Combinatorial identities for binary necklaces from exact ray-splitting trace formulae
classification
🧮 math-ph
math.COmath.MP
keywords
binarycombinatorialexactidentitiesnecklacesray-splittingtracecyclic
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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).
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