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ON FUNCTIONAL DECOMPOSITION OF MULTIVARIATE POLYNOMIALS WITH DIFFERENTIATION AND HOMOGENIZATION
Cryptosystem analysis functional decomposition homogeneous polynomials multivariate polynomial right factor space
2013/9/9
This paper gives a theoretical analysis for the algorithms to compute functional decomposition for multivariate polynomials based on differentiation and homogenization which were proposed by Ye, Dai, ...
In this paper, we prove some extensions and generalizations of the classical Eneström-Kakeya theorem.
On Multivariate Chromatic Polynomials of Hypergraphs and Hyperedge Elimination
Hypergraphs Colorings Tutte Polynomials
2011/2/21
In this paper, we consider multivariate hyperedge elimination polynomials and multivariate chromatic polynomials for hypergraphs. The rst set of polynomials is de ned in terms of a deletion-contracti...
D-polynomials and Taylor formula in quantum calculus
quantum calculus Taylor formula difference operator
2011/1/21
Quantum calculus based on the right invertible divided difference operator D is proposed here in context of algebraic analysis [9].
Relative symmetric polynomials and money change problem
Money change problem Partitions of integers
2011/1/21
This article is devoted to the number of non-negative solu-tions of the linear Diophantine equation a1t1 + a2t2 + · · · antn = d,
We present the solutions of equations of degrees 3 and 4 using Galois theory and some simple Fourier analysis for finite groups.
Large deviations for zeros of $P(\phi)_2$ random polynomials
Large deviations zeros $P(\phi)_2$ random polynomials
2010/12/13
We extend the results of [ZZ] on LDP’s (large deviations principles) for the empirical measures Zs := 1 N X :s()=0 , (N := #{ : s() = 0)} of zeros of Gaussian random polynomials s in one variab...