DOIAbstract
AbstractIf F is a form of odd degree k with real coefficients in s variables where s ≥ c1(k), then there are integers x1,… xs not all zero, with |F(x1,… xs)| < 1
AbstractIf F is a form of odd degree k with real coefficients in s variables where s ≥ c1(k), then there are integers x1,… xs not all zero, with |F(x1,… xs)| < 1
The study of diophantine inequalities began with the work of Davenport and Heil-bronn [8], who showe...
To solve many Diophantine equations it often requires good lower bounds for linear forms in the loga...
Certain Diophantine conjectures are proven, and to do so certain remarkable classes of orthogonal po...
AbstractIf F is a form of odd degree k with real coefficients in s variables where s ≥ c1(k), then t...
In this thesis, we consider conditions under which certain quadratic and cubic Diophantine inequalit...
AbstractLet d, d1, d2 ϵ N be square free with d=d1d2, and let h(-d) and IK denote the class number a...
Denote by s(r)0 the least integer such that if s⩾s(r)0 , and F is a cubic form with real coe...
Heilbronn proved that for any epsilon > 0 there exists a number C (epsilon) such that for any real n...
AbstractWe consider systems of quadratic diophantine inequlities. For example, suppose that Q1 and Q...
We discuss small solutions to ternary diagonal inequalities of any degree where all of the variables...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135280/1/jlms0025.pd
Knowledge about integers and representations of numbersThe sum of the first n odd positive integers ...
Let α be an algebraic number of degree d ≥ 3 and let K be the algebraic number field Q(α). When ε is...
Abstract. We consider the number of integral solutions to the inequality |F (x) | ≤ m, where F (X) ...
summary:Let $k\geq 5$ be an odd integer and $\eta $ be any given real number. We prove that if $\lam...
The study of diophantine inequalities began with the work of Davenport and Heil-bronn [8], who showe...
To solve many Diophantine equations it often requires good lower bounds for linear forms in the loga...
Certain Diophantine conjectures are proven, and to do so certain remarkable classes of orthogonal po...
AbstractIf F is a form of odd degree k with real coefficients in s variables where s ≥ c1(k), then t...
In this thesis, we consider conditions under which certain quadratic and cubic Diophantine inequalit...
AbstractLet d, d1, d2 ϵ N be square free with d=d1d2, and let h(-d) and IK denote the class number a...
Denote by s(r)0 the least integer such that if s⩾s(r)0 , and F is a cubic form with real coe...
Heilbronn proved that for any epsilon > 0 there exists a number C (epsilon) such that for any real n...
AbstractWe consider systems of quadratic diophantine inequlities. For example, suppose that Q1 and Q...
We discuss small solutions to ternary diagonal inequalities of any degree where all of the variables...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135280/1/jlms0025.pd
Knowledge about integers and representations of numbersThe sum of the first n odd positive integers ...
Let α be an algebraic number of degree d ≥ 3 and let K be the algebraic number field Q(α). When ε is...
Abstract. We consider the number of integral solutions to the inequality |F (x) | ≤ m, where F (X) ...
summary:Let $k\geq 5$ be an odd integer and $\eta $ be any given real number. We prove that if $\lam...
The study of diophantine inequalities began with the work of Davenport and Heil-bronn [8], who showe...
To solve many Diophantine equations it often requires good lower bounds for linear forms in the loga...
Certain Diophantine conjectures are proven, and to do so certain remarkable classes of orthogonal po...
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