Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135443/1/jlms0657.pd
We consider systems of polynomial equations and inequalities to be solved in integers. By applying t...
AbstractWe prove a necessary condition for the Diophantine equation Gm = P(x), with Gm a second orde...
The title alludes to a similar title of the paper [3] by Grunewald and Segal, in which it is shown h...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135196/1/blms0556.pd
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135280/1/jlms0025.pd
When f ( x ) is a cubic polynomial with integral coefficients, we show that almost all integers rep...
1. Let f (x1, x2, ..., xn) be a homogeneous form with real coefficients in n variables x1, x2, ..., ...
AbstractThe units in cubic number fields together with the uniform distribution theorem are used to ...
AbstractWe prove that every cubic form in 16 variables over an algebraic number field represents zer...
Problems related to the existence of integral and rational points on cubic curves date back at least...
In this thesis, we consider conditions under which certain quadratic and cubic Diophantine inequalit...
AbstractSufficient conditions for a cubic form ω in n variables to be representable as a sum of cube...
Let K be an algebraic number field, and let h(x)=x3+ax be a polynomial over K. We prove that there e...
Let C be a cubic form with integer coefficients in n variables, and let h be the h-invariant of C. L...
AbstractEstimates are given for the number of variables required to solve p-adic equations. In parti...
We consider systems of polynomial equations and inequalities to be solved in integers. By applying t...
AbstractWe prove a necessary condition for the Diophantine equation Gm = P(x), with Gm a second orde...
The title alludes to a similar title of the paper [3] by Grunewald and Segal, in which it is shown h...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135196/1/blms0556.pd
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135280/1/jlms0025.pd
When f ( x ) is a cubic polynomial with integral coefficients, we show that almost all integers rep...
1. Let f (x1, x2, ..., xn) be a homogeneous form with real coefficients in n variables x1, x2, ..., ...
AbstractThe units in cubic number fields together with the uniform distribution theorem are used to ...
AbstractWe prove that every cubic form in 16 variables over an algebraic number field represents zer...
Problems related to the existence of integral and rational points on cubic curves date back at least...
In this thesis, we consider conditions under which certain quadratic and cubic Diophantine inequalit...
AbstractSufficient conditions for a cubic form ω in n variables to be representable as a sum of cube...
Let K be an algebraic number field, and let h(x)=x3+ax be a polynomial over K. We prove that there e...
Let C be a cubic form with integer coefficients in n variables, and let h be the h-invariant of C. L...
AbstractEstimates are given for the number of variables required to solve p-adic equations. In parti...
We consider systems of polynomial equations and inequalities to be solved in integers. By applying t...
AbstractWe prove a necessary condition for the Diophantine equation Gm = P(x), with Gm a second orde...
The title alludes to a similar title of the paper [3] by Grunewald and Segal, in which it is shown h...
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