Results 71 to 80 of about 5,153,606 (196)
One-loop amplitudes: string methods, infrared regularization, and automation
Journal of High Energy PhysicsWe calculate field theory loop amplitudes by string methods, applied to half-maximal 4-point one-loop graviton amplitudes. Infrared divergences are regulated similarly to soft-collinear effective field theory (SCET): new mass scales are introduced, here ...
Marcus Berg +2 more
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good: An R package for modelling count data
Methods in Ecology and Evolution, Volume 15, Issue 12, Page 2192-2197, December 2024.Abstract Organisms‐related data often appear as counts. The Poisson distribution is the most popular choice for modelling count data, but this distribution assumes equidispersion, which is usually not satisfied in real‐world data. Deviations from the Poisson assumption lead to discrete‐valued distributions that can fit over‐ and/or underdispersion ...
David Agis +4 more
wiley +1 more source
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
A note on functional equations of the $p$-adic polylogarithms [PDF]
Bulletin de la Société mathématique de France, 1991 The author gives some sufficient and necessary conditions how to obtain a functional equation for polylogarithms. He discusses complex polylogarithms and \(p\)-adic polylogarithms [see \textit{R. F. Coleman}, Invent. Math. 69, 171-208 (1982; Zbl 0516.12017)] as well.
openaire +1 more source
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
Lerch\u27s $Φ$ and the Polylogarithm at the Negative Integers [PDF]
At the negative integers, there is a simple relation between the Lerch $Φ$ function and the polylogarithm. Starting from that relation and a formula for the polylogarithm at the negative integers known from the literature, we can deduce a simple closed ...
Sousa, Jose Risomar
core +1 more source
Certain Subclasses Of Meromorphic Functions With Fixed Second Coefficients Associated With Generalized Polylogarithm Functions [PDF]
, 2020 In this paper we introduce and study a subclass GP (α, λ, μ, κ, c) of meromorphic univalent functions which is associated with generalized polylogarithm functions.
Nirmala, J., Swamy, S. R.
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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
The motivic polylogarithm for smooth quasi-projective schemes and its realizations [PDF]
, 2015 We develop the first general motivic definition of the polylogarithm. Here, we do not restrict ourselves to the classical cases of curves and abelian schemes, but deal with the far more general class of smooth quasi-projective schemes over some base ...
Eisenreich, Sandra Maria
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Three open problems and a conjecture
Open Mathematics, 2015 In this paper we solve three open problems and a conjecture related to the calculations of some classes of multiple series posed by Furdui in [1].
Qin Huizeng, Furdui Ovidiu
doaj +1 more source