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Bivariate Polynomials Modulo Composites and their Applications
algebraic curves bivariate polynomials cryptographic commitments
2016/1/7
We investigate the hardness of finding solutions to bivariate
polynomial congruences modulo RSA composites. We establish necessary
conditions for a bivariate polynomial to be one-way, second preimag...
Fejer-Riesz factorizations and the structure of bivariate polynomials orthogonal on the bi-circle
Fejer-Riesz factorizations the structure of bivariate polynomials orthogonal the bi-circle Complex Variables
2012/6/29
We give a complete characterization of the positive trigonometric polynomials Q(\theta,\phi) on the bi-circle, which can be factored as Q(\theta,\phi)=|p(e^{i\theta},e^{i\phi})|^2 where p(z,w) is a po...
A strategy for recovering roots of bivariate polynomials modulo a prime
recovering roots bivariate polynomials modulo prime
2009/6/15
We show how, when given an irreducible bivariate polynomial with
coefficients in a finite prime field and an approximation to one of its
roots, one can recover that root efficiently, if the approxim...
Approximation of $B$-Continuous and $B$-Differentiable Functions by GBS Operators of Bernstein Bivariate Polynomials
Linear positive operators Bernstein bivariate polynomials GBS operators $B$-differentiable functions
2008/7/2
In this paper we give an approximation of B-continuous and B -differentiable functions by GBS operators of Bernstein bivariate polynomials.