Relations of multiple zeta values and their algebraic expression.
From MaRDI portal
Publication:1873802
DOI10.1016/S0021-8693(03)00016-4zbMath1139.11322arXivmath/0010140MaRDI QIDQ1873802
Michael E. Hoffman, Yasuo Ohno
Publication date: 27 May 2003
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0010140
Symmetric functions and generalizations (05E05) Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Multiple Dirichlet series and zeta functions and multizeta values (11M32)
Related Items
WEIGHTED SUMS WITH TWO PARAMETERS OF MULTIPLE ZETA VALUES AND THEIR FORMULAS, Yamamoto's interpolation of finite multiple zeta and zeta-star values, Duality and (\(q\)-)multiple zeta values, Weighted sum formula for multiple zeta values, On the sum formula for the $q$-analogue of non-strict multiple zeta values, The algebra of generating functions for multiple divisor sums and applications to multiple zeta values, On harmonic numbers and nonlinear Euler sums, Shuffle product formulas of multiple zeta values, Algebraic relations of interpolated multiple zeta values, Weak stuffle algebras, The multiple zeta value data mine, Cyclic relation for multiple zeta functions, A generating function to generalize the sum formula for quadruple zeta values, On generating functions of multiple zeta values and generalized hypergeometric functions, Applications of shuffle product to restricted decomposition formulas for multiple zeta values, SUPERCONGRUENCES OF MULTIPLE HARMONIC <i>q</i>-SUMS AND GENERALIZED FINITE/SYMMETRIC MULTIPLE ZETA VALUES, Cyclic sum formula for multiple \(L\)-values, Kawashima's relations for interpolated multiple zeta values, Cyclic sum of certain parametrized multiple series, Shuffle products for multiple zeta values and partial fraction decompositions of zeta-functions of root systems, On the linear relations among parametrized multiple series, Interpolation of multiple zeta and zeta-star values, On a generalization of the cyclic sum formula for finite multiple zeta and zeta-star values, Cyclic \(q\)-MZSV sum, Multiple zeta values vs. multiple zeta-star values, On certain two-parameter deformations of multiple zeta values, Quadratic relations for a \(q\)-analogue of multiple zeta values, Cyclic sums of finite multiple zeta values, q-Analogues of Multiple Zeta Values and Their Application in Renormalization, Derivations on the algebra of multiple harmonic \(q\)-series and their applications, Harmonic-number summation identities, symmetric functions, and multiple zeta values, On relations for the multiple \(q\)-zeta values, Multiple \(q\)-zeta values, A generating function for sums of multiple zeta values and its applications, An algebraic proof of the cyclic sum formula for multiple zeta values, Mixable shuffles, quasi-shuffles and Hopf algebras., Quasi-derivation relations for multiple zeta values revisited, Algebraic Aspects of Multiple Zeta Values, Sum Relations for Multiple Zeta Values, Multiple zeta functions and double wrapping in planar \(\mathcal{N} = 4\) SYM, On \(p\)-Bernoulli numbers and polynomials, A class of relations among multiple zeta values, On variants of symmetric multiple zeta-star values and the cyclic sum formula, A generalization of Ohno's relation for multiple zeta values, Harmonic Sums, Polylogarithms,Special Numbers, and Their Generalizations, Duality for finite multiple harmonic \(q\)-series, Sum relations for multiple zeta values and connection formulas for the Gauss hypergeometric functions, The algebra and combinatorics of shuffles and multiple zeta values, Multiple zeta values of fixed weight, depth, and height, Some relations of interpolated multiple zeta values
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Lie elements and an algebra associated with shuffles
- Combinatorial aspects of multiple zeta values
- A cyclic derivative in noncommutative algebra
- 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
- Evaluations of \(k\)-fold Euler/Zagier sums: a compendium of results for arbitrary \(k\)
- Multiple zeta values of fixed weight, depth, and height
- On posets and Hopf algebras
- Lyndon words, polylogarithms and the Riemann \(\zeta\) function
- Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops
- Periods of mirrors and multiple zeta values
