Complex dimensions of self-similar fractal strings and Diophantine approximation.

Lapidus, Michel L.; van Frankenhuysen, Machiel

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Polynomial squares of the form $a X^{m} + b {(1 - X)}^{n} + c$

Umberto Zannier (2004)

Rendiconti del Seminario Matematico della Università di Padova

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Diophantine equations with linear recurrences An overview of some recent progress

Umberto Zannier (2005)

Journal de Théorie des Nombres de Bordeaux

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We shall discuss some known problems concerning the arithmetic of linear recurrent sequences. After recalling briefly some longstanding questions and solutions concerning zeros, we shall focus on recent progress on the so-called “quotient problem” (resp. " $d$ -th root problem"), which in short asks whether the integrality of the values of the quotient (resp. $d$ -th root) of two (resp. one) linear recurrences implies that this quotient (resp. $d$ -th root) is itself a recurrence. We shall also...

Effective diophantine approximation on $𝔾_{m}$

Enrico Bombieri (1993)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Integrated density of states of self-similar Sturm–Liouville operators and holomorphic dynamics in higher dimension

Christophe Sabot (2001)

Annales de l'I.H.P. Probabilités et statistiques

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On the Various Bisection Methods Derived from Vincent’s Theorem

Akritas, Alkiviadis, Strzeboński, Adam, Vigklas, Panagiotis (2008)

Serdica Journal of Computing

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In 2000 A. Alesina and M. Galuzzi presented Vincent’s theorem “from a modern point of view” along with two new bisection methods derived from it, B and C. Their profound understanding of Vincent’s theorem is responsible for simplicity — the characteristic property of these two methods. In this paper we compare the performance of these two new bisection methods — i.e. the time they take, as well as the number of intervals they examine in order to isolate the real roots of polynomials...

Selected Chapters From Algebra, V. Real Numbers and Polynomials

I. R. Shafarevich (2001)

The Teaching of Mathematics

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Large values of Dirichlet polynomials, IV

Martin Huxley, Matti Jutila (1977)

Acta Arithmetica

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Displaying similar documents to “Complex dimensions of self-similar fractal strings and Diophantine approximation.”

Polynomial squares of the form a X m + b ( 1 - X ) n + c

Diophantine equations with linear recurrences An overview of some recent progress

Effective diophantine approximation on 𝔾 m

Integrated density of states of self-similar Sturm–Liouville operators and holomorphic dynamics in higher dimension

On the Various Bisection Methods Derived from Vincent’s Theorem

Selected Chapters From Algebra, V. Real Numbers and Polynomials

Large values of Dirichlet polynomials, IV

Polynomial squares of the form $a X^{m} + b {(1 - X)}^{n} + c$

Effective diophantine approximation on $𝔾_{m}$