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On the Number of Solutions to Polynomial Systems of Equations

✍ Scribed by Garcia, C. B.; Li, T. Y.


Book ID
118186942
Publisher
Society for Industrial and Applied Mathematics
Year
1980
Tongue
English
Weight
728 KB
Volume
17
Category
Article
ISSN
0036-1429

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On the Number of Solutions of Polynomial
✍ M. Boguslavsky πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 247 KB

We consider systems of homogenous polynomial equations of degree d in a projective space ‫ސ‬ m over a finite field ‫ކ‬ q . We attempt to determine the maximum possible number of solutions of such systems. The complete answer for the case r Ο­ 2, d Ο½ q Οͺ 1 is given, as well as new conjectures about th