Broken Bracelets, Molien Series, Paraffin Wax, and an Elliptic Curve of Conductor 48 | Zendy

Tewodros Amdeberhan | Zendy; Mahir Bilen Can | Zendy; Victor H. Moll | Zendy

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Broken Bracelets, Molien Series, Paraffin Wax, and an Elliptic Curve of Conductor 48

Author(s) -

Tewodros Amdeberhan,

Mahir Bilen Can,

Victor H. Moll

Publication year - 2011

Publication title -

siam journal on discrete mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.843

H-Index - 66

eISSN - 1095-7146

pISSN - 0895-4801

DOI - 10.1137/110819925

Subject(s) - mathematics , paraffin wax , series (stratigraphy) , connection (principal bundle) , enumeration , elliptic curve , supersymmetry , wax , pure mathematics , combinatorics , chemistry , mathematical physics , geometry , organic chemistry , paleontology , biology

This paper introduces the concept of necklace binomial coefficients motivated by the enumeration of a special type of sequences. Several properties of these coefficients are described, including a connection between their roots and an elliptic curve. Further links are given to a physical model from quantum mechanical supersymmetry as well as properties of alkane molecules in chemistry.

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