The Diophantine equation in three quadratic fields.
Szabó, Sándor (2004)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Displaying similar documents to “Modular Integer Arithmetic”
The Diophantine equation in three quadratic fields.
Gauss Lemma and Law of Quadratic Reciprocity
Li Yan, Xiquan Liang, Junjie Zhao (2008)
Formalized Mathematics
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In this paper, we defined the quadratic residue and proved its fundamental properties on the base of some useful theorems. Then we defined the Legendre symbol and proved its useful theorems [14], [12]. Finally, Gauss Lemma and Law of Quadratic Reciprocity are proven.MML identifier: INT 5, version: 7.8.05 4.89.993
Extensions of the Gauss-Wilson theorem.
Cosgrave, John B., Dilcher, Karl (2008)
Integers
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Tribonacci modulo
Jiří Klaška (2008)
Mathematica Bohemica
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Our research was inspired by the relations between the primitive periods of sequences obtained by reducing Tribonacci sequence by a given prime modulus and by its powers , which were deduced by M. E. Waddill. In this paper we derive similar results for the case of a Tribonacci sequence that starts with an arbitrary triple of integers.
-radicals and -radicals in the category of modules.
Timoshenko, E.A. (2004)
Sibirskij Matematicheskij Zhurnal
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The cube of the Fermat quotient.
Dilcher, Karl, Skula, Ladislav (2006)
Integers
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Tribonacci modulo and
Jiří Klaška (2008)
Mathematica Bohemica
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Our previous research was devoted to the problem of determining the primitive periods of the sequences where is a Tribonacci sequence defined by an arbitrary triple of integers. The solution to this problem was found for the case of powers of an arbitrary prime . In this paper, which could be seen as a completion of our preceding investigation, we find solution for the case of singular primes .