๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Invariance theorems for the behavior in the limit of the number of solutions of a system of random linear equations over a finite ring

โœ Scribed by A. A. Levitskaya


Publisher
Springer US
Year
1978
Tongue
English
Weight
186 KB
Volume
14
Category
Article
ISSN
1573-8337

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


On the Number of Solutions of a Linear E
โœ Vsevolod F. Lev ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 300 KB

The largest possible number of representations of an integer in the k-fold sumset kA=A+ } } } +A is maximal for A being an arithmetic progression. More generally, consider the number of solutions of the linear equation where c i {0 and \* are fixed integer coefficients, and where the variables a i

On the Number of Solutions of Diagonal E
โœ Qi Sun; Ping-Zhi Yuan ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 181 KB

In this paper, we give a reduction theorem for the number of solutions of any diagonal equation over a finite field. Using this reduction theorem and the theory of quadratic equations over a finite field, we also get an explicit formula for the number of solutions of a diagonal equation over a finit

The Number of Solutions of Bounded Heigh
โœ J.L. Thunder ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 593 KB

We count the number of solutions with height less than or equal to \(B\) to a system of linear equations over a number field. We give explicit asymptotic estimates for the number of such solutions as \(B\) goes to infinity, where the constants involved depend on the classical invariants of the numbe