Weighted sum formula for multiple zeta values
From MaRDI portal
Publication:841257
DOI10.1016/j.jnt.2009.04.018zbMath1229.11117arXiv0809.5110OpenAlexW2964057774MaRDI QIDQ841257
Publication date: 15 September 2009
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0809.5110
Related Items (21)
WEIGHTED SUMS WITH TWO PARAMETERS OF MULTIPLE ZETA VALUES AND THEIR FORMULAS ⋮ Yamamoto's interpolation of finite multiple zeta and zeta-star values ⋮ Some weighted sum identities for double zeta values ⋮ Shuffle product formulas of multiple zeta values ⋮ Algebraic relations of interpolated multiple zeta values ⋮ On sum formulas for Mordell-Tornheim zeta values ⋮ A generating function to generalize the sum formula for quadruple zeta values ⋮ Sum relations from shuffle products of alternating multiple zeta values ⋮ Applications of shuffle product to restricted decomposition formulas for multiple zeta values ⋮ Generalizations of Euler decomposition and their applications ⋮ Some identities for multiple zeta values ⋮ Weighted sum formulas from shuffle products of multiples of Riemann zeta values ⋮ Weighted sum formulas for finite multiple zeta values ⋮ Some weighted sum formulas for multiple zeta, Hurwitz zeta, and alternating multiple zeta values ⋮ Weighted sum formula for multiple harmonic sums modulo primes ⋮ ON GENERALIZATIONS OF WEIGHTED SUM FORMULAS OF MULTIPLE ZETA VALUES ⋮ Families of weighted sum formulas for multiple zeta values ⋮ Some relations deduced from regularized double shuffle relations of multiple zeta values ⋮ Double weighted sum formulas of multiple zeta values ⋮ Proof of Kaneko–Tsumura conjecture on triple T-values ⋮ New families of weighted sum formulas for multiple zeta values
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Explicit double shuffle relations and a generalization of Euler's decomposition formula
- An analytic problem whose solution follows from a simple algebraic identity
- Renormalization of multiple zeta values
- A restricted sum formula among multiple zeta values
- Multiple harmonic series
- A generalization of the duality and sum formulas on the multiple zeta values
- Kontsevich's integral for the Homfly polynomial and relations between values of multiple zeta functions
- The algebra of multiple harmonic series
- Mixed Tate motives and multiple zeta values
- Multiple \(q\)-zeta values
- Double shuffles of multiple polylogarithms at roots of unity
- Multiple zeta values of fixed weight, depth, and height
- Relations of multiple zeta values and their algebraic expression.
- Baxter algebras and shuffle products
- Quasi-shuffle products
- Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops
- Convolution of Riemann zeta-value
- Periods of mirrors and multiple zeta values
- Cyclic sum of multiple zeta values
- Resolution of Some Open Problems Concerning Multiple Zeta Evaluations of Arbitrary Depth
- Multiple $\zeta$-motives and moduli spaces $\overline{\mathcal{M}}_{0,n}$
- Special values of multiple polylogarithms
- The Sum Formula for Multiple Zeta Values and Connection Problem of the Formal Knizhnik-Zamolodchikov Equation
- On the sum formula for the $q$-analogue of non-strict multiple zeta values
- Derivation and double shuffle relations for multiple zeta values
This page was built for publication: Weighted sum formula for multiple zeta values
