Generalized radix representations and dynamical systems. I

Akiyama, Shigeki; Borbély, Tibor; Brunotte, Horst; Pethö, Attila; Thuswaldner, Jörg Μ.

doi:10.1007/s10474-005-0221-z

Cited by 65 publications

(73 citation statements)

References 22 publications

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“…Thus the data below has to be taken with some care and should be seen as verified lower bounds. We have included the list of references, taken from MR, to which we refer to; see [1] up to [64]. Below we shall give some more details on joint research topics.…”

Section: Some Of the Most Important Joint Research Topics And Resultsmentioning

confidence: 99%

“…In the last section, we will summarize the main points and give some outlook on current and future research. The references are split up in two parts: [1] up to [64] lists the references which belong to our collaboration, from [65] onwards we list other cited references (in both blocks the references are listed in the usual alphabetical ordering).…”

Section: Introductionmentioning

confidence: 99%

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30 years of collaboration

Fuchs

Hajdu

2016

Period Math Hung

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Abstract. We highlight some of the most important cornerstones of the long standing and very fruitful collaboration of the Austrian Diophantine Number Theory research group and the Number Theory and Cryptography School of Debrecen. However, we do not plan to be complete in any sense but give some interesting data and selected results that we find particularly nice. At the end we focus on two topics in more details, namely a problem that origins from a conjecture of Rényi and Erdős (on the number of terms of the square of a polynomial) and another one that origins from a question of Zelinsky (on the unit sum number problem), which will be presented in turn.

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Section: Some Of the Most Important Joint Research Topics And Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

30 years of collaboration

Fuchs

Hajdu

2016

Period Math Hung

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show abstract

“…Recently, Akiyama et al [11] invented a new notion of numeration system, namely, the so-called shift radix systems. All recent developments on the characterisation problem of CNS have been done in this new framework.…”

Section: Annales De L'institut Fouriermentioning

confidence: 99%

“…Recent results using the notion of shift radix system suggest that even characterisation of the cubic case is very involved (cf. [11,12]). We refer to Section 3.4 for details on this approach.…”

Section: On the Finiteness Property Of β-Expansionsmentioning

confidence: 99%