Results 51 to 60 of about 562 (207)
Finite and étale polylogarithms
Journal of Number Theory, 2017 21 pages.
Sakugawa, Kenji, Seki, Shin-ichiro
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Известия высших учебных заведений и энергетических объединенний СНГ: Энергетика, 2021 The mixed problem for the telegraph equation well-known in electrical engineering and electronics, provided that the line is free from distortions, is reduced to a similar problem for one-dimensional inhomogeneous wave equation. An effective way to solve
P. G. Lasy, I. N. Meleshko
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Analyticity of the Free Energy of a Closed 3-Manifold
Symmetry, Integrability and Geometry: Methods and Applications, 2008 The free energy of a closed 3-manifold is a 2-parameter formal power series which encodes the perturbative Chern-Simons invariant (also known as the LMO invariant) of a closed 3-manifold with gauge group U(N) for arbitrary N.
Stavros Garoufalidis +2 more
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Computation, 2020 In this work, we derive the operational matrix using poly-Bernoulli polynomials. These polynomials generalize the Bernoulli polynomials using a generating function involving a polylogarithm function.
Chang Phang +2 more
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Lepton-pair scattering with an off-shell and an on-shell photon at two loops in massless QED
Journal of High Energy Physics, 2023 We compute the two-loop QED helicity amplitudes for the scattering of a lepton pair with an off-shell and an on-shell photon, 0 → ℓ ℓ ¯ γγ $$ \ell \overline{\ell}\gamma \gamma $$ *, using the approximation of massless leptons.
Simon Badger +3 more
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From webs to polylogarithms [PDF]
Journal of High Energy Physics, 2014 64 pages, 8 ...
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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
On the Kernel of the Symbol Map for Multiple Polylogarithms [PDF]
, 2012 The symbol map (of Goncharov) takes multiple polylogarithms to a tensor product space where calculations are easier, but where important differential and combinatorial properties of the multiple polylogarithm are retained.
RHODES, JOHN,RICHARD
core
Integral representation and functional inequalities involving generalized polylogarithm [PDF]
The purpose of this manuscript is to derive two distinct integral representations of the generalized polylogarithm using two different techniques. The first approach involves the Dirichlet series and its Laplace representation, which leads to a single ...
Swaminathan, A., Mishra, Deepshikha
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The two-loop remainder function for eight and nine particles
Journal of High Energy Physics, 2021 Two-loop MHV amplitudes in planar N $$ \mathcal{N} $$ = 4 supersymmetric Yang Mills theory are known to exhibit many intriguing forms of cluster-algebraic structure.
John Golden, Andrew J. McLeod
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