Strong arithmetic properties of the integral solutions of X³ + DY³ + D²Z³ - 3DXYZ = 1, where D = M³ ± 1, M ∈ ℤ*
Christian Ballot (1999)
Acta Arithmetica
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Christian Ballot (1999)
Acta Arithmetica
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Rüdiger Göbel, Simone Pabst (1998)
Fundamenta Mathematicae
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The paper deals with realizations of R-algebras A as endomorphism algebras End G ≅ A of suitable R-modules G over a commutative ring R. We are mainly interested in the case of R having "many prime ideals", such as R = ℝ[x], the ring of real polynomials, or R a non-discrete valuation domain
Jan Brinkhuis (1995)
Acta Arithmetica
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Grzegorz Graff (2000)
Fundamenta Mathematicae
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The problem of description of the set Per(f) of all minimal periods of a self-map f:X → X is studied. If X is a rational exterior space (e.g. a compact Lie group) then there exists a description of the set of minimal periods analogous to that for a torus map given by Jiang and Llibre. Our approach is based on the Haibao formula for the Lefschetz number of a self-map of a rational exterior space.
Harald Niederreiter, Chaoping Xing (1997)
Acta Arithmetica
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W. W. L. Chen, V. F. Lev (1998)
Acta Arithmetica
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Jozef Bobok, Ondřej Zindulka (1999)
Fundamenta Mathematicae
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Let X be an uncountable compact metrizable space of topological dimension zero. Given any a ∈[0,∞] there is a homeomorphism on X whose topological entropy is a.
M. Stanley (1995)
Fundamenta Mathematicae
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