Angel Kumchev

Affiliation: University of Texas at Austin

Email: kumchev@math.utexas.edu

Title Of Talk: Exceptional sets in the Waring-Goldbach problem

URL: http://www.math.utexas.edu/~kumchev

Abstract: I will give a brief survey of recent improvements on the classical bounds for cardinalities of exceptional sets in the Waring-Goldbach problem. A typical example is the following result: The number of integers $n \leq X$ such that $n \equiv 4 (mod 24)$ and $n$ cannot be represented as the sum of four squares of primes is $O(X^{5/14 + \epsilon)$.


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