this paper can be rewritten to uniformly utilize the ring Z[w]=Z+Zw instead of the Gaussian ring Z[i], where w is a primitive root of unity---i.e.,
This paper considers three algorithms for the extraction of square roots of complex integers {called...
Integer solution equations is a very interesting and difficult field of mathematics. It is presented...
Throughout this paper, small case Latin letters, with the exception of i which has its usual mathema...
A Gaussian integer is a complex number of the form a+bi, where both a and b are integers. The set of...
A rig is a riNg without Negatives. We analyse the free rig on a generator x subject to the equivalen...
This thesis deals with quadratic integer rings, in particular the Gaussian integers Z}[i]. Concepts ...
Gaussian integer is one of basic algebraic integers. In this article we formalize some definitions a...
The Montgomery multiplication is an efficient method for modular arithmetic. Typically, it is used f...
The primary purpose of this thesis is to give a substantial generalization of the set of integers Z,...
Abstract. The content of a polynomial f over a commutative ring R is the ideal c(f) of R generated b...
Let G be a univariate Gaussian rational polynomial (a polynomial with Gaussian rational coefficients...
A complex-valued function is applied to the Gaussian integers in a square centered at the origin, sh...
Modular arithmetic over integers is required for many cryptography systems. Montgomeryreduction is a...
Prsten Gaussovih cijelih brojeva \(\mathbb{Z} [i]\)generalizacija je prstena cijelih brojeva \(\mat...
This paper synthesizes formally orthogonal polynomials, Gaussian quadrature in the complex plane and...
This paper considers three algorithms for the extraction of square roots of complex integers {called...
Integer solution equations is a very interesting and difficult field of mathematics. It is presented...
Throughout this paper, small case Latin letters, with the exception of i which has its usual mathema...
A Gaussian integer is a complex number of the form a+bi, where both a and b are integers. The set of...
A rig is a riNg without Negatives. We analyse the free rig on a generator x subject to the equivalen...
This thesis deals with quadratic integer rings, in particular the Gaussian integers Z}[i]. Concepts ...
Gaussian integer is one of basic algebraic integers. In this article we formalize some definitions a...
The Montgomery multiplication is an efficient method for modular arithmetic. Typically, it is used f...
The primary purpose of this thesis is to give a substantial generalization of the set of integers Z,...
Abstract. The content of a polynomial f over a commutative ring R is the ideal c(f) of R generated b...
Let G be a univariate Gaussian rational polynomial (a polynomial with Gaussian rational coefficients...
A complex-valued function is applied to the Gaussian integers in a square centered at the origin, sh...
Modular arithmetic over integers is required for many cryptography systems. Montgomeryreduction is a...
Prsten Gaussovih cijelih brojeva \(\mathbb{Z} [i]\)generalizacija je prstena cijelih brojeva \(\mat...
This paper synthesizes formally orthogonal polynomials, Gaussian quadrature in the complex plane and...
This paper considers three algorithms for the extraction of square roots of complex integers {called...
Integer solution equations is a very interesting and difficult field of mathematics. It is presented...
Throughout this paper, small case Latin letters, with the exception of i which has its usual mathema...