Determinantal Equations Related to Hermitian Forms Over a Finite Field.
Some Polynomial Equations for Determinats over a Finite Field.
Simultaneous pairs of linear and quadratic matrix equations over a finite field.
Weighted partitions for symmetric matrices in a finite field.
A Determinantal Congruence Related to Bilinear Forms (mod p...).
Some Determinantal Equations Over a Finite Field.
Distribution of Bordered Matrices in a Finite Field.
Ranked partitions of rectangular matrices over finite fields
Per certe matrici , , , viene determinato in modo esplicito il numero delle soluzioni (, ) dell'equazione matriciale (1.1) su di un campo finito, dove le , abbiano ranghi assegnati.
Note on a linear matrix equation over a finite field
Si dà un metodo per determinare il numero delle soluzioni dell'equazione matriciale (1.1) su di un campo finito, con l'intervento di certe somme esponenziali, e lo si sviluppa completamente per e per speciali matrici .
An improved result on irregularities in distribution of sequences of integers
In 1972 the author used a result of K.F. Roth on irregularities in distribution of sequences of real numbers to prove an analogous result related to the distribution of sequences of integers in prescribed residue classes. Here, a 1972 result of W.M. Schmidt, which is an improvement of Roth's result, is used to obtain an improved result for sequences of integers.
Note on some partitions of a rectangular matrix
A complemento di risultati ottenuti da Porter in una precedente Nota lincea [5], si ottiene il numero delle soluzioni U,V per l'equazione matriciale su di un campo finito, dove e sono matrici arbitrarie e si suppone , , oppure , .
An improved result on irregularities in distribution of sequences of integers
In 1972 the author used a result of K.F. Roth on irregularities in distribution of sequences of real numbers to prove an analogous result related to the distribution of sequences of integers in prescribed residue classes. Here, a 1972 result of W.M. Schmidt, which is an improvement of Roth's result, is used to obtain an improved result for sequences of integers.
Distribution of bordered symmetric, skew and hermitian matrices in a finite field.
A note on systems of matrix equations over a finite field
Some integral matrix equations
A note on irregularities in distribution of sequences of integers
Weighted bilinear partitions for integral matrices
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