Speaker：Lilu Zhao （Shandong University）

Time：2021-11-18 16:30:00

Location：Tencent Meeting ID：823 110 515（No Password）

Abstract:

In this talk,  we consider the expressions of large integers $n$ as sums of unlike powers  $$n=x_1^2+\cdots+x_s^{s+1}.$$  We shall explain how to solve the above equation in $s=13$ variables, and therefore improve the record held by Kevin Ford. The proof involves the circle method and the large sieve inequality. This talk is based on a joint work with J. Liu.