Congruences for Fishburn numbers modulo prime powers

DOI10.1142/S1793042115400175zbMath1390.11121arXiv1407.7521WikidataQ114072040 ScholiaQ114072040MaRDI QIDQ2942533

Armin Straub

Publication date: 11 September 2015

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

Full work available at URL: https://arxiv.org/abs/1407.7521

zbMATH Keywords

partition congruencesFishburn numbers\(p\)-adic properties of sequencesKontsevich's strange function

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Fourier coefficients of automorphic forms (11F30)

Related Items (7)

Asymptotics and sign patterns for coefficients in expansions of Habiro elements ⋮ Generalized Fishburn numbers and torus knots ⋮ Unnamed Item ⋮ Dissections of strange \(q\)-series ⋮ Congruences for generalized Fishburn numbers at roots of unity ⋮ The colored Jones polynomial and Kontsevich–Zagier series for double twist knots ⋮ Congruences and relations for \(r\)-Fishburn numbers

Cites Work

• Asymptotics for the number of row-Fishburn matrices
• (2+2)-free posets, ascent sequences and pattern avoiding permutations
• Fishburn diagrams, Fishburn numbers and their refined generating functions
• On \(q\)-series identities related to interval orders
• Intransitive indifference with unequal indifference intervals
• Dissections of a "strange" function
• ENUMERATION OF CHORD DIAGRAMS AND AN UPPER BOUND FOR VASSILIEV INVARIANTS
• Vassiliev invariants and a strange identity related to the Dedekind eta-function

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