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math.NT2024
The second moment of the Riemann zeta function at its local extrema
Christopher Hughes, Solomon Lugmayer, Andrew Pearce-Crump
Conrey and Ghosh studied the second moment of the Riemann zeta function, evaluated at its local extrema along the critical line, finding the leading order behaviour to be $\frac{e^…
math.NT2024
Moments of derivatives of the Riemann zeta function: Characteristic polynomials and the hybrid formula
Christopher Hughes, Andrew Pearce-Crump
We conjecture results about the moments of mixed derivatives of the Riemann zeta function, evaluated at the non-trivial zeros of the Riemann zeta function. We do this in two differ…