AbstractWe shall establish for all finite fields GF(pn) the following result of Chowla: given a positive integer m greater than one and the finite field GF(p), p a prime, such that xm = −1 is solvable in GF(p), then there exists an absolute positive constant c, c ≤ 10ln 2, such that for each set of s nonzero elements ai of GF(p), a1x1m + ⋯ + asxsm has a non-trivial zero in GF(p) if s ≥ c ln m
AbstractLet Q(x) = Q(x1, …, x4) be a quadratic form with integer coefficients and let p denote a pri...
AbstractWe extend to finite fields in general the results proved, in a recent paper (J. Number Theor...
This handout discusses finite fields: how to construct them, properties of elements in a finite fiel...
AbstractIn this paper, we obtain a sufficient condition for the diagonal equation to have only the t...
AbstractLet F be a finite field with q=pf elements, where p is a prime. Let N be the number of solut...
AbstractLet Ms, be the number of solutions of the equation X13 + X23+ … + Xs3=0 in the finite field ...
In this paper we consider systems of diagonal forms with integer coefficients in which each form has...
AbstractAn elementary proof of the Weil conjectures is given for the special case of a non-singular ...
Let Ms, be the number of solutions of the equation X13+ X23+ … + Xs3=0 in the finite field GF(...
AbstractLet Fq be a finite field with q=pfelements, where p is a prime number and f is a positive in...
AbstractBy using results of coding theory, we give results on the number of solutions of some system...
In this paper, it was learned of the necessary and sufficient condition for finite field with pn ele...
AbstractBy using results of coding theory, we give results on the number of solutions of some system...
This book is concerned with the arithmetic of diagonal hypersurfaces over finite fields
SIGLEAvailable from British Library Document Supply Centre-DSC:DXN020469 / BLDSC - British Library D...
AbstractLet Q(x) = Q(x1, …, x4) be a quadratic form with integer coefficients and let p denote a pri...
AbstractWe extend to finite fields in general the results proved, in a recent paper (J. Number Theor...
This handout discusses finite fields: how to construct them, properties of elements in a finite fiel...
AbstractIn this paper, we obtain a sufficient condition for the diagonal equation to have only the t...
AbstractLet F be a finite field with q=pf elements, where p is a prime. Let N be the number of solut...
AbstractLet Ms, be the number of solutions of the equation X13 + X23+ … + Xs3=0 in the finite field ...
In this paper we consider systems of diagonal forms with integer coefficients in which each form has...
AbstractAn elementary proof of the Weil conjectures is given for the special case of a non-singular ...
Let Ms, be the number of solutions of the equation X13+ X23+ … + Xs3=0 in the finite field GF(...
AbstractLet Fq be a finite field with q=pfelements, where p is a prime number and f is a positive in...
AbstractBy using results of coding theory, we give results on the number of solutions of some system...
In this paper, it was learned of the necessary and sufficient condition for finite field with pn ele...
AbstractBy using results of coding theory, we give results on the number of solutions of some system...
This book is concerned with the arithmetic of diagonal hypersurfaces over finite fields
SIGLEAvailable from British Library Document Supply Centre-DSC:DXN020469 / BLDSC - British Library D...
AbstractLet Q(x) = Q(x1, …, x4) be a quadratic form with integer coefficients and let p denote a pri...
AbstractWe extend to finite fields in general the results proved, in a recent paper (J. Number Theor...
This handout discusses finite fields: how to construct them, properties of elements in a finite fiel...
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