منابع مشابه
On the Uniqueness Conjecture for Markoff Triples
ν(θ) = inf{c : |θ − p/q| < c/q for infinitely many reduced fractions p/q}. The set of values {νi} of the Markoff function in the range ν(θ) > 1/3 is called the Markoff spectrum [7], which is a denumerable infinite set and νi ↓ 1/3. An other definition of the Markoff spectrum uses the integer solutions of the Diophantine equation x + y + z = 3xyz. (1) A solution (x, y, z) to this equation with 0...
متن کاملMarkoff–rosenberger Triples in Geometric Progression
We study solutions of the Markoff–Rosenberger equation ax + by + cz = dxyz whose coordinates belong to the ring of integers of a number field and form a geometric progression.
متن کاملMarkoff-Rosenberger triples in arithmetic progression
Article history: Received 22 March 2012 Accepted 12 November 2012 Available online 27 November 2012
متن کاملStrong Diophantine Triples
We prove that there exist infinitely many triples a, b, c of non-zero rationals with the property that a + 1, b + 1, c + 1, ab + 1, ac + 1 and bc + 1 are perfect squares.
متن کاملfragmentability and approximation
in chapter 1, charactrizations of fragmentability, which are obtained by namioka (37), ribarska (45) and kenderov-moors (32), are given. also the connection between fragmentability and its variants and other topics in banach spaces such as analytic space, the radone-nikodym property, differentiability of convex functions, kadec renorming are discussed. in chapter 2, we use game characterization...
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ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2016
ISSN: 1631-073X
DOI: 10.1016/j.crma.2015.12.006