Alternating multiple mixed values: regularization, special values, parity, and dimension conjectures (Q6634413)

scientific article; zbMATH DE number 7940211

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English	Alternating multiple mixed values: regularization, special values, parity, and dimension conjectures	scientific article; zbMATH DE number 7940211

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instance of

scholarly article

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title

Alternating multiple mixed values: regularization, special values, parity, and dimension conjectures (English)

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Indagationes Mathematicae. New Series

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publication date

7 November 2024

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zbMATH Keywords

(colored) multiple zeta values

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(alternating) multiple mixed values

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(alternating) multiple $S$-values

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(alternating) multiple $T$-values

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regularization

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duality

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parity

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MaRDI profile type

Publication

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cites work

Smithsonian mathematical formulae and tables of elliptic functions. Mathematical formulae prep. by E. P. Adams. Tables of elliptic functions prep. under the direction of Sir G. Greenhill by R. L. Hippisley. (Smithsonian miscellaneous collections, vol. 73, Nr. 1).

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Proof of Kaneko–Tsumura conjecture on triple T-values

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The multiple zeta value data mine

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On the evaluation of the alternating multiple $$ t $$ value $$ t({\overline{1}},\ldots ,{\overline{1}}, 1, {\overline{1}},\ldots ,{\overline{1}}) $$

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Iterated path integrals

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The unipotent motivic fundamental group of $\mathbf G_m - \mu_N$, for $N=2,3,4,6$ or $8$

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Groupes fondamentaux motiviques de Tate mixte

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Multiple harmonic series

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The algebra of multiple harmonic series

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An odd variant of multiple zeta values

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Derivation and double shuffle relations for multiple zeta values

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On multiple zeta values of level two

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A new integral-series identity of multiple zeta values and regularizations

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Unit cyclotomic multiple zeta values for $\mu_2, \mu_3$ and $\mu_4$

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Weighted sum formulas of multiple $t$-values with even arguments

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On Hoffman's $t$-values of maximal height and generators of multiple zeta values

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Generalized rational zeta series for ζ(2n) and ζ(2n+1)

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The parity theorem for multiple polylogarithms

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ON A WEIGHTED SUM OF MULTIPLE -VALUES OF FIXED WEIGHT AND DEPTH

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Dirichlet type extensions of Euler sums

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Variants of multiple zeta values with even and odd summation indices

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Alternating multiple $T$-values: weighted sums, duality, and dimension conjecture

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Double shuffle relations of double zeta values and the double Eisenstein series at level<i>N</i>

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Bachmann-Kühn's brackets and multiple zeta values at level $N$

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Q4324348

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Analytic continuation of multiple polylogarithms

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Multiple polylogarithm values at roots of unity

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On a conjecture of Borwein, Bradley and Broadhurst

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Standard relations of multiple polylogarithm values at roots of unity

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Sum formula of multiple Hurwitz-zeta values

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Multiple zeta functions, multiple polylogarithms and their special values

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.INDAG.2024.06.001

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Sitelinks

Mathematics(1 entry)

mardi Publication:6634413