Courses / ActivitiesWaring's problem in function fields
82
reads
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.
reads
Yu-Ru Liu
2009-05-19
15:00:00 - 15:50:00
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.