The cyclic insertion conjecture of Borwein, Bradley, Broadhurst and Lison\v{ e}k states that inserting all cyclic shifts of some fixed blocks of 2's into the multiple zeta value { \zeta}(1,3,...,1,3) gives an explicit rational multiple of a power of { \pi}. In this paper we use motivic multiple zeta values to establish a non-explicit symmetric insertion result: inserting all possible permutations of some fixed blocks of 2's into { \zeta}(1,3,...,1,3) gives some rational multiple of a power of { \pi}.
Categories: math.NT