Weighted sums of multiple t-values and t-star values at even arguments reduce to finite sums of ζ(2l)t(2k-2l) terms with polynomial coefficients.
Some relations deduced from regularized double shuffle relations of multiple zeta values
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
It is conjectured that the regularized double shuffle relations give all algebraic relations among the multiple zeta values, and hence all other algebraic relations should be deduced from the regularized double shuffle relations. In this paper, we provide as many as the relations which can be derived from the regularized double shuffle relations, for example, the weighted sum formula of L. Guo and B. Xie, some evaluation formulas with even arguments and the restricted sum formulas of M. E. Hoffman and their generalizations.
fields
math.NT 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Weighted sum formulas of multiple t-values with even arguments
Weighted sums of multiple t-values and t-star values at even arguments reduce to finite sums of ζ(2l)t(2k-2l) terms with polynomial coefficients.