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pro vyhledávání: '"A. Zenine"'
This paper is a plea for diagonals and telescopers of rational, or algebraic, functions using creative telescoping, in a computer algebra experimental mathematics learn-by-examples approach. We show that diagonals of rational functions (and this is a
Externí odkaz:
http://arxiv.org/abs/2310.06963
Publikováno v:
Universe, Vol 10, Iss 2, p 71 (2024)
This paper is a plea for diagonals and telescopers of rational or algebraic functions using creative telescoping, using a computer algebra experimental mathematics learn-by-examples approach. We show that diagonals of rational functions (and this is
Externí odkaz:
https://doaj.org/article/edd22ebf3d9a4b0893c6d064ebe5278b
Akademický článek
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We previously reported on a recursive method to generate the expansion of the lattice Green function of the $d$-dimensional face-centred cubic lattice (fcc). The method was used to generate many coefficients for d=7 and the corresponding linear diffe
Externí odkaz:
http://arxiv.org/abs/1601.05657
We present a recursive method to generate the expansion of the lattice Green function of the d-dimensional face-centred cubic (fcc) lattice. We produce a long series for d =7. Then we show (and recall) that, in order to obtain the linear differential
Externí odkaz:
http://arxiv.org/abs/1409.8615
Autor:
Biau, Gérard, Zenine, Ryad
Distributed computing offers a high degree of flexibility to accommodate modern learning constraints and the ever increasing size of datasets involved in massive data issues. Drawing inspiration from the theory of distributed computation models devel
Externí odkaz:
http://arxiv.org/abs/1407.4373
Autor:
Bostan, A., Boukraa, S., Hassani, S., van Hoeij, M., Maillard, J. -M., Weil, J-A., Zenine, N.
We show that almost all the linear differential operators factors obtained in the analysis of the n-particle contribution of the susceptibility of the Ising model for $\, n \le 6$, are operators "associated with elliptic curves". Beyond the simplest
Externí odkaz:
http://arxiv.org/abs/1007.0535
We review developments made since 1959 in the search for a closed form for the susceptibility of the Ising model. The expressions for the form factors in terms of the nome $q$ and the modulus $k$ are compared and contrasted. The $\lambda$ generalized
Externí odkaz:
http://arxiv.org/abs/1003.0751
Autor:
Nickel, B., Jensen, I., Boukraa, S., Guttmann, A. J., Hassani, S., Maillard, J. -M., Zenine, N.
We obtain in exact arithmetic the order 24 linear differential operator $L_{24}$ and right hand side $E^{(5)}$ of the inhomogeneous equation$L_{24}(\Phi^{(5)}) = E^{(5)}$, where $\Phi^{(5)} =\tilde{\chi}^{(5)}-\tilde{\chi}^{(3)}/2+\tilde{\chi}^{(1)}/
Externí odkaz:
http://arxiv.org/abs/1002.0161
This paper deals with $\tilde{\chi}^{(6)}$, the six-particle contribution to the magnetic susceptibility of the square lattice Ising model. We have generated, modulo a prime, series coefficients for $\tilde{\chi}^{(6)}$. The length of the series is s
Externí odkaz:
http://arxiv.org/abs/0912.4968