Results 41 to 50 of about 5,153,606 (196)
Holographic correlators with multi-particle states
Journal of High Energy Physics, 2021 We derive the connected tree-level part of 4-point holographic correlators in AdS3 × S 3 × M $$ \mathcal{M} $$ (where M $$ \mathcal{M} $$ is T 4 or K3) involving two multi-trace and two single-trace operators.
Nejc Čeplak +3 more
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Elliptic polylogarithms and basic hypergeometric functions [PDF]
The European Physical Journal C, 2017 Multiple elliptic polylogarithms can be written as (multiple) integrals of products of basic hypergeometric functions. The latter are computable, to arbitrary precision, using a q-difference equation and q-contiguous relations.
openaire +2 more sources
Representation of some special functions on transcendence basis
Tạp chí Khoa học Đại học Huế: Khoa học Tự nhiên, 2020 The special functions such as multiple harmonic sums, polyzetas or multiple polylogarithm functions are compatible with quasi-shuffle algebras. By using transcendence bases of the quasi-shuffle algebras studied in the paper [4], we will express non ...
Bui Van Chien
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The Hodge Realization of the Polylogarithm and the Shintani Generating Class for Totally Real Fields [PDF]
, 2023 In this article, we construct the Hodge realization of the polylogarithm class in the equivariant Deligne-Beilinson cohomology of a certain algebraic torus associated to a totally real field.
Ohshita, Tatsuya +5 more
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Evaluation of integrals with hypergeometric and logarithmic functions
Open Mathematics, 2018 We provide an explicit analytical representation for a number of logarithmic integrals in terms of the Lerch transcendent function and other special functions.
Sofo Anthony
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Reciprocity of degenerate poly-Dedekind-type DC sums
Applied Mathematics in Science and Engineering, 2023 Dedekind-type DC sums and their properties are defined in terms of Euler functions. Ma et al. recently introduced poly-Dedekind-type DC sums and demonstrated that they satisfy a reciprocity relation.
Lingling Luo +3 more
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Families of Integrals of Polylogarithmic Functions [PDF]
Mathematics, 2019 We give an overview of the representation and many connections between integrals of products of polylogarithmic functions and Euler sums. We shall consider polylogarithmic functions with linear, quadratic, and trigonometric arguments, thereby producing new results and further reinforcing the well-known connection between Euler sums and polylogarithmic ...
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Weyl groups and elliptic solutions of the WDVV equations [PDF]
, 2010 A functional ansatz is developed which gives certain elliptic solutions of the Witten-Dijkgraaf-Verlinde-Verlinde (or WDVV) equations. This ansatz is based on the elliptic trilogarithm function introduced by Beilinson and Levin. For this to be a solution
Ian A. B. Strachan +2 more
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Long‐Range Interactions in Topological Superconducting Systems: A Mini Review
Advanced Physics Research, Volume 5, Issue 7, July 2026.Long‐range interacting quantum systems are surveyed in this review, with an emphasis on the long‐range topological superconductor and its variants. Long‐range interactions decaying in a power‐law manner can lead to exotic phenomena that finds no analogue in short‐range regimes.
Juntong Ren, Haifeng Lü
wiley +1 more source
Inequalities for Lerch transcendent function [PDF]
, 2023 Some fundamental inequalities for Lerch transcendent function with positive terms by utilising certain classical results due to Hölder, Čebyšev, Grüss and others, are established. Some particular cases of interest for Polylogarithm function, Hurwitz zeta
Silvestru Sever Dragomir +1 more
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