Results 71 to 80 of about 562 (207)
Polylogarithm for families of commutative group schemes
, 2018 We generalize the definition of the polylogarithm classes to the case of commutative group schemes, both in the sheaf theoretic and the motivic setting. This generalizes and simplifies the existing cases.
Huber-Klawitter, Annette +4 more
core +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
core +1 more source
Binomial Series Involving Harmonic-like Numbers
AxiomsBy computing definite integrals, we shall examine binomial series of convergence rate ±1/2 and weighted by harmonic-like numbers. Several closed formulae in terms of the Riemann and Hurwitz zeta functions as well as logarithm and polylogarithm functions ...
Chunli Li, Wenchang Chu
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
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
Trait diversity in plant communities maintained by competition for water and light
Ecological Monographs, Volume 95, Issue 1, February 2025.Abstract Ecological communities frequently exhibit remarkable taxonomic and trait diversity, and this diversity is consistently shown to regulate ecosystem function and resilience. However, ecologists lack a synthetic theory for how this diversity is maintained when species compete for limited resources, hampering our ability to project the future of ...
Jacob I. Levine +2 more
wiley +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.
core +3 more sources
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
doaj +1 more source
The k‐Augmented Pascal Matrix and Its Properties
Journal of Mathematics, Volume 2025, Issue 1, 2025.We define the k‐augmented Pascal matrix and present both a generalization and an alternative version of this matrix. We derive some properties of the defined matrices and establish a connection with generalized Stirling numbers and second‐order Eulerian numbers. Additionally, we provide a factorization of the k‐augmented Pascal matrix, highlighting its
Gonca Kizilaslan +2 more
wiley +1 more source
The de Rham realization of the elliptic polylogarithm in families [PDF]
, 2014 We give a geometric construction of the logarithm sheaves on an abelian scheme in terms of the universal vectorial extension and the Poincaré bundle. Building on this approach we then develop an explicit description for the de Rham realization of the ...
Scheider, René Achim
core +1 more source