EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 95[109], pp. 173–188 (2014)

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AN UNEXPECTED PROPERTY OF ODD ORDER DERIVATIVES OF HARDY'S FUNCTION

Philippe Blanc

Département des technologies industrielles, Haute Ecole d'Ingénierie et de Gestion, CH-1400 Yverdon-les-Bains, Switzerland

Abstract: 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

Classification (MSC2000): 11M26

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Electronic fulltext finalized on: 31 Mar 2014. This page was last modified: 2 Apr 2014.

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