Add to ORKGAbstract. Given a quadratic form and M linear forms in N + 1 variables with coe±cients in a number ¯eld K, suppose that there exists a point in KN+1 at which the quadratic form vanishes and all the linear forms do not. Then we show that there exists a point like this of relatively small height. This generalizes a result of D.W. Masser. x1. Introduction and notation. Let F (X;Y) = NX i=0 N
Abstract. Given an arbitrary n, we consider anisotropic quadratic forms of dimension n over all fiel...
AbstractLet F(x1,…,xn) be a nonsingular indefinite quadratic form, n=3 or 4. For n=4, suppose the de...
In this thesis, we introduce the notion of quadratic forms and provide motivation for their study. W...
Abstract. Given a quadratic form and M linear forms in N + 1 variables with coe±cients in a number ¯...
Given a quadratic form and M linear forms in N + 1 variables with coefficients in a number field K, ...
In 1955 J. W. S. Cassels proved that if an integral quadratic form has a non-trivial rational zero t...
Let Q(x) = ∑<SUP>n</SUP><SUB>f-1</SUB> ∑<SUP>n</SUP><SUB>f-1</SUB> q<SUB>f5</SUB> x<SUB>i</SUB>x<SUB...
In this survey paper, we discuss the classical Cassels\u27 theorem on existence of small-height zero...
Let be a quadratic form in variables defined on a vector space over a global field , and be a fi...
Given quadratic forms q 1,..., q k, two questions are studied: Under what conditions does the set of...
In this paper we establish three results on small-height zeros of quadratic polynomials over Q. For ...
textWe treat a few related problems about the existence of algebraic points of small height that sa...
Lecture given during the West Coast Number Theory Conference in Pacific Grove, CA, December 2001
In this talk, I will discuss a variety of results on existence of points and subspaces of bounded he...
AbstractWe show that all p-adic quintic forms in at least n>4562911 variables have a non-trivial zer...
Abstract. Given an arbitrary n, we consider anisotropic quadratic forms of dimension n over all fiel...
AbstractLet F(x1,…,xn) be a nonsingular indefinite quadratic form, n=3 or 4. For n=4, suppose the de...
In this thesis, we introduce the notion of quadratic forms and provide motivation for their study. W...
Abstract. Given a quadratic form and M linear forms in N + 1 variables with coe±cients in a number ¯...
Given a quadratic form and M linear forms in N + 1 variables with coefficients in a number field K, ...
In 1955 J. W. S. Cassels proved that if an integral quadratic form has a non-trivial rational zero t...
Let Q(x) = ∑<SUP>n</SUP><SUB>f-1</SUB> ∑<SUP>n</SUP><SUB>f-1</SUB> q<SUB>f5</SUB> x<SUB>i</SUB>x<SUB...
In this survey paper, we discuss the classical Cassels\u27 theorem on existence of small-height zero...
Let be a quadratic form in variables defined on a vector space over a global field , and be a fi...
Given quadratic forms q 1,..., q k, two questions are studied: Under what conditions does the set of...
In this paper we establish three results on small-height zeros of quadratic polynomials over Q. For ...
textWe treat a few related problems about the existence of algebraic points of small height that sa...
Lecture given during the West Coast Number Theory Conference in Pacific Grove, CA, December 2001
In this talk, I will discuss a variety of results on existence of points and subspaces of bounded he...
AbstractWe show that all p-adic quintic forms in at least n>4562911 variables have a non-trivial zer...
Abstract. Given an arbitrary n, we consider anisotropic quadratic forms of dimension n over all fiel...
AbstractLet F(x1,…,xn) be a nonsingular indefinite quadratic form, n=3 or 4. For n=4, suppose the de...
In this thesis, we introduce the notion of quadratic forms and provide motivation for their study. W...