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Fourier optimization and pair correlation problems

math.NT · 2025-02-07 · conditional · novelty 8.0

For any sequence satisfying two axioms, long-term averages of its Montgomery-type form factor lie between explicit constants computed from reproducing kernels; the method refutes Gonek-Ki's conjecture for fixed c under RH.

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  • Fourier optimization and pair correlation problems math.NT · 2025-02-07 · conditional · none · ref 7

    For any sequence satisfying two axioms, long-term averages of its Montgomery-type form factor lie between explicit constants computed from reproducing kernels; the method refutes Gonek-Ki's conjecture for fixed c under RH.