15 citations · 32 across the 13 of their papers we have counts for
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math.NT2012★ 1 cited
A parameterized generalization of the sum formula for quadruple zeta values
Tomoya Machide
We give a parameterized generalization of the sum formula for quadruple zeta values. The generalization has four parameters, and is invariant under a cyclic group of order four. By…
math.NT2012★ 3 cited
Some restricted sum formulas for double zeta values
Tomoya Machide
We give some restricted sum formulas for double zeta values whose arguments satisfy certain congruence conditions modulo 2 or 6, and also give an application to identities showed b…
math.NT2012★ 15 cited
Extended double shuffle relations and the generating function of triple zeta values of any fixed weight
Tomoya Machide
Extended double shuffle relations for multiple zeta values are obtained by the fact that any product of regularized multiple zeta values has two different representations, and the…