Arithmetic implications of the distribution of integral zeros of exponential polynomials
Alfred J. Van der Poorten (1974/1975)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
Stojan Radenović, Mirjana Pavlović (2003)
Kragujevac Journal of Mathematics
Włodzimierz Zwonek (2010)
Annales Polonici Mathematici
We extend and simplify results of [Din 2010] where the asymptotic behavior of the holomorphic sectional curvature of the Bergman metric in annuli is studied. Similarly to [Din 2010] the description enables us to construct an infinitely connected planar domain (in our paper it is a Zalcman type domain) for which the supremum of the holomorphic sectional curvature is two, whereas its infimum is equal to -∞ .
Igor E. Pritsker (2015)
Acta Arithmetica
Schur introduced the problem on the smallest limit point for the arithmetic means of totally positive conjugate algebraic integers. This area was developed further by Siegel, Smyth and others. We consider several generalizations of the problem that include questions on the smallest limit points of symmetric means. The key tool used in the study is the asymptotic distribution of algebraic numbers understood via the weak* limits of their counting measures. We establish interesting properties of the...
С.Л. Крушкаль (1983)
Sibirskij matematiceskij zurnal
Prokhorov, D.V., Nikulin, A.A. (2006)
Sibirskij Matematicheskij Zhurnal
Daoud Bshouty, Walter Hengartner (1978)
Commentarii mathematici Helvetici
Barth, Karl F., Brannan, David A. (1996)
International Journal of Mathematics and Mathematical Sciences
Guowu Yao (2016)
Studia Mathematica
Let T(Δ) be the universal Teichmüller space on the unit disk Δ and T₀(Δ) be the set of asymptotically conformal classes in T(Δ). Suppose that μ is a Beltrami differential on Δ with [μ] ∈ T₀(Δ). It is an interesting question whether [tμ] belongs to T₀(Δ) for general t ≠ 0, 1. In this paper, it is shown that there exists a Beltrami differential μ ∈ [0] such that [tμ] is a non-trivial non-Strebel point for any .
Amos J. Carpenter (1992)
Numerische Mathematik
Alexander Ostrowski (1933)
Commentarii mathematici Helvetici
Shinji Yamashita (1975)
Manuscripta mathematica
Wladimir G. Boskoff, Bogdan D. Suceavă (2008)
Czechoslovak Mathematical Journal
In the present paper we answer two questions raised by Barbilian in 1960. First, we study how far can the hypothesis of Barbilian's metrization procedure can be relaxed. Then, we prove that Barbilian's metrization procedure in the plane generates either Riemannian metrics or Lagrance generalized metrics not reducible to Finslerian or Langrangian metrics.
Noor, K.Inayat (1982)
International Journal of Mathematics and Mathematical Sciences
Mayer, Volker (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
A. Clop, D. Faraco, J. Mateu, J. Orobitg, X. Zhong (2009)
Publicacions Matemàtiques
St. Warschawski (1934)
Mathematische Zeitschrift
N. Tschebotarow (1929)
Jahresbericht der Deutschen Mathematiker-Vereinigung
A. Ostrowski (1934)
Mathematische Zeitschrift
Piotr Jucha (2004)
Studia Mathematica
We give an equivalent condition for Bergman completeness of Zalcman type domains. This also solves a problem stated by Pflug.