Zobrazeno 1 - 10
of 449
pro vyhledávání: '"Campbell, John M"'
The pair production of Higgs bosons at the LHC can give information about the triple Higgs boson coupling. We perform an analytic one-loop calculation of the amplitudes for a pair of Higgs bosons in association with three partons, retaining the exact
Externí odkaz:
http://arxiv.org/abs/2408.12686
Autor:
Campbell, John M.
Hou, Krattenthaler, and Sun have introduced two $q$-analogues of a remarkable series for $\pi^2$ due to Guillera, and these $q$-identities were, respectively, proved with the use of a $q$-analogue of a Wilf-Zeilberger pair provided by Guillera and wi
Externí odkaz:
http://arxiv.org/abs/2407.00621
In combinatorics on words, the well-studied factor complexity function $\rho_{\bf x}$ of a sequence ${\bf x}$ over a finite alphabet counts, for any nonnegative integer $n$, the number of distinct length-$n$ factors of $\mathbf{x}$. In this paper, we
Externí odkaz:
http://arxiv.org/abs/2406.09302
The numerically stable evaluation of scattering matrix elements near the infrared limit of gauge theories is of great importance for the success of collider physics experiments. We present a novel algorithm that utilizes double precision arithmetic a
Externí odkaz:
http://arxiv.org/abs/2406.07671
Autor:
Campbell, John M.
Schur-Weyl duality concerns the actions of $\text{GL}_{n}(\mathbb{C})$ and $S_{k}$ on tensor powers of the form $V^{\otimes k}$ for an $n$-dimensional vector space $V$. There are rich histories within representation theory, combinatorics, and statist
Externí odkaz:
http://arxiv.org/abs/2406.02478
Autor:
Campbell, John M.
Chu and Zhang, in 2014, introduced hypergeometric transforms derived through the application of an Abel-type summation lemma to Dougall's ${}_{5}H_{5}$-series. These transforms were applied by Chu and Zhang to obtain accelerated rates of convergence,
Externí odkaz:
http://arxiv.org/abs/2405.02776
Autor:
Campbell, John M.
The (Mahler-Popken) complexity $\| n \|$ of a natural number $n$ is the smallest number of ones that can be used via combinations of multiplication and addition to express $n$, with parentheses arranged in such a way so as to form legal nestings. We
Externí odkaz:
http://arxiv.org/abs/2403.20073
Publikováno v:
SIGMA 20 (2024), 079, 14 pages
Through the application of an evaluation technique based on cyclotomic multiple zeta values recently due to Au, we solve open problems on inverse binomial series that were included in a 2010 analysis textbook by Chen.
Comment: a sequel to arXiv:
Comment: a sequel to arXiv:
Externí odkaz:
http://arxiv.org/abs/2403.16945
We introduce and prove evaluations for families of multiple elliptic integrals by solving special types of ordinary and partial differential equations. As an application, we obtain new expressions of Ramanujan-type series of level 4 and associated si
Externí odkaz:
http://arxiv.org/abs/2403.07298
Autor:
Campbell, John M.
Using an infinite family of generalizations of the Chudnovsky brothers' series recently obtained via the analytic continuation of the Borwein brothers' formula for Ramanujan-type series of level 1, we apply the Gauss-Salamin-Brent iteration for $\pi$
Externí odkaz:
http://arxiv.org/abs/2403.07291