2-Adic valuations of coefficients of certain integer powers of formal power series

DOI10.1142/S1793042119500386zbMath1451.11111OpenAlexW2902676194WikidataQ128896465 ScholiaQ128896465MaRDI QIDQ5376917

Maciej Ulas

Publication date: 21 May 2019

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

Full work available at URL: https://doi.org/10.1142/s1793042119500386

zbMATH Keywords

generating functionautomatic sequencesformal power series2-adic valuationCauchy convolutionRudin-Shapiro sequenceLafrance-Rampersad-Yee sequence

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Elementary theory of partitions (11P81) Sequences (mod (m)) (11B50)

Cites Work

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• Some properties of a Rudin-Shapiro-like sequence
• Arithmetic properties of coefficients of power series expansion of \(\prod _{n=0}^{\infty }\left( 1-x^{2^{n}}\right) ^{t}\) (with an appendix by Andrzej Schinzel)
• Factors of generalized Rudin-Shapiro sequences
• Arithmetic progression sums of binomial coefficients
• \(p\)-adic valuations and \(k\)-regular sequences
• Note on the Parity of the Partition Functions.
• A Case Study in Mathematical Research: The Golay-Rudin-Shapiro Sequence
• Automatic Sequences

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