On Obláth's problem.
Gica, Alexandru, Panaitopol, Laurenţiu (2003)
Journal of Integer Sequences [electronic only]
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Gica, Alexandru, Panaitopol, Laurenţiu (2003)
Journal of Integer Sequences [electronic only]
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Integers
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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...
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Acta Arithmetica
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