Results 51 to 60 of about 813 (211)
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
doaj +1 more source
Evaluating multiple polylogarithm values at sixth roots of unity up to weight six
Nuclear Physics B, 2017 We evaluate multiple polylogarithm values at sixth roots of unity up to weight six, i.e. of the form G(a1,…,aw;1) where the indices ai are equal to zero or a sixth root of unity, with a1≠1.
J.M. Henn, A.V. Smirnov, V.A. Smirnov
doaj +1 more source
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
doaj +1 more source
Determination of the Optimal Window Size for the Spatial XOR Filter
Software: Practice and Experience, Volume 55, Issue 11, Page 1773-1784, November 2025.ABSTRACT Introduction An XOR filter is a probabilistic data structure representing a set of keys for membership queries. Given a set X⊂𝒰 of n$$ n $$ keys, and hash functions h1,…,hk:𝒰→{1,…,m}, the filter relies on filling in an array H[1,…,m]$$ H\left[1,\dots, m\right] $$ such that, for all x∈X$$ x\in X $$, h1(x)⊕⋯⊕hk(x)$$ {h}_1(x)\oplus \cdots \oplus {
Paulo Diogo Rodrigues Leão +2 more
wiley +1 more source
Some New Transformation Properties of the Nielsen Generalized Polylogarithm
International Journal of Mathematics and Mathematical Sciences, 2014 Many of the properties of Nielsen generalized polylogarithm Sn,p(z), for example, the special value and the transformation formulas, play important roles in the computation of higher order radiative corrections in quantum electrodynamics.
Nina Shang, Qinghua Feng, Huizeng Qin
doaj +1 more source
The two-loop remainder function for eight and nine particles
Journal of High Energy Physics, 2021 Two-loop MHV amplitudes in planar N $$ \mathcal{N} $$ = 4 supersymmetric Yang Mills theory are known to exhibit many intriguing forms of cluster-algebraic structure.
John Golden, Andrew J. McLeod
doaj +1 more source
Topological Phases in Magnonics
Advanced Physics Research, Volume 4, Issue 3, March 2025.Topological magnonics has received a great deal of attention in the past decade owing to its fundamental significances and potential applications. This review provides a comprehensive overview of recent research progresses on topological phases of magnons, including Chern insulators, high‐order topological insulators, Z2 topological insulators, and ...
Fengjun Zhuo +3 more
wiley +1 more source
Holographic correlators with multi-particle states
Journal of High Energy Physics, 2021 We derive the connected tree-level part of 4-point holographic correlators in AdS3 × S 3 × M $$ \mathcal{M} $$ (where M $$ \mathcal{M} $$ is T 4 or K3) involving two multi-trace and two single-trace operators.
Nejc Čeplak +3 more
doaj +1 more source
Carlitz operators and higher polylogarithm identities
Proceedings of the London Mathematical Society, Volume 130, Issue 3, March 2025.Abstract We study a higher dimension generalization of Carlitz's polynomials, first introduced by Papanikolas, and compute an ∞$\infty$‐adic limit of a sequence of normalizations, relating it to the exponential function of an Anderson module that we completely describe.
F. Pellarin
wiley +1 more source
Remarks on an Identity of Anastase and Díaz-Barrero
AxiomsWe extend an algebraic identity of Anastase and Díaz-Barrero (2022) and apply our results to deduce various formulas for sums and series involving (among others) Fibonacci and Lucas numbers, Bernoulli polynomials, and the Riemann zeta function.
Horst Alzer, Robert Frontczak
doaj +1 more source