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Representations by skew forms in a finite field

โœ Scribed by L. Carlitz


Book ID
112647923
Publisher
Springer
Year
1954
Tongue
English
Weight
438 KB
Volume
5
Category
Article
ISSN
0003-889X

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Let \(F_{c}\) be a finite field with \(q\) elements, where \(q\) is a prime power which may be either odd or even. Representations of a form by another form of the same type in \(\sqrt{F}_{4}\) are studied and formulas of the number of representations are obtained. Forms considered in this paper inc

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Let F be a finite field of cliaracteristic two and'let F'xm and FIXn denote vector spaces of m-tuples and n-tuples, respectively, over P. Let Q be a quadratic form of rank m defined on FIXm and let Q, be a quadratic form of rank n defined on F I X n . Then relative to given ordered bases for .FIXm a