Finiteness results for regular inhomogeneous quadratic forms in three variables

03/11/2014 - 12:15pm
03/11/2014 - 1:10pm
Wai Kiu Chan (Wesleyan University)

A positive definite integral quadratic form is called regular if it represents all positive integers that cannot be ruled out by congruence conditions. G.L. Watson (1957) proved that there are only finitely many equivalence classes of positive definite regular quadratic forms in three variables. In this talk, I will describe some recent efforts by me and by various authors to extend Watson's finiteness result to inhomogeneous quadratic forms in three variables.

Mudd Science Library 126, Pomona College

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