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Philadelphia Area Number Theory Seminar

Wednesday, October 11, 2017 - 2:15pm

Alicia Marino

University of Hartford


Bryn Mawr College

Park Science Building, Room 337

Talk scheduled to begin at 2:40 PM. Tea and refreshments at 2:20 PM in Park Science Building, Room 339.

An integral quadratic form is said to be strictly k-regular if it primitively represents all quadratic forms of k variables that are primitively represented by its genus. We show that, for k > 1, there are finitely many inequivalent positive definite primitive integral quadratic forms of k + 4 variables that are strictly k-regular. This joint work with W.K. Chan extends a recent finiteness result of Andrew Earnest et al. (2014) on strictly regular quadratic forms of 4 variables.