The floor quotient partial order

DOI10.1016/j.aam.2023.102615arXiv2212.11689MaRDI QIDQ6144419

Jeffrey C. Lagarias, David Harry Richman

Publication date: 29 January 2024

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.11689

zbMATH Keywords

Möbius functionpartial orderincidence algebrafloor function

Mathematics Subject Classification ID

Partial orders, general (06A06) Combinatorics of partially ordered sets (06A07) Interval and finite arithmetic (65G30) Asymptotic enumeration (05A16) Matrices of integers (15B36) Systems of functional equations and inequalities (39B72) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05) Generalized primes and integers (11N80) Rounding, estimation, theory of errors (educational aspects) (97N20)

Cites Work

• On the maximal order of numbers in the ``factorisatio numerorum problem
• Symmetric matrices related to the Mertens function
• Incidence functions as generalized arithmetic functions. I
• Dilated Floor Functions That Commute
• Cardinality of a floor function set
• Structure of incidence algebras and their automorphism groups
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
• THE EULERIAN FUNCTIONS OF A GROUP
• A Variant of Möbius Inversion
• Numerical semigroups and applications
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