[CITATION][C] Series associated with the zeta and related functions
HM Srivastava - 2001 - books.google.com
In recent years there has been an increasing interest in problems involving closed form
evaluations of (and representations of the Riemann Zeta function at positive integer …
evaluations of (and representations of the Riemann Zeta function at positive integer …
Multiple polylogarithms and mixed Tate motives
AB Goncharov - arxiv preprint math/0103059, 2001 - arxiv.org
arxiv:math/0103059v4 [math.AG] 15 May 2001 Page 1 arxiv:math/0103059v4 [math.AG] 15
May 2001 Multiple polylogarithms and mixed Tate motives AB Goncharov To Don Zagier for …
May 2001 Multiple polylogarithms and mixed Tate motives AB Goncharov To Don Zagier for …
Derivation and double shuffle relations for multiple zeta values
K Ihara, M Kaneko, D Zagier - Compositio Mathematica, 2006 - cambridge.org
Derivation and double shuffle relations for multiple zeta values Page 1 Compositio Math. 142
(2006) 307–338 doi:10.1112/S0010437X0500182X Derivation and double shuffle relations …
(2006) 307–338 doi:10.1112/S0010437X0500182X Derivation and double shuffle relations …
Harmonic sums and Mellin transforms up to two-loop order
J Blümlein, S Kurth - Physical Review D, 1999 - APS
A systematic study is performed on the finite harmonic sums up to level four. These sums
form the general basis for the Mellin transforms of all individual functions fi (x) of the …
form the general basis for the Mellin transforms of all individual functions fi (x) of the …
The algebra of multiple harmonic series
ME Hoffman - Journal of Algebra, 1997 - Elsevier
Recently there has been much interest in multiple harmonic seriesζ (i 1, i 2,…, ik)=∑ n 1> n
2>···> nk≥ 1 1 n 1i1n 2i2··· n kik (which converge when the exponentsijare positive integers …
2>···> nk≥ 1 1 n 1i1n 2i2··· n kik (which converge when the exponentsijare positive integers …
Special values of multiple polylogarithms
Historically, the polylogarithm has attracted specialists and non-specialists alike with its
lovely evaluations. Much the same can be said for Euler sums (or multiple harmonic sums) …
lovely evaluations. Much the same can be said for Euler sums (or multiple harmonic sums) …
The multiple zeta value data mine
We provide a data mine of proven results for Multiple Zeta Values (MZVs) of the form
[Formula: see text] with weight w=∑ i= 1ksi and depth k and for Euler sums of the form …
[Formula: see text] with weight w=∑ i= 1ksi and depth k and for Euler sums of the form …
[BOOK][B] An introduction to Rota-Baxter algebra
L Guo - 2012 - intlpress.com
This is an introduction to Rota-Baxter algebra that aims at presenting basic results of Rota-
Baxter algebra with minimal background requirement for the readers. A Rota-Baxter algebra …
Baxter algebra with minimal background requirement for the readers. A Rota-Baxter algebra …
Black hole perturbation theory and multiple polylogarithms
A bstract We study black hole linear perturbation theory in a four-dimensional Schwarzschild
(anti) de Sitter background. When dealing with a positive cosmological constant, the …
(anti) de Sitter background. When dealing with a positive cosmological constant, the …
Euler sums and contour integral representations
P Flajolet, B Salvy - Experimental Mathematics, 1998 - Taylor & Francis
This paper develops an approach to the evaluation of Euler sums that involve harmonic
numbers, either linearly or nonlinearly. We give explicit formulee for several classes of Euler …
numbers, either linearly or nonlinearly. We give explicit formulee for several classes of Euler …