Analysis shows divergence in Fourier series at some points for periodic functions, indicating complex graph behavior.
We show that for any 1 ≤ s ≤ 2, there is a periodic continuous function f whose Fourier series is divergent at some point, and whose graph satisfies dimH(graph \ f)=dimB(graph \ f)=s.
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Che et al. (2025) studied this question.
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