Lethbridge Number Theory and Combinatorics Seminar: Kevin Henriot
- Date: 10/27/2014
- Time: 12:00
Lecturer(s):
Kevin Henriot, UBC
Location:
University of Lethbridge
Topic:
Linear equations in dense subsets of the squares
Description:
We discuss the solvability of certain linear equations in sparse subsets of the squares. Specifically, we investigate equations of the form \begin{align*} \lambda_1 n_1^2 + \dotsb + \lambda_s n_s^2 = 0, \end{align*} where $s \geq 7$ and the coefficients $\lambda_i$ sum to zero and satisfy certain sign conditions. We show that such equations admit non-trivial solutions in any subset of $[N]$ of density $(\log N)^{-c_s}$, improving upon the previous best of $(\log\log N)^{-c}$.
Other Information:
Location: B660 University Hall
Web page: http://www.cs.uleth.ca/~nathanng/ntcoseminar/
Web page: http://www.cs.uleth.ca/~nathanng/ntcoseminar/