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math.NT2025
Integer moments of the derivatives of the Riemann zeta function
Christopher Hughes, Andrew Pearce-Crump
We conjecture the full asymptotic expansion of a product of Riemann zeta functions, evaluated at the non-trivial zeros of the zeta function, with shifts added in each argument. By…
math.NT2025
Complex moments of the derivative of the Riemann zeta function
Christopher Hughes, Andrew Pearce-Crump
We conjecture results about the complex moments of the derivative of the Riemann zeta function, evaluated at the non-trivial zeros of the Riemann zeta function. We do this via two…