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Small zeros of quadratic forms modulo p

โœ Scribed by Todd Cochrane


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
276 KB
Volume
33
Category
Article
ISSN
0022-314X

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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