On \(p\)-adic valuations of certain \(m\) colored \(p\)-ary partition functions

DOI10.1007/s11139-020-00256-zOpenAlexW3043035659MaRDI QIDQ2038999

Błażej Żmija, Maciej Ulas

Publication date: 7 July 2021

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.03398

zbMATH Keywords

congruencespower series\(p\)-adic valuationpartitions into powers of \(p\)

Mathematics Subject Classification ID

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

Related Items (1)

On \(k\)-regularity of sequences of valuations and last non-zero digits

Cites Work

• 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)
• On \(p\)-adic valuations of colored \(p\)-ary partitions
• Mahler functions and transcendence
• Local symmetries in the period-doubling sequence
• Suites algébriques, automates et substitutions
• Automatic Sequences
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