Results 81 to 90 of about 813 (211)
A note on degenerate poly-Genocchi numbers and polynomials
Advances in Difference Equations, 2020 Recently, some mathematicians have been studying a lot of degenerate versions of special polynomials and numbers in some arithmetic and combinatorial aspects. Our research is also interested in this field.
Hye Kyung Kim, Lee-Chae Jang
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Special values of generalized polylogarithms [PDF]
Journal of Mathematical Sciences, 2012 We study values of generalized polylogarithms at various points and relationships among them. Polylogarithms of small weight at the points 1/2 and -1 are completely investigated. We formulate a conjecture about the structure of the linear space generated by values of generalized polylogarithms.
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, 1992 This paper is an introduction to classical polylogarithms and is an expanded version of a talk given by the author at the Motives conference. Topics covered include, monodromy; the polylogarithm local systems; Bloch's constructions of regulators using the dilogarithm; polylog locals systems as variations of mixed Hodge structre; the polylogarithm ...
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Multiple Elliptic Polylogarithms
, 2011 We study the de Rham fundamental group of the configuration space $E^{(n)}$ of $n+1$ marked points on an elliptic curve $E$, and define multiple elliptic polylogarithms. These are multivalued functions on $E^{(n)}$ with unipotent monodromy, and are constructed by a general averaging procedure.
Brown, Francis C. S., Levin, Andrey
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Families of skew linear harmonic Euler sums involving some parameters
CuboIn this study we investigate a family of skew linear harmonic Euler sums involving some free parameters. Our analysis involves using the properties of the polylogarithm function, commonly referred to as the Bose-Einstein integral.
Anthony Sofo
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Gravitational couplings in N=2 $$ \mathcal{N}=2 $$ string compactifications and Mathieu Moonshine
Journal of High Energy Physics, 2018 We evaluate the low energy gravitational couplings, F g in the heterotic E 8 ×E 8 string theory compactified on orbifolds of K3 × T 2 by g ′ which acts as a ℤ N automorphism on K3 together with a 1/N shift along T 2.
Aradhita Chattopadhyaya, Justin R. David
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Multilinear motivic polylogarithms
Illinois Journal of Mathematics, 2005 We explicitly describe a candidate for the regulator map from $H^1_{\M} \bigl(\Spec \C , \Z(n) \bigr)$ into $\R$ using analogues of polylogarithms. When $n=2$, the above procedure agrees with the one in the author's paper \cite{MS01}, which was shown to be compatible with Bloch's dilogarithm.
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Journal of High Energy Physics, 2018 This is a sequel of our previous paper where we described an algorithm to find a solution of differential equations for master integrals in the form of an ϵ-expansion series with numerical coefficients.
Roman N. Lee +2 more
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Extended Wang sum and associated products. [PDF]
PLoS One, 2022 Reynolds R, Stauffer A.
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