On the number of solutions to the equationX2= 0 in triangular matrices over a finite field
โ Scribed by A. A. Kirillov
- Publisher
- Springer US
- Year
- 1995
- Tongue
- English
- Weight
- 326 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0016-2663
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๐ SIMILAR VOLUMES
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 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