Applications of shuffle product to restricted decomposition formulas for multiple zeta values
From MaRDI portal
Publication:404344
DOI10.1016/j.jnt.2014.03.020zbMath1351.11055arXiv1401.7397OpenAlexW2963979016MaRDI QIDQ404344
Publication date: 4 September 2014
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.7397
Related Items
Shuffle product formulas of multiple zeta values, Stuffle product formulas of multiple zeta values, Applications of stuffle product of multiple zeta values, On Bradley's \(q\)-MZVs and a generalized Euler decomposition formula
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Explicit double shuffle relations and a generalization of Euler's decomposition formula
- Mixed Tate motives over \(\mathbb{Z}\)
- Evaluation of the multiple zeta values \(\zeta(2,\ldots,2,3,2,\ldots,2)\)
- Weighted sum formula for multiple zeta values
- Multiple \(q\)-zeta functions and multiple \(q\)-polylogarithms
- Renormalization of multiple zeta values
- A restricted sum formula among multiple zeta values
- Combinatorial aspects of multiple zeta values
- Multiple harmonic series
- A generalization of the duality and sum formulas on the multiple zeta values
- Multiple polylogarithms, cyclotomy and modular complexes
- 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
- Multiple zeta values of fixed weight, depth, and height
- Relations of multiple zeta values and their algebraic expression.
- A \(q\)-analog of Euler's decomposition formula for the double zeta function
- Generalizations of Euler decomposition and their applications
- Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops
- Convolution of Riemann zeta-value
- Multiple $\zeta$-motives and moduli spaces $\overline{\mathcal{M}}_{0,n}$
- Explicit evaluation of Euler sums
- On the sum formula for the $q$-analogue of non-strict multiple zeta values
- Derivation and double shuffle relations for multiple zeta values
