Results 71 to 80 of about 813 (211)
Asymptotics of parity biases for partitions into distinct parts via Nahm sums
Proceedings of the London Mathematical Society, Volume 129, Issue 6, December 2024.Abstract For a random partition, one of the most basic questions is: what can one expect about the parts that arise? For example, what is the distribution of the parts of random partitions modulo N$N$? As most partitions contain a 1, and indeed many 1s arise as parts of a random partition, it is natural to expect a skew toward 1(modN)$1\ (\mathrm{mod} \
Kathrin Bringmann +3 more
wiley +1 more source
Cluster functions and scattering amplitudes for six and seven points
Journal of High Energy Physics, 2017 Scattering amplitudes in planar super-Yang-Mills theory satisfy several basic physical and mathematical constraints, including physical constraints on their branch cut structure and various empirically discovered connections to the mathematics of cluster
Thomas Harrington, Marcus Spradlin
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CHAPLIN—Complex Harmonic Polylogarithms in Fortran [PDF]
Computer Physics Communications, 2014 29 pages, 1 figure, 5 ...
Buehler, Stephan, Duhr, Claude
openaire +3 more sources
A discrete mean value of the Riemann zeta function
Mathematika, Volume 70, Issue 4, October 2024.Abstract In this work, we estimate the sum ∑0<ℑ(ρ)⩽Tζ(ρ+α)X(ρ)Y(1−ρ)$$\begin{align*} \sum _{0 < \Im (\rho) \leqslant T} \zeta (\rho +\alpha)X(\rho) Y(1\!-\! \rho) \end{align*}$$over the nontrivial zeros ρ$\rho$ of the Riemann zeta function where α$\alpha$ is a complex number with α≪1/logT$\alpha \ll 1/\log T$ and X(·)$X(\cdot)$ and Y(·)$Y(\cdot)$ are ...
Kübra Benli, Ertan Elma, Nathan Ng
wiley +1 more source
Complete Monotonicity of Functions Connected with the Exponential Function and Derivatives
Abstract and Applied Analysis, 2014 Some complete monotonicity results that the functions ±1/e±t-1 are logarithmically completely monotonic, and that differences between consecutive derivatives of these two functions are completely monotonic, and that the ratios between consecutive ...
Chun-Fu Wei, Bai-Ni Guo
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On the Thomas–Fermi model: Gabor J. Kalman's contribution and numerical approximations
Contributions to Plasma Physics, Volume 64, Issue 6, July 2024.Abstract In this article, we would like to pay tribute to Gabor Kalman, outlining his contribution to a model widely used in dense plasma physics: the high‐temperature Thomas–Fermi model. The approach of Ruoxian Ying and Kalman relies on the separation of the bound and free electrons, a physically reasonable definition of the bound electrons, a ...
Jean‐Christophe Pain
wiley +1 more source
Stirling numbers and inverse factorial series [PDF]
Contributions to Mathematics, 2023 Khristo N. Boyadzhiev
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Exact correlation functions in conformal fishnet theory
Journal of High Energy Physics, 2019 We compute exactly various 4−point correlation functions of shortest scalar operators in bi-scalar planar four-dimensional “fishnet” CFT. We apply the OPE to extract from these functions the exact expressions for the scaling dimensions and the structure ...
Nikolay Gromov +2 more
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Operator Representation of Fermi-Dirac and Bose-Einstein Integral Functions with Applications
International Journal of Mathematics and Mathematical Sciences, 2007 Fermi-Dirac and Bose-Einstein functions arise as quantum statistical distributions. The Riemann zeta function and its extension, the polylogarithm function, arise in the theory of numbers.
M. Aslam Chaudhry, Asghar Qadir
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Zeros of the lerch transcendent function
Mathematical Modelling and Analysis, 2012 We investigate the distribution of zeros of the Lerch transcendent function We find an upper and lower estimates of zeros of the function Φ(q,s,a) in any rectangle {s : σ1 < Re s < σ2 ≤ 1.73…, 0 < Im s ≤ T}.
Ramūnas Garunkštis, Andrius Grigutis
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