Searching for authors named Maurice Mignotte – sorted by Relevance.
2 documents found, showing 1 through 2.
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Embedding the 3x+1 Conjecture in a 3x+d Context
- …This paper attempts to contribute to our understanding of all the aspects of the 3x + 1 dynamics by extending it to a more general 3x + d case. This extension was originally studied in [Lagarias 1990], in a somewhat different context, for d 1; the case d = \Gamma1 was briefly mentioned in [Bohm and…
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Complete solutions of a family of quartic Thue and index form equations
- …Abstract. Continuing the recent work of the second author, we prove that the diophantine equation fa(x, y)=x 4 −ax 3 y − x 2 y 2 + axy 3 + y 4 =1 for |a | ≥3 has exactly 12 solutions except when |a | = 4, when it has 16 solutions. If α = α(a) denotes one of the zeros of fa(x,1), then for |a | ≥4we …
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