The cube of the Fermat quotient.
Dilcher, Karl, Skula, Ladislav (2006)
Integers
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Dilcher, Karl, Skula, Ladislav (2006)
Integers
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Granville, Andrew (2004)
Integers
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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.
A. Rotkiewicz (1983)
Acta Arithmetica
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Andrzej Schinzel (1975)
Acta Arithmetica
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Gica, Alexandru, Panaitopol, Laurenţiu (2003)
Journal of Integer Sequences [electronic only]
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Cosgrave, John B., Dilcher, Karl (2008)
Integers
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Takashi Azuhata (1985)
Acta Arithmetica
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Peter J. Hilton, Jennifer Hooper, Jean Pedersen (1989)
Publicacions Matemàtiques
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Let t, b be mutually prime positive integers. We say that the residue class t mod b is basic if there exists n such that t ≡ -1 mod b; otherwise t is not basic. In this paper we relate the basic character of t mod b to the quadratic character of t modulo the prime factors of b. If all prime factors p of b satisfy p ≡ 3 mod 4, then t is basic mod b if t is a quadratic non-residue mod p for all such p; and t is not basic mod b if t is a quadratic residue mod p for all such p. If, for all...