- pairwise continuous functions and bitopological separation axioms
M. Jelić (1989)
Matematički Vesnik
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M. Jelić (1989)
Matematički Vesnik
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J. Guia (1984)
Matematički Vesnik
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J. Guia (1986)
Matematički Vesnik
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Roland Bacher (2014)
Confluentes Mathematici
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Seeds of sunflowers are often modelled by leading to a roughly uniform repartition with seeds indexed by consecutive integers at angular distance for the golden ratio. We associate to such a map a geodesic path of the modular curve and use it for local descriptions of the image of the phyllotactic map .
Mohammad Daher (2016)
Commentationes Mathematicae Universitatis Carolinae
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Let be a regular interpolation couple. Under several different assumptions on a fixed , we show that for every . We also deal with assumptions on , the closure of in the dual of .
G. Ervynck (1991)
Matematički Vesnik
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Iwona Naraniecka, Jan Szynal, Anna Tatarczak (2013)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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The extremal functions realizing the maxima of some functionals (e.g. , and ) within the so-called universal linearly invariant family (in the sense of Pommerenke [10]) have such a form that looks similar to generating function for Meixner-Pollaczek (MP) polynomials [2], [8]. This fact gives motivation for the definition and study of the generalized Meixner-Pollaczek (GMP) polynomials of a real variable as coefficients of where the parameters , , satisfy the conditions:...
Vincent Lafforgue, Sergey Lysenko (2011)
Bulletin de la Société Mathématique de France
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We prove that the global geometric theta-lifting functor for the dual pair is compatible with the Whittaker functors, where is one of the pairs , or . That is, the composition of the theta-lifting functor from to with the Whittaker functor for is isomorphic to the Whittaker functor for .
Christian Pauly, Emma Previato (2001)
Bulletin de la Société Mathématique de France
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We consider the linear system of second order theta functions over the Jacobian of a non-hyperelliptic curve . A result by J.Fay says that a divisor contains the origin with multiplicity if and only if contains the surface . In this paper we generalize Fay’s result and some previous work by R.C.Gunning. More precisely, we describe the relationship between divisors containing with multiplicity , divisors containing the fourfold , and divisors singular along , using...
Eleftherios Tachtsis (2010)
Bulletin of the Polish Academy of Sciences. Mathematics
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We work in ZF set theory (i.e., Zermelo-Fraenkel set theory minus the Axiom of Choice AC) and show the following: 1. The Axiom of Choice for well-ordered families of non-empty sets () does not imply “the Tychonoff product , where 2 is the discrete space 0,1, is countably compact” in ZF. This answers in the negative the following question from Keremedis, Felouzis, and Tachtsis [Bull. Polish Acad. Sci. Math. 55 (2007)]: Does the Countable Axiom of Choice for families of non-empty sets...
Rogério Augusto dos Santos Fajardo (2010)
Bulletin of the Polish Academy of Sciences. Mathematics
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We construct, under Axiom ♢, a family of indecomposable Banach spaces with few operators such that every operator from into is weakly compact, for all ξ ≠ η. In particular, these spaces are pairwise essentially incomparable. Assuming no additional set-theoretic axiom, we obtain this result with size instead of .
Toufik Zaïmi, Mounia Selatnia, Hanifa Zekraoui (2015)
Archivum Mathematicum
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Let be the set of limit points of the fractional parts , , where is a Pisot number and . Using a description of , due to Dubickas, we show that there is a sequence of elements of such that , . Also, we prove that the fractional parts of Pisot numbers, with a fixed degree greater than 1, are dense in the unit interval.
F. Commaroto, T. Noiri (1986)
Matematički Vesnik
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M. Jelić (1987)
Matematički Vesnik
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Najoua Gamara (2001)
Journal of the European Mathematical Society
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Let be a compact CR manifold of dimension with a contact form , and its associated CR conformal laplacien. The CR Yamabe conjecture states that there is a contact form on conformal to which has a constant Webster curvature. This problem is equivalent to the existence of a function such that , on . D. Jerison and J. M. Lee solved the CR Yamabe problem in the case where and is not locally CR equivalent to the sphere of . In a join work with R. Yacoub, the CR Yamabe...
Hiroshi Mikawa, Temenoujka Peneva (2007)
Bollettino dell'Unione Matematica Italiana
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Let be arbitrary. Suppose that is a sufficiently large positive number. We prove that the number of integers , satisfying some natural congruence conditions, which cannot be written as the sum of three squares of primes is , provided that .
Gavril Farkas, Samuele Grushevsky, Salvati R. Manni, Alessandro Verra (2014)
Journal of the European Mathematical Society
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We study the codimension two locus in consisting of principally polarized abelian varieties whose theta divisor has a singularity that is not an ordinary double point. We compute the class for every . For , this turns out to be the locus of Jacobians with a vanishing theta-null. For , via the Prym map we show that has two components, both unirational, which we describe completely. We then determine the slope of the effective cone of and show that the component of the Andreotti-Mayer...