Number Theory Seminar: Counting arithmetic progressions in sums of squares
- Date: 11/26/2009
University of British Columbia
We show how the method of Green and Tao can be used to obtain the correct order of magnitude for the number of k-term arithmetic progressions in the integers representable as the sum of two squares, with a similar Roth-like theorem for subsets of positive relative density. We'll discuss the possibility of sharpening this to an asymptotic formula.
3:25pm-3:50pm, WMAX 110
Followed by refreshments at 3:50pm