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Yu-Ru Liu

2009-05-19
15:00:00 - 15:50:00

Waring's problem in function fields

101 , Mathematics Research Center Building (ori. New Math. Bldg.)

Let Fq[t] be the ring of polynomials over the finite field Fq. In this talk, we will discuss a generalization of Vinogradov's mean value theorem in Fq[t]. We will apply our result to obtain an upper bound for ~Gq(k), which is the least integer s such that for every polynomial in Fq[t] of sufficiently large degree, the expected asymptotic formula in Waring's problem holds. This is a joint work with Trevor Wooley.