Diophantine properties of powers of some Pisot numbers

Zhuravleva, V. V.

doi:10.1134/s0001434614070141

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Set Of Coefficients Of Pisot Numbers Of Degree 1 And1

Value Of L(α) For Pisot Numbers1

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2014

2021

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Cited by 2 publications

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“…In fact, Proposition 6.2 follows from results of the papers [5] by Dubickas, [16] and [18] by Zhuravleva.…”

Section: Set Of Coefficients Of Pisot Numbers Of Degree 1 Andmentioning

confidence: 84%

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Diophantine approximations with Pisot numbers

Zhuravleva

2014

Preprint

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“…In fact, Proposition 6.2 follows from results of the papers [5] by Dubickas, [16] and [18] by Zhuravleva.…”

Section: Set Of Coefficients Of Pisot Numbers Of Degree 1 Andmentioning

confidence: 84%

“…Then L(α) = 1 2 . The following two author's theorems from [18] generalize Theorem 1.2 and 1.3 from Dubickas' paper [5]. Theorem C. Let α be a Pisot number and let P (X) be its minimal polynomial.…”

Section: Value Of L(α) For Pisot Numbersmentioning

confidence: 94%

Diophantine approximations with Pisot numbers

Zhuravleva

2014

Preprint

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Divisibility of integers obtained from truncated periodic sequences

Dubickas

Jonuška

2021

Int. J. Number Theory

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A finite set of prime numbers [Formula: see text] is called unavoidable with respect to [Formula: see text] if for each [Formula: see text] the sequence of integer parts [Formula: see text], [Formula: see text] contains infinitely many elements divisible by at least one prime number [Formula: see text] from the set [Formula: see text]. It is known that an unavoidable set exists with respect to [Formula: see text] and that it does not exist if [Formula: see text] is an integer such that [Formula: see text] is not square free. In this paper, we show that no finite unavoidable sets exist with respect to [Formula: see text] if [Formula: see text] is a prime number or [Formula: see text] belongs to some explicitly given arithmetic progressions, for instance, [Formula: see text] and [Formula: see text], [Formula: see text]

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Diophantine properties of powers of some Pisot numbers

Cited by 2 publications

References 3 publications

Diophantine approximations with Pisot numbers

Diophantine approximations with Pisot numbers

Divisibility of integers obtained from truncated periodic sequences

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