- Series
- Combinatorics Seminar
- Time
- Friday, March 8, 2013 - 3:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Prof. Derrick Hart – Kansas State University
- Organizer
- Ernie Croot
Let A be a multiplicative subgroup of Z_p^*. Define the k-fold
sumset of A to be kA={x_1+...+x_k:x_1,...,x_k in A}. Recently, Shkredov
has shown that |2A| >> |A|^(8/5-\epsilon) for |A| < p^(9/17). In this talk we
will discuss extending this result to hold for |A| < p^(5/9). In addition,
we will show that 6A contains Z_p^* for |A| > p^(33/71 +\epsilon).