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Embedding subsets of tori Properly into 2

Erlend Fornæss Wold (2007)

Annales de l’institut Fourier

Let 𝕋 be a complex one-dimensional torus. We prove that all subsets of 𝕋 with finitely many boundary components (none of them being points) embed properly into 2 . We also show that the algebras of analytic functions on certain countably connected subsets of closed Riemann surfaces are doubly generated.

Empilements de cercles et modules combinatoires

Peter HaÏssinsky (2009)

Annales de l’institut Fourier

Le but de cette note est de tenter d’expliquer les liens étroits qui unissent la théorie des empilements de cercles et des modules combinatoires et de comparer les approches à la conjecture de J.W. Cannon qui en découlent.

Entire function sharing two polynomials with its k th derivative

Sujoy Majumder, Nabadwip Sarkar (2024)

Mathematica Bohemica

We investigate the uniqueness problem of entire functions that share two polynomials with their k th derivatives and obtain some results which improve and generalize the recent result due to Lü and Yi (2011). Also, we exhibit some examples to show that the conditions of our results are the best possible.

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