Quartic residues and binary quadratic fo
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Zhi-Hong Sun
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Article
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2005
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Elsevier Science
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English
β 426 KB
Let p β‘ 1 (mod 4) be a prime, m β Z and p m. In this paper we obtain a general criterion for m to be a quartic residue (mod p) in terms of appropriate binary quadratic forms. Let d > 1 be a squarefree integer such that ( d p ) = 1, where ( d p ) is the Legendre symbol, and let d be the fundamental u