For positive integers alpha(1), alpha(2), ... , alpha(r) with alpha(r) >= 2, the multiple zeta value or r-fold Euler sum is defined as [2] [GRAPHICS] There is a celebrated sum formula [6, 10] among multiple zeta values as [GRAPHICS] where alpha(1), alpha(2), ... , alpha(r) range over all positive integers with vertical bar alpha vertical bar = alpha(1) + alpha(2) + ... + alpha(r) = m in the summation. In this paper, we shall prove the so called restricted sum formula [ 4]. Namely, for all positive integers m and q with m >= q and a nonnegative integer p, that [GRAPHICS] We prove the assertion by new expressions of multiple zeta values in terms of Drinfeld integrals.
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