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- AGH University of KrakowPL17 papers
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13 papers · 1 filter
Diophantine triples in linear recurrence sequences of Pisot type
Clemens Fuchs, Christoph Hutle, Florian Luca
The study of Diophantine triples taking values in linear recurrence sequences is a variant of a problem going back to Diophantus of Alexandria which has been studied quite a lot in…
On dynamics of graph maps with zero topological entropy
Jian Li, Piotr Oprocha, Yini Yang +1
We explore the dynamics of graph maps with zero topological entropy. It is shown that a continuous map on a topological graph has zero topological entropy if and only if it…
Constrained ternary integers
Florian Luca, Pieter Moree, Robert Osburn +2
An integer is said to be ternary if it is composed of three distinct odd primes. In this paper, we asymptotically count the number of ternary integers with the const…
A magnetic version of the Smilansky-Solomyak model
Diana Barseghyan, Pavel Exner
We analyze spectral properties of two mutually related families of magnetic Schrödinger operators, and $H(A)=(i \nabla +A)^2+ω^…
A variation on the theme of Nicomachus
Florian Luca, Geremías Polanco, Wadim Zudilin
We prove some conjectures of K. Stolarsky concerning the first and third moment of the Beatty sequences with the golden section and its square.
Corrigendum to "Syndetically proximal pairs" [J. Math. Anal. Appl. 379 (2011) 656--663]
Jian Li, T. K. Subrahmonian Moothathu, Piotr Oprocha
We give a counterexample to Theorem 9 in [T.K. Subrahmonian Moothathu, Syndetically proximal pairs, J. Math. Anal. Appl. 379 (2011) 656--663]. We also provide sufficient conditions…