PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Robert Vaughan.

Title:Improvements and Extensons of Two Theorems of Sarkozy
Seminar:Algebra and Number Theory Seminar
Speaker:Alex Rice, Bucknell University
Abstract:
In a series of papers in the late 1970s, Sarkozy employed the circle method to answer questions of Lovasz and Erdos, the qualitative versions of which state that any set of natural numbers of positive upper density necessarily contains two distinct elements which differ by a perfect square, as well as two elements which differ by one less than a prime number. Here we discuss quantitative improvements and extensions of these theorems, including my thesis work and joint work with Mariah Hamel and Neil Lyall.

Room Reservation Information

Room Number:MB106
Date:11 / 01 / 2012
Time:11:15am - 12:05pm