On the size of a restricted sumset with application to the binary expansion of √d

DOI10.2298/AADM180720014DOpenAlexW2954371499MaRDI QIDQ5091833

Arturas Dubickas

Publication date: 27 July 2022

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/aadm180720014d

zbMATH Keywords

sumsetquadratic irrationalitySidon sequencebinary expansion

Mathematics Subject Classification ID

Additive bases, including sumsets (11B13) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Special sequences (11K31)

Cites Work

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• On the number of nonzero digits in the beta-expansions of algebraic numbers
• Non-zero digits in the expansion of irrational algebraic numbers in an integer base
• On the binary expansions of algebraic numbers
• An experimental investigation of the normality of irrational algebraic numbers
• ON THE BINARY DIGITS OF ALGEBRAIC NUMBERS
• ON THE BITS COUNTING FUNCTION OF REAL NUMBERS
• Exponential Sums and Lattice Points III
• An almost polynomial Sidon sequence
• An Empirical Approach to the Normality of π
• On the beta-expansions of 1 and algebraic numbers for a Salem number beta
• On the binary digits of $\sqrt{2}$