Broken bracelets, Molien series, paraffin wax and an elliptic curve of conductor 48

Details Broken bracelets, Molien series, paraffin wax and an elliptic curve of conductor 48 Broken bracelets, Molien series, paraffin wax and an elliptic curve of conductor 48

2011-06-23

arxiv.org/abs/1106.4693v1

Mathematics

Combinatorics

21 Pages

Scientific paper

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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