On the a-points of the derivatives of the Riemann zeta function

2016/06/12 by Onozuka, Tomokazu · 1 citation
#11M06 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1606.03733

Abstract

We prove three results on the a-points of the derivatives of the Riemann zeta function. The first result is a formula of the Riemann-von Mangoldt type; we estimate the number of the a-points of the derivatives of the Riemann zeta function. The second result is on certain exponential sum involving a-points. The third result is an analogue of the zero density theorem. We count the a-points of the derivatives of the Riemann zeta function in 1/2-(loglog T)²/log T

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