Publications de l'Institut Mathematique 2014 Volume 95, Issue 109, Pages: 173-188
https://doi.org/10.2298/PIM1409173B
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An unexpected property of odd order derivatives of Hardy’s function
Blanc Philippe (Département des technologies industrielles, Haute École d’Ingénierie et de Gestion, Yverdon-les-Bains, Switzerland)
Assuming the Riemann hypothesis, we show that the odd order derivatives of
Hardy’s function have, under some condition, an unexpected behavior for
large values of t.
Keywords: Riemann zeta function, distribution of zeros, Hardy’s function