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Combinatorial identities for binary necklaces from exact ray-splitting trace formulae

Mathematical Physics 2015-06-26 v1 Combinatorics math.MP

Abstract

Based on an exact trace formula for a one-dimensional ray-splitting system, we derive novel combinatorial identities for cyclic binary sequences (P\'olya necklaces).

Cite

@article{arxiv.math-ph/0107026,
  title  = {Combinatorial identities for binary necklaces from exact ray-splitting trace formulae},
  author = {R. Blümel and Yu. Dabaghian},
  journal= {arXiv preprint arXiv:math-ph/0107026},
  year   = {2015}
}

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15 pages