On divisibility of one special type of numbers
Jaroslav Seibert, Pavel Trojovský (2001)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Jaroslav Seibert, Pavel Trojovský (2001)
Acta Mathematica et Informatica Universitatis Ostraviensis
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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...
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 .
A. Rotkiewicz (1983)
Acta Arithmetica
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Jerzy Urbanowicz (1988)
Acta Arithmetica
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Richard Hudson, Kenneth Williams (1982)
Acta Arithmetica
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