Generalized equalities hold between k-subset sums congruent to r mod n and periodic binary necklaces with k ones under specific conditions on n, k, r; this proves the Baker et al. conjecture on unimodal cyclic permutations.
Apostol.Introduction to Analytic Number Theory
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Necklaces, subset sums, and cyclic permutations
Generalized equalities hold between k-subset sums congruent to r mod n and periodic binary necklaces with k ones under specific conditions on n, k, r; this proves the Baker et al. conjecture on unimodal cyclic permutations.