Intervals without primes near elements of linear recurrence sequences

DOI10.1142/S1793042118500355zbMath1420.11029OpenAlexW2749659584MaRDI QIDQ3133132

Arturas Dubickas

Publication date: 13 February 2018

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042118500355

zbMATH Keywords

Pisot numbersSalem numberslinear recurrence sequenceinteger partcomposite integer

Mathematics Subject Classification ID

Recurrences (11B37) Special sequences and polynomials (11B83) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Sequences (mod (m)) (11B50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Kronecker's approximation theorem
• Prime-representing functions
• Prime and composite integers close to powers of a number
• Integer parts of powers of Pisot and Salem numbers
• Prime and composite numbers as integer parts of powers
• On integer and fractional parts of powers of Salem numbers
• Integer parts of powers of rational numbers
• Large Gaps Between Consecutive Prime Numbers Containing Perfect Powers
• Large gaps between consecutive prime numbers containing square-free numbers and perfect powers of prime numbers
• Irreducible polynomials with many roots of equal modulus
• ARITHMETICAL PROPERTIES OF POWERS OF ALGEBRAIC NUMBERS
• Arithmetic properties of the integer part of the powers of an algebraic number
• Integer Parts of Powers of Quadratic Units
• On Truncatable Primes
• Irreducible polynomials with many roots of maximal modulus
• An effective lower bound for the height of algebraic numbers
• An arithmetic property of certain rational powers
• Composite values of exponential and related sequences
• A prime-representing function

This page was built for publication: Intervals without primes near elements of linear recurrence sequences