Density of positive diagonal binary quadratic forms.

Algebra and Number Theory Seminar

Meeting Details

For more information about this meeting, contact Kendra Stauffer, Robert Vaughan, Mihran Papikian, Ae Ja Yee, Kirsten Eisentraeger, Jack Huizenga.

Speaker: Robert Vaughan, Penn State

Abstract: We are concerned with which $n$ which can be represented in the form $x^2+zy^2=n$ where $z$ is generally small compared with the size of $n$. We show that almost all $n$ have such a representation with $z<(\log n) (\log\log n)^{3+\delta}$ and that a positive proportion do with $z\ll (\log n)(\log\log n)$. This is joint work with Brandon Hanson.

Room Reservation Information

Room Number: 116 Osmond

Date: 08/31/2017

Time: 11:00am - 11:50am