Modular methods for computing the gcd of two univariate polynomials over an algebraic number field require a priori knowledge about the denominators of the ...

Abstract. Let Q(α1, ··· , αn) be an algebraic number field. In this pa- per, we present a modular gcd algorithm for computing the monic gcd,.

Aug 24, 2023 · Let be an algebraic number field. In this paper, we present a modular gcd algorithm for computing the monic gcd, g, of two polynomials.

Finding small degree factors of multivariate supersparse (lacunary) polynomials over algebraic number fields · Computing GCDs of Multivariate Polynomials over ...

Aug 28, 2023 · Let be an algebraic number field. In this paper, we present a modular gcd algorithm for computing the monic gcd, g, of two polynomials.

1 Algebraic Number Fields. 2 History. 3 Preliminaries. 4 MGCD. 5 Implementation ... We can do these computations over two ground fields F = Q and. F = Zp .

We present a modular algorithm for computing the greatest common divisor of two polynomials over an algebraic number field. Our algorithm is an application ...

We present a modular algorithm for computing the greatest common divisor of two polynomials over an algebraic number field. Our algorithm is an application ...

Our method combines previous celebrated results on sparse interpolation and computing sparsest shifts, and provides a way to handle polynomials with extremely ...

We consider the problem of computing the monic gcd of two polynomials over a number field L = Q(ai , . . . , an). Encarnacion, Langemyr and McCallum have ...