15 citations · 32 across the 13 of their papers we have counts for
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Computations about formal multiple zeta spaces defined by binary extended double shuffle relations
Tomoya Machide
The formal multiple zeta space we consider with a computer is an -vector space generated by formal symbols for a given weight , where the symbols satisfy…
Identity involving symmetric sums of regularized multiple zeta-star values
Tomoya Machide
An identity involving symmetric sums of regularized multiple zeta-star values of harmonic type was proved by Hoffman. In this paper, we prove an identity of shuffle type. We use Be…
Use of the generating function to generalize the sum formula for quadruple zeta values
Tomoya Machide
In the present paper, we prove an identity for the generating function of the quadruple zeta values. Taking homogeneous parts on both sides of the identity and substituting appropr…
Identities involving cyclic sums of regularized multiple zeta values each of depth less than
Tomoya Machide
In this paper, we give identities involving cyclic sums of regularized multiple zeta values of depth less than . As a corollary, we present two kinds of extensions of Hoffman's…
Congruence identities of regularized multiple zeta values involving a pair of index sets
Tomoya Machide
Riemann zeta values are generalized to multiple zeta values (MZVs) by use of nested sums, and MZVs are generalized to regularized multiple zeta values (RMZVs) by regularization of…
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…