Alternating multiple \(T\)-values: weighted sums, duality, and dimension conjecture
DOI10.1007/S11139-023-00782-6arXiv2009.10774WikidataQ122987387 ScholiaQ122987387MaRDI QIDQ6179883
No author found.
Publication date: 18 January 2024
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.10774
dualitymultiple zeta valuesweighted sum formulasTribonacci sequencealternating multiple \(T\)-valuesKaneko-Tsumura multiple \(T\)-values
(zeta (s)) and (L(s, chi)) (11M06) Polylogarithms and relations with (K)-theory (11G55) Hurwitz and Lerch zeta functions (11M35) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Multiple Dirichlet series and zeta functions and multizeta values (11M32)
Cites Work
- Unnamed Item
- Unnamed Item
- The parity theorem for multiple polylogarithms
- The unipotent motivic fundamental group of \(\mathbf G_m - \mu_N\), for \(N=2,3,4,6\) or \(8\)
- Some identities for multiple zeta values
- Weighted sum formulas of multiple \(t\)-values with even arguments
- Standard relations of multiple polylogarithm values at roots of unity
- Multiple harmonic series
- A new integral-series identity of multiple zeta values and regularizations
- On multiple zeta values of level two
- Variants of multiple zeta values with even and odd summation indices
- Some results on multiple polylogarithm functions and alternating multiple zeta values
- Zeta functions connecting multiple zeta values and poly-Bernoulli numbers
- Sum formula of multiple Hurwitz-zeta values
- An odd variant of multiple zeta values
- Some identities for multiple Hurwitz zeta values
- On restricted sum formulas for multiple zeta values with even arguments
- Weighted sum formulas of multiple zeta values with even arguments
- Parallel integer relation detection: Techniques and applications
- Multiple Zeta Functions, Multiple Polylogarithms and Their Special Values
- EXTENDED DOUBLE SHUFFLE RELATIONS AND THE GENERATING FUNCTION OF TRIPLE ZETA VALUES OF ANY FIXED WEIGHT
- On multiple zeta values of even arguments
- ON A WEIGHTED SUM OF MULTIPLE -VALUES OF FIXED WEIGHT AND DEPTH
- Families of weighted sum formulas for multiple zeta values
- Multiple zeta-star values and multiple integrals
- Algebras of Iterated Path Integrals and Fundamental Groups
- Duality of Weighted Sum Formulas of Alternating Multiple $T$-Values
- Dirichlet type extensions of Euler sums
This page was built for publication: Alternating multiple \(T\)-values: weighted sums, duality, and dimension conjecture
