Structured cosine sums on cyclic groups are classified through vanishing sums of roots of unity, yielding a small-weight Fourier rigidity theorem and eigenvalue multiplicity bounds for cyclic Cayley graphs.
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On structured cosine sums and applications
Structured cosine sums on cyclic groups are classified through vanishing sums of roots of unity, yielding a small-weight Fourier rigidity theorem and eigenvalue multiplicity bounds for cyclic Cayley graphs.