Number Theory Seminar

Date: April 3, 2019

Time: 1:45PM - 2:45PM

Location: BLOC 220

Speaker: Wei-Cheng Huang, Texas A&M University

Title: A t-motivic interpretation of shuffle relations for multizeta values

Abstract: Thakur showed that a product of two Carlitz zeta values, with weights r and s, can be expressed as an F_p-linear combination of single and double zeta values of weight equal to r+s where F_p is the finite field of p elements and p is a prime number. Such an expression is called shuffle relation by Thakur. Fixing positive integers r, s, we construct a t-module E. To determine whether an (r+s)-tuple C in F_q(\theta)^{r+s} gives a shuffle relation, we relate it to the F_q[t]-torsion property of the integral point v_C in the t-module constructed with respect to the given (r+s)-tuple C. We also provide an effective criterion for deciding the F_q[t]-torsion property of the point v_C.

URL: Link