AbstractWe make a start on the investigation of “small” solutions to systems of homogeneous linear equations over non-commutative division algebras. In this paper we prove some upper and lower bounds for the sizes of solutions to such systems. To measure solutions and coefficient matrices we define heights which satisfy natural invariance and finiteness properties
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135196/1/blms0556.pd
AbstractA general theorem for providing a class of combinatorial identities where the sum is over al...
AbstractGiven a system of polynomial equations over a finite field, estimating the p-divisibility of...
AbstractWe make a start on the investigation of “small” solutions to systems of homogeneous linear e...
We make a start on the investigation of “small” solutions to systems of homogeneous linear equations...
AbstractLet {wi,j}1⩽i⩽n,1⩽j⩽s⊂Lm=F(X1,…,Xm)[∂∂X1,…,∂∂Xm] be linear partial differential operators of...
AbstractThis paper obtains a result on the finiteness of the number of integer solutions to decompos...
Consider a system of $m$ balanced linear equations in $k$ variables with coefficients in $\mathbb{F}...
Our goal is to finally settle the persistent problem in Diophantine Approximation of finding best in...
AbstractTextLet K be a number field, Q¯, or the field of rational functions on a smooth projective c...
AbstractLet Vf denote the value set (image) of a polynomial f∈Fq[x]. We relate the number of polynom...
AbstractFrom the existence of a tower of algebraic function fields with more steps than the Garcia–S...
AbstractLet P(X)=1+a1X+a2X2+⋯ be a monic power series in X with indeterminates a1,a2,… as coefficien...
AbstractBy a general degree argument V. Strassen has obtained sharp lower bounds for the number of m...
AbstractA matrix M is nilpotent of index 2 if M2=0. Let V be a space of nilpotent n×n matrices of in...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135196/1/blms0556.pd
AbstractA general theorem for providing a class of combinatorial identities where the sum is over al...
AbstractGiven a system of polynomial equations over a finite field, estimating the p-divisibility of...
AbstractWe make a start on the investigation of “small” solutions to systems of homogeneous linear e...
We make a start on the investigation of “small” solutions to systems of homogeneous linear equations...
AbstractLet {wi,j}1⩽i⩽n,1⩽j⩽s⊂Lm=F(X1,…,Xm)[∂∂X1,…,∂∂Xm] be linear partial differential operators of...
AbstractThis paper obtains a result on the finiteness of the number of integer solutions to decompos...
Consider a system of $m$ balanced linear equations in $k$ variables with coefficients in $\mathbb{F}...
Our goal is to finally settle the persistent problem in Diophantine Approximation of finding best in...
AbstractTextLet K be a number field, Q¯, or the field of rational functions on a smooth projective c...
AbstractLet Vf denote the value set (image) of a polynomial f∈Fq[x]. We relate the number of polynom...
AbstractFrom the existence of a tower of algebraic function fields with more steps than the Garcia–S...
AbstractLet P(X)=1+a1X+a2X2+⋯ be a monic power series in X with indeterminates a1,a2,… as coefficien...
AbstractBy a general degree argument V. Strassen has obtained sharp lower bounds for the number of m...
AbstractA matrix M is nilpotent of index 2 if M2=0. Let V be a space of nilpotent n×n matrices of in...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135196/1/blms0556.pd
AbstractA general theorem for providing a class of combinatorial identities where the sum is over al...
AbstractGiven a system of polynomial equations over a finite field, estimating the p-divisibility of...
DOI
Add to ORKG