Jacobi sums over finite fields
نویسندگان
چکیده
منابع مشابه
Pure Gauss Sums over Finite Fields
New classes of pairs e,p are presented for which the Gauss sums corresponding to characters of order e over finite fields of characteristic p are pure, i.e., have a real power. Certain pure Gauss sums are explicitly evaluated. §
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Article history: Received 31 August 2011 Revised 16 December 2011 Accepted 11 April 2012 Available online 25 April 2012 Communicated by L. Storme MSC: 05B25 11T24 11T71
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Let F q be the finite field of q elements with characteristic p and F q m its extension of degree m. Fix a nontrivial additive character ψ of F p. For any Laurent polynomial −1 n ], we form the exponential sum S * m (f) := The corresponding L-function L * (f, t) is defined by L * (f, t) := exp (∞ ∑ m=0 S * m (f) t m m). The corresponding L-function L(f, t) is defined as follows L(f, t) := exp (...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 2002
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa102-1-1