Results 11 to 20 of about 466 (33)
A Fast Approach to Creative Telescoping [PDF]
, 2010 In this note we reinvestigate the task of computing creative telescoping relations in differential-difference operator algebras. Our approach is based on an ansatz that explicitly includes the denominators of the delta parts.
Koutschan, Christoph
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On the kernel of a singular integral operator with non-carleman shift and conjugation [PDF]
, 2015 On the Hilbert space (L) over tilde (2)(T) the singular integral operator with non-Carleman shift and conjugation K = P+ +(aI + AC)P- is considered, where P-+/- are the Cauchy projectors, A = (m)Sigma(j=0) a(j)U(j), a, a(j), j = (1, m) over bar, are ...
Conceição, Ana C., Marreiros, Rui C.
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The short resolution of a semigroup algebra [PDF]
, 2017 This work generalizes the short resolution given in Proc. Amer. Math. Soc. \textbf{131}, 4, (2003), 1081--1091, to any affine semigroup. Moreover, a characterization of Ap\'{e}ry sets is given.
Ojeda, Ignacio +1 more
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Progress on Polynomial Identity Testing - II [PDF]
, 2014 We survey the area of algebraic complexity theory; with the focus being on the problem of polynomial identity testing (PIT). We discuss the key ideas that have gone into the results of the last few years.Comment: 17 pages, 1 figure ...
Saxena, Nitin
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Classification of Filiform Lie Algebras up to dimension 7 Over Finite Fields
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 This paper tries to develop a recent research which consists in using Discrete Mathematics as a tool in the study of the problem of the classification of Lie algebras in general, dealing in this case with filiform Lie algebras up to dimension 7 over ...
Falcón Óscar J. +4 more
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A Reduction Method for Higher Order Variational Equations of Hamiltonian Systems [PDF]
, 2011 Let $\mathbf{k}$ be a differential field and let $[A]\,:\,Y'=A\,Y$ be a linear differential system where $A\in\mathrm{Mat}(n\,,\,\mathbf{k})$. We say that $A$ is in a reduced form if $A\in\mathfrak{g}(\bar{\mathbf{k}})$ where $\mathfrak{g}$ is the Lie ...
Aparicio, Ainhoa, Weil, Jacques-Arthur
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Analysis of a certain polycyclic-group-based cryptosystem
Journal of Mathematical Cryptology, 2015 We investigate security properties of the Anshel–Anshel–Goldfeld commutator key-establishment protocol [Math. Res. Lett. 6 (1999), 287–291] used with certain polycyclic groups described by Eick and Kahrobaei [http://arxiv.org/abs/math.GR/0411077].
Kotov Matvei, Ushakov Alexander
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A generalization of Kruskal–Katona’s theorem
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 Let K be a field, E the exterior algebra of a finite dimensional K-vector space, and F a finitely generated graded free E-module with homogeneous basis g1, . . ., gr such that deg g1 ≤ deg g2 ≤ · · · ≤ deg gr.
Amata Luca, Crupi Marilena
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper, the maximal abelian dimension is algorithmically and computationally studied for the Lie algebra hn, of n×n upper-triangular matrices. More concretely, we define an algorithm to compute abelian subalgebras of hn besides programming its ...
Ceballos Manuel +2 more
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Cryptanalysis of matrix conjugation schemes
Journal of Mathematical Cryptology, 2014 In this paper we cryptanalyze two protocols: the Grigoriev–Shpilrain authentication protocol and a public key cryptosystem due to Wang, Wang, Cao, Okamoto and Shao.
Myasnikov Alex D., Ushakov Alexander
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