Robert Vaughan

Affiliation: Pennsylvania State University

Email: rcv4@psu.edu

Title Of Talk: THE ASYMPTOTIC FORMULA IN WARING'S PROBLEM: HIGHER ORDER EXPANSIONS

Abstract: When k > 1 and s is sufficiently large in terms of k, we derive an explicit multi-term asymptotic expansion for the number of representations of a large natural number as the sum of s positive integral kth powers.


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