Simultaneous orderings and combinatorial interpretations of generalized factorials and binomial coefficients
DOI10.1016/J.AAM.2024.102810MaRDI QIDQ6665414
Publication date: 17 January 2025
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
dynamical systemgeneralized gamma functionDedekind domainradix representationinteger-valued polynomial\(p\)-orderingsimultaneous orderinggeneralized factorialgeneralized binomial coefficientassociated \(p\)-sequence
Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Combinatorial aspects of partitions of integers (05A17) Combinatorial inequalities (05A20) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Other combinatorial number theory (11B75) Polynomials over commutative rings (13B25) Radix representation; digital problems (11A63) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Zeta and (L)-functions: analytic theory (11M99) Dynamical systems over global ground fields (37P15)
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- Continuous functions on compact subsets of local fields
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