribution of small-height zeros of quadratic forms, we produce bounds on height of points outside of some algebraic sets in a quadratic space at which the form assumes the value t. Our bounds on height are explicit in terms of the heights of the form, the space, the algebraic set and the value t. This is joint work with W. K. Chan.