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Let $\mathbb{F}_q$ be the finite field of $q$ elements. In this paper, westudy the vanishing behavior of multizeta values over $\mathbb{F}_q[t]$ atnegative integers. These values are analogs of the classical multizeta values.At negative integers, they are series of products of power sums $S_d(k)$ whichare polynomials in $t$. By studying the $t$-valuation of $S_d(s)$ for $s < 0$,we show that multizeta values at negative integers vanish only at trivialzeros. The proof is inspired by the idea of Sheats in the proof of a statementof "greedy element" by Carlitz.

Vanishing of Multiple Zeta Values over $\mathbb{F}_q[t]$ at Negative Integers