On the Number of Solutions of Polynomial
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M. Boguslavsky
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Article
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1997
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Elsevier Science
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English
β 247 KB
We consider systems of homogenous polynomial equations of degree d in a projective space β«ήβ¬ m over a finite field β«ήβ¬ 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