Perfect powers with all equal digits but one.

Kihel, Omar; Luca, Florian

Displaying similar documents to “Perfect powers with all equal digits but one.”

Fifteen problems in number theory.

Pethö, Attila (2010)

Acta Universitatis Sapientiae. Mathematica

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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...

Perfect powers in linear recurring sequences

Clemens Fuchs, Robert F. Tichy (2003)

Acta Arithmetica

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Pell’s Equation

Marcin Acewicz, Karol Pąk (2017)

Formalized Mathematics

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In this article we formalize several basic theorems that correspond to Pell’s equation. We focus on two aspects: that the Pell’s equation x2 − Dy2 = 1 has infinitely many solutions in positive integers for a given D not being a perfect square, and that based on the least fundamental solution of the equation when we can simply calculate algebraically each remaining solution. “Solutions to Pell’s Equation” are listed as item #39 from the “Formalizing 100 Theorems” list maintained by Freek...