On the number of necklaces whose co-periods divide a given integer

DOI10.1007/s11139-023-00723-3zbMath1518.05005OpenAlexW4367675675MaRDI QIDQ6164966

Petros Hadjicostas

Publication date: 28 July 2023

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

Full work available at URL: https://doi.org/10.1007/s11139-023-00723-3

zbMATH Keywords

Lambert seriesRamanujan sumco-periodfixed necklaceWitt's identity

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Convergence and divergence of infinite products (40A20)

Cites Work

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• The formal series Witt transform
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• The origins of combinatorics on words
• Ordered partitions and codes generated by circulant matrices
• Enumeration of incongruent cyclic k-gons
• A symmetric relationship for a class of partitions
• Hermite reciprocity for the regular representations of cyclic groups
• Witt's formula for restricted Lie algebras.
• Combinatorics of necklaces and ``Hermite reciprocity
• An analogue to the Witt identity
• Some Formulas Involving Ramanujan Sums
• On a Statistics of the Ramanujan Sums

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