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Integer moments of the derivatives of the Riemann zeta function

math.NT · 2025-09-09 · conditional · novelty 7.0

New conjectures give the full asymptotic expansion of discrete moments of mixed derivatives of the Riemann zeta function at its zeros, including a previously unknown formula for the second moment of ζ'(ρ).

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  • Integer moments of the derivatives of the Riemann zeta function math.NT · 2025-09-09 · conditional · none · ref 6

    New conjectures give the full asymptotic expansion of discrete moments of mixed derivatives of the Riemann zeta function at its zeros, including a previously unknown formula for the second moment of ζ'(ρ).