Schinzel’s conjecture and divisibility of class number
Stanislav Jakubec (2003)
Mathematica Slovaca
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Stanislav Jakubec (2003)
Mathematica Slovaca
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Müller, Tom, Reinhart, Andreas (2008)
Journal of Integer Sequences [electronic only]
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W. Narkiewicz (1983)
Acta Arithmetica
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Richard Hudson, Kenneth Williams (1982)
Acta Arithmetica
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Szabó, Sándor (2004)
Integers
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Cosgrave, John B., Dilcher, Karl (2008)
Integers
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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...