International Journal of Number Theory, ISSN 1793-0421, 11/2018, Volume 14, Issue 10, pp. 2617 - 2630

For positive integers m , n , k with m ≥ 2 and ⌈ n / 2 ⌉ ≤ k ≤ n , let E { m } ( m , n , k ) be the sum of multiple zeta values of depth k and weight m n with...

modified Bell polynomial | generating function | stuffle relation | Multiple zeta value | MATHEMATICS | SERIES | stale relation

modified Bell polynomial | generating function | stuffle relation | Multiple zeta value | MATHEMATICS | SERIES | stale relation

Journal Article

Journal of Algebra, ISSN 0021-8693, 08/2020, Volume 556, pp. 363 - 384

... from Möbius transformations of iterated integrals. These formulas provide fundamental and useful tools in the study of iterated integrals on a punctured projective line.

Multiple zeta values | Shuffle product | Stuffle product | Linear fractional transformation | Iterated integrals | MATHEMATICS

Multiple zeta values | Shuffle product | Stuffle product | Linear fractional transformation | Iterated integrals | MATHEMATICS

Journal Article

Taiwanese journal of mathematics, ISSN 1027-5487, 6/2018, Volume 22, Issue 3, pp. 529 - 543

Using the combinatorial descriptions of stuffle product, we obtain recursive formulas for the stuffle product of multiple zeta values and of multiple zeta-star values...

Multiple zeta values | Stuffle product | Multiple zeta-star values | MATHEMATICS | DECOMPOSITION | multiple zeta-star values | Stuffel product | multiple zeta values | SHUFFLE PRODUCT

Multiple zeta values | Stuffle product | Multiple zeta-star values | MATHEMATICS | DECOMPOSITION | multiple zeta-star values | Stuffel product | multiple zeta values | SHUFFLE PRODUCT

Journal Article

Functiones et Approximatio, Commentarii Mathematici, ISSN 0208-6573, 2012, Volume 46, Issue 1, pp. 63 - 77

For positive integers \alpha_{1}, \alpha_{2}, \ldots, \alpha_{r} with \alpha_{r} \geq 2, the multiple zeta value or r-fold Euler sum is defined by...

Euler sums | Stuffle formulae | Multiple zeta value | Hurwitz zeta function | 33E99 | 11M99 | stuffle formulae | 40B05 | multiple zeta value | 40A25

Euler sums | Stuffle formulae | Multiple zeta value | Hurwitz zeta function | 33E99 | 11M99 | stuffle formulae | 40B05 | multiple zeta value | 40A25

Journal Article

Journal of number theory, ISSN 0022-314X, 2012, Volume 132, Issue 1, pp. 144 - 155

We present a family of identities ‘cyclic sum formula’ and ‘sum formula’ for a version of multiple q-zeta star values...

Stuffle relation | q-Generalization | Multiple zeta value | Sum formula | Q-Generalization | Q-ANALOG | MATHEMATICS | MULTIPLE ZETA-VALUES | SERIES

Stuffle relation | q-Generalization | Multiple zeta value | Sum formula | Q-Generalization | Q-ANALOG | MATHEMATICS | MULTIPLE ZETA-VALUES | SERIES

Journal Article

Applicable analysis and discrete mathematics, ISSN 1452-8630, 4/2010, Volume 4, Issue 1, pp. 45 - 53

We study two functions ξk(s) and ξk₁,...,kr (s) introduced by Arakawa and Kaneko [Nagoya Math. J., 153 (1999), 189-209] and relate them with (finite) multiple...

Discrete mathematics | Mathematical functions | Algebra | Number theory | MATHEMATICS | MATHEMATICS, APPLIED | finite multiple zeta values | Multiple zeta values | SUM | multiple zeta star values | FORMULAS | finite stuffle identity

Discrete mathematics | Mathematical functions | Algebra | Number theory | MATHEMATICS | MATHEMATICS, APPLIED | finite multiple zeta values | Multiple zeta values | SUM | multiple zeta star values | FORMULAS | finite stuffle identity

Journal Article

Mathematical Notes, ISSN 0001-4346, 12/2008, Volume 84, Issue 5, pp. 771 - 782

We prove new relations for multiple zeta values. In particular, they imply Vasil’ev’s equality and a formula for the summation of multiple zeta values of fixed...

Fubini’s theorem | multiple zeta values | stuffle product (harmonic product) of zeta values | generating function | Mathematics, general | zeta function | Mathematics | Multiple zeta values | Zeta function | Fubini's theorem | Stuffle product (harmonic product) of zeta values | Generating function | MATHEMATICS | FORMULAS

Fubini’s theorem | multiple zeta values | stuffle product (harmonic product) of zeta values | generating function | Mathematics, general | zeta function | Mathematics | Multiple zeta values | Zeta function | Fubini's theorem | Stuffle product (harmonic product) of zeta values | Generating function | MATHEMATICS | FORMULAS

Journal Article

Journal of Number Theory, ISSN 0022-314X, 08/2015, Volume 153, pp. 107 - 116

We obtain some formulas for the stuffle product and apply them to derive a decomposition formula for multiple zeta values...

Delannoy number | Multiple zeta value | Stuffle product | MATHEMATICS | DECOMPOSITION

Delannoy number | Multiple zeta value | Stuffle product | MATHEMATICS | DECOMPOSITION

Journal Article

International Journal of Number Theory, ISSN 1793-0421, 05/2016, Volume 12, Issue 3, pp. 787 - 812

We prove that the ℚ -vector space generated by the multiple zeta values is generated by the finite real multiple zeta values introduced by Kaneko and Zagier.

Multiple zeta values | finite real multiple zeta values | linearized double shuffle spaces | shuffles and stuffles | MATHEMATICS | HARMONIC SUMS | Mathematics - Number Theory

Multiple zeta values | finite real multiple zeta values | linearized double shuffle spaces | shuffles and stuffles | MATHEMATICS | HARMONIC SUMS | Mathematics - Number Theory

Journal Article

Acta Mathematica Sinica, English Series, ISSN 1439-8516, 10/2008, Volume 24, Issue 10, pp. 1593 - 1616

In this paper, we shall define the renormalization of the multiple q-zeta values (MqZV) which are special values of multiple q-zeta functions ζ q (s 1, ..., s...

shifting principle | stuffle relations | 11M41 | tailored power series | regularization | Mathematics, general | Mathematics | Renormalization | multiple ( q -)zeta values | Multiple (q-)zeta values | Tailored power series | Regularization | Shifting principle | Stuffle relations | MATHEMATICS | MATHEMATICS, APPLIED | multiple (q-)zeta values | Studies | Eulers equations | Mathematical functions | Mathematics - Number Theory

shifting principle | stuffle relations | 11M41 | tailored power series | regularization | Mathematics, general | Mathematics | Renormalization | multiple ( q -)zeta values | Multiple (q-)zeta values | Tailored power series | Regularization | Shifting principle | Stuffle relations | MATHEMATICS | MATHEMATICS, APPLIED | multiple (q-)zeta values | Studies | Eulers equations | Mathematical functions | Mathematics - Number Theory

Journal Article

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.