A new bound for the error term in the approximate functional equation for the derivatives of the Hardy's Z-function

2018/09/03 by Blanc, Philippe
#11M06 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1809.00735

Abstract

Lavrik and the author gave uniform bounds of the error term in the approximate functional equation for the derivatives of the Hardy's Z-function. We obtain a new bound of this error term which is much better for high order derivatives.

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