Add to ORKGAbstract. The Galois ring is a finite extension of the ring of inte-gers modulo a prime power. We consider characters on Galois rings. In analogy with finite fields, we investigate complete Gauss sums over Galois rings. In particular, we analyze [1, Proposition 3] and give some lemmas related to [1, Proposition 3]. 1
In this paper we wish to point out the existence of a close connection between irreducible cyclic co...
The main purpose of this paper is to study the computational problem of one kind rational polynomial...
An elementary approach is shown which derives the values of the Gauss sums over F_(p^r) , p odd, of...
In this article we shall prove Stickelberger’s theorem using factorisation of Gauss sums. This theor...
The theory of abelian and non-abelian L-functions is developed with a view to providing an understan...
The theory of abelian and non-abelian L-functions is developed with a view to providing an understan...
This paper is a summary of some papers [4,5,6] such that using special commutative group algebras, w...
In this note, certain congruences for Gauss sums over the finite field GF (pf) are studied. Especial...
AbstractAccording to a celebrated conjecture of Gauss, there are infinitely many real quadratic fiel...
Throughout the paper, for any positive integer k, k will denote a primitive k'th root of unity....
AbstractIn a previous paper [J. Number Theory, 39 (1991), 50-64], we obtained a basic relationship b...
AbstractIn a previous paper [J. Number Theory, 39 (1991), 50-64], we obtained a basic relationship b...
In this note we generalize some results from finite fields to Galois rings which are finite extensio...
In this note we generalize some results from finite fields to Galois rings which are finite extensio...
In this paper we wish to point out the existence of a close connection between irreducible cyclic co...
In this paper we wish to point out the existence of a close connection between irreducible cyclic co...
The main purpose of this paper is to study the computational problem of one kind rational polynomial...
An elementary approach is shown which derives the values of the Gauss sums over F_(p^r) , p odd, of...
In this article we shall prove Stickelberger’s theorem using factorisation of Gauss sums. This theor...
The theory of abelian and non-abelian L-functions is developed with a view to providing an understan...
The theory of abelian and non-abelian L-functions is developed with a view to providing an understan...
This paper is a summary of some papers [4,5,6] such that using special commutative group algebras, w...
In this note, certain congruences for Gauss sums over the finite field GF (pf) are studied. Especial...
AbstractAccording to a celebrated conjecture of Gauss, there are infinitely many real quadratic fiel...
Throughout the paper, for any positive integer k, k will denote a primitive k'th root of unity....
AbstractIn a previous paper [J. Number Theory, 39 (1991), 50-64], we obtained a basic relationship b...
AbstractIn a previous paper [J. Number Theory, 39 (1991), 50-64], we obtained a basic relationship b...
In this note we generalize some results from finite fields to Galois rings which are finite extensio...
In this note we generalize some results from finite fields to Galois rings which are finite extensio...
In this paper we wish to point out the existence of a close connection between irreducible cyclic co...
In this paper we wish to point out the existence of a close connection between irreducible cyclic co...
The main purpose of this paper is to study the computational problem of one kind rational polynomial...
An elementary approach is shown which derives the values of the Gauss sums over F_(p^r) , p odd, of...