3 problems

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Incompleteness of the classification on the specified support in $\mathbb{Z}_{30}$
Classification conjecture. This construction is not a complete classification of all such pairs of functions on this support.
Conjectureopenautocorrelations finite-abelian-groups fourier-analysisarXiv posted 2 days ago
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The function-field higher autocorrelation conjecture for sums of two squares
Function-field autocorrelation conjecture. Uniformly as $q^n\to\infty$ ,
Conjectureopenautocorrelations function-fields sums-of-two-squaresarXiv posted 2 days ago
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Freiberg–Kurlberg–Rosenzweig's higher autocorrelation conjecture for sums of two squares
Freiberg–Kurlberg–Rosenzweig's conjecture. The higher autocorrelation satisfies
Conjectureopenanalytic-number-theory autocorrelations sums-of-two-squaresarXiv posted 2 days ago

Incompleteness of the classification on the specified support in Z30\mathbb{Z}_{30}Z30​