New family of special numbers associated with finite operator [PDF]
Using the notion of the generating function of a function, we define an operator with whom we manage to build a large family of numbers and polynomials. This technique permits to give the closed formulae and interesting combinatorial identities.
Goubi Mouloud
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Kinematic Hopf Algebra for Bern-Carrasco-Johansson Numerators in Heavy-Mass Effective Field Theory and Yang-Mills Theory. [PDF]
We present a closed formula for all Bern-Carrasco-Johansson (BCJ) numerators describing D-dimensional tree-level scattering amplitudes in a heavy-mass effective field theory with two massive particles and an arbitrary number of gluons.
A. Brandhuber+4 more
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On the minimal distance of a polynomial code [PDF]
special issue in honor of Laci Babai's 60th birthday: Combinatorics, Groups, Algorithms, and ...
Peter Pal Pach, Csaba Szabo
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Nemo/Hecke: Computer Algebra and Number Theory Packages for the Julia Programming Language [PDF]
We introduce two new packages, Nemo and Hecke, written in the Julia programming language for computer algebra and number theory. We demonstrate that high performance generic algorithms can be implemented in Julia, without the need to resort to a low ...
C. Fieker+3 more
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Perturbed Keplerian Hamiltonian Systems
This paper deals with a class of perturbation planar Keplerian Hamiltonian systems, by exploiting the nondegeneracy properties of the circular solutions of the planar Keplerian Hamiltonian systems, and by applying the implicit function theorem, we show ...
Riadh Chteoui
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The extended equivalence and equation solvability problems for groups [PDF]
special issue in honor of Laci Babai's 60th birthday: Combinatorics, Groups, Algorithms, and ...
Gabor Horvath, Csaba Szabo
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Three Hopf algebras from number theory, physics & topology, and their common background II: general categorical formulation [PDF]
We consider three a priori totally different setups for Hopf algebras from number theory, mathematical physics and algebraic topology. These are the Hopf algebra of Goncharov for multiple zeta values, that of Connes-Kreimer for renormalization, and a ...
Imma G'alvez-Carrillo+2 more
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A Quantum Wavelet Uncertainty Principle
In the present paper, an uncertainty principle is derived in the quantum wavelet framework. Precisely, a new uncertainty principle for the generalized q-Bessel wavelet transform, based on some q-quantum wavelet, is established. A two-parameters extension
Sabrine Arfaoui+2 more
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Homological dimension based on a class of Gorenstein flat modules
In this paper, we study the relative homological dimension based on the class of projectively coresolved Gorenstein flat modules (PGF-modules), that were introduced by Saroch and Stovicek in [26].
Dalezios, Georgios, Emmanouil, Ioannis
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On Tools for Completeness of Kleene Algebra with Hypotheses [PDF]
In the literature on Kleene algebra, a number of variants have been proposed which impose additional structure specified by a theory, such as Kleene algebra with tests (KAT) and the recent Kleene algebra with observations (KAO), or make specific ...
Damien Pous, J. Rot, Jana Wagemaker
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