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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.NT2011
An Elliptic Analogue Of Generalized Cotangent Dirichlet Series And Its Transformation Formulae At Some Integer Arguments
T. Machide
B.C. Berndt evaluated special values of the cotangent Dirichlet series. T. Arakawa studied a generalization of the series, or generalized cotangent Dirichlet series, and gave its t…