Simultaneous Pellian equations with a single or no solution
Alain Togbé, Bo He (2008)
Acta Arithmetica
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Alain Togbé, Bo He (2008)
Acta Arithmetica
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Lindström, B. (1999)
Portugaliae Mathematica
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L. Carlitz (1972)
Rendiconti del Seminario Matematico della Università di Padova
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Florian Luca, P. G. Walsh (2004)
Colloquium Mathematicae
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We show that there exist infinitely many positive integers r not of the form (p-1)/2 - ϕ(p-1), thus providing an affirmative answer to a question of Neville Robbins.
T. W. Müller, J.-C. Schlage-Puchta (2004)
Acta Arithmetica
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Kui Liu (2010)
Acta Arithmetica
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Walter Carlip, Lawrence Somer (2007)
Colloquium Mathematicae
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Let d be a fixed positive integer. A Lucas d-pseudoprime is a Lucas pseudoprime N for which there exists a Lucas sequence U(P,Q) such that the rank of appearance of N in U(P,Q) is exactly (N-ε(N))/d, where the signature ε(N) = (D/N) is given by the Jacobi symbol with respect to the discriminant D of U. A Lucas d-pseudoprime N is a primitive Lucas d-pseudoprime if (N-ε(N))/d is the maximal rank of N among Lucas sequences U(P,Q) that exhibit N as a Lucas pseudoprime. ...
Stephen D. Cohen, Sophie Huczynska (2003)
Acta Arithmetica
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Yonghui Wang, Claus Bauer (2004)
Acta Arithmetica
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Rice, Brian (2007)
Integers
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Wenguang Zhai (2002)
Acta Arithmetica
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Stephen D. Cohen, Sophie Huczynska (2010)
Acta Arithmetica
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K. Matthews (1976)
Acta Arithmetica
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A. Schinzel (2011)
Acta Arithmetica
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Vegh, Emanuel (1981)
Portugaliae mathematica
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Yonghui Wang, Claus Bauer (2004)
Acta Arithmetica
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J.L. Brenner, C. BRENNER (1962/63)
Numerische Mathematik
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