Zeros of a Pair of Quadratic Forms Defin
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David B. Leep; Laura Mann Schueller
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Article
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1999
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Elsevier Science
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English
β 155 KB
Let N be the number of affine zeros of a pair of quadratic forms in n#1 variables defined over a finite field F O . We give upper and lower bounds for N and show that these bounds are optimal. One result states that if n#1510 and every quadratic form in the pencil has order at least three, then "N!q