Sums of powers of almost equal primes
Speaker:
Angel Kumchev, Towson University
Date and Time:
Friday, March 17, 2017 - 9:30am to 10:00am
Location:
Fields Institute, Room 230
Abstract:
I will review some recent results on the Waring-Goldbach problem with almost equal summands. Let k≥2 and s be positive integers, and let n be a large positive integer subject to certain local conditions. Work by Wei and Wooley and by Huang established that if s≥k2+k+1 and θ>19/24, then n can be expressed as a sum pk1+⋯+pks, where p1,…,ps are primes with |pj−(n/s)1/k|≤nθ/k. In a recent joint work with Huafeng Liu, we extend the range of θ in this result to θ>31/40. I will outline the main ideas involved in the proofs of these theorems.