Add to ORKGQuickly converging series are given to compute polyzeta numbers ζ(r1, . . . , rk). The formulas involve an intricate combination of (generalized) polylogarithms at 1/2. However, the combinatoric has a very simple geometric interpretation: it corresponds with the map p -> p² on a certain symmetric space P
In this paper, we begin by reviewing the calculus induced by the framework of [10]. In there, we ext...
AbstractGeneralized polylogarithms are defined as iterated integrals with respect to the two differe...
AbstractWe define so-called poset-polynomials of a graded poset and use it to give an explicit and g...
AbstractThe algebra of polylogarithms (iterated integrals over two differential forms ω0=dz/z and ω1...
International audienceFor positive integers $s_1,\ldots,s_k$ with $s_1\ge 2$, the series $$ \sum_{n_...
AbstractGeneralized polylogarithms are defined as iterated integrals with respect to the two differe...
AbstractExpressions for the polygamma function ψ(k)(x) for the arguments x=14 and x=14 are given in ...
A combinatorial study discloses two surjective morphisms between generalized shuffle algebras and al...
In \cite{cartier2}, Pierre Cartier conjectured that for any non commutative formal power series $\Ph...
We derive some series related to the polylogarithmic function, and we also give a new proof to the e...
Given an MSO formula $\phi$ with free variables $x_1, \dots, x_k$, one can define the function $\# \...
Historically, the polylogarithm has attracted specialists and non-specialists alike with its lovely ...
AbstractThe cycle index polynomial of combinatorial analysis is discussed in various contexts
In this paper, we begin by reviewing the calculus induced by the framework of [10]. In there, we ext...
International audienceWe study the computational model of polygraphs. For that, we consider polygrap...
In this paper, we begin by reviewing the calculus induced by the framework of [10]. In there, we ext...
AbstractGeneralized polylogarithms are defined as iterated integrals with respect to the two differe...
AbstractWe define so-called poset-polynomials of a graded poset and use it to give an explicit and g...
AbstractThe algebra of polylogarithms (iterated integrals over two differential forms ω0=dz/z and ω1...
International audienceFor positive integers $s_1,\ldots,s_k$ with $s_1\ge 2$, the series $$ \sum_{n_...
AbstractGeneralized polylogarithms are defined as iterated integrals with respect to the two differe...
AbstractExpressions for the polygamma function ψ(k)(x) for the arguments x=14 and x=14 are given in ...
A combinatorial study discloses two surjective morphisms between generalized shuffle algebras and al...
In \cite{cartier2}, Pierre Cartier conjectured that for any non commutative formal power series $\Ph...
We derive some series related to the polylogarithmic function, and we also give a new proof to the e...
Given an MSO formula $\phi$ with free variables $x_1, \dots, x_k$, one can define the function $\# \...
Historically, the polylogarithm has attracted specialists and non-specialists alike with its lovely ...
AbstractThe cycle index polynomial of combinatorial analysis is discussed in various contexts
In this paper, we begin by reviewing the calculus induced by the framework of [10]. In there, we ext...
International audienceWe study the computational model of polygraphs. For that, we consider polygrap...
In this paper, we begin by reviewing the calculus induced by the framework of [10]. In there, we ext...
AbstractGeneralized polylogarithms are defined as iterated integrals with respect to the two differe...
AbstractWe define so-called poset-polynomials of a graded poset and use it to give an explicit and g...