Polylogarithms pdf
Webple polylogarithms, the formal KZ equation and the Gauss hypergeometric equation. In Section 2, we consider the analytic continuation of the multiple polylogarithms of one variable to the universal covering space of P1−{0,1,∞} as an analytic function. In Section 3, we give an expression of the Gauss hypergeometric function WebCluster polylogarithms on the configuration space 18 3.1. Quadrangular polylogarithms 18 3.2. The space of quadrangular polylogarithms 21 3.3. Proof of Theorems 1.1 22 3.4.
Polylogarithms pdf
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WebAug 2, 2024 · PDF We suggest a definition of cluster polylogarithms on an arbitrary cluster variety and classify them on $\mathfrak{M}_{0,m}$. We find functional... Find, read and cite all the research you ... WebFeb 11, 2024 · Download PDF Abstract: For an integer n>2 we define a polylogarithm, which is a holomorphic function on the universal abelian cover of C-{0,1} defined modulo (2 pi i)^n/(n-1)!. We use the formal properties of its functional relations to define groups lifting Goncharov's Bloch groups of a field F, and show that they fit into a complex lifting …
http://people.mpim-bonn.mpg.de/stavros/publications/resurgencepolylogarithms.pdf WebPOLYLOGARITHMS AND POLY-BERNOULLI POLYNOMIALS Abdelmejid BAYAD and Yoshinori HAMAHATA (Received 18 February 2010) Abstract. In this paper we investigate special generalized Bernoulli polynomials that
WebApr 15, 2024 · Download PDF Abstract: We review recent developments in the study of multiple polylogarithms, including the Hopf algebra of the multiple polylogarithms and the … WebThe polylogarithm , also known as the Jonquière's function, is the function. (1) defined in the complex plane over the open unit disk. Its definition on the whole complex plane then …
WebKey words: Polylogarithms, modular forms. Introduction The notion of the elliptic polylogarithm functions as a natural generalization of the usual polylogarithms was …
WebAbstract. The fractional polylogarithms, depending on a complex parameter α, are defined by a series which is analytic inside the unit disk. After an elementary conversion of the … celtic summer classic lewisvilleWebWe prove linear independence of indefinite iterated Eisenstein integrals over the fraction field of the ring of formal power series Z[[q]]. Our proof relies on a general criterium for linear independence of iterated integrals, which has been established by Deneufchâtel, Duchamp, Minh and Solomon. As a corollary, we obtain C-linear independence of indefinite iterated … buy gold with ira moneyWebdescribe the scattering of elementary particles, polylogarithms are ubiquitous. One way to understand the connection between polylogarithms and Feynman integrals is through the … buy gold with roth iraWeb, when s 1, … , s k are positive integers and z a complex number in the unit disk. For k = 1, this is the classical polylogarithm Li s (z).These multiple polylogarithms can be defined also in … buy gold with paypalWebMar 24, 2024 · Nielsen Generalized Polylogarithm. Download Wolfram Notebook. A generalization of the polylogarithm function defined by. The function reduces to the usual … celtics udoka girlfriendWebThe Computation of Polylogarithms David C. Wood ABSTRACT The polylogarithm function, Li p(z), is defined, and a number of algorithms are derived for its computation, valid in different ranges of its real parameter p and complex argument z. These are sufficient to evaluate it numerically, with reasonable efficiency, in all cases. 1. Definition buy gold with fidelityWebMar 8, 2007 · Download PDF Abstract: We investigate the elliptic analogs of multi-indexed polylogarithms that appear in the theory of the fundamental group of the projective line minus three points as sections of a universal nilpotent bundle with regular singular connection. We use an analytic uniformisation to derive the fundamental nilpotent De … buy gold with no sales tax