An Unexpected Property of Odd Order Derivatives of Hardy's Function
Publications de l'Institut Mathématique, _N_S_95 (2014) no. 109, p. 173
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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 $t$.
Classification :
11M26
Keywords: Riemann zeta function, distribution of zeros, Hardy's function
Keywords: Riemann zeta function, distribution of zeros, Hardy's function
Philippe Blanc. An Unexpected Property of Odd Order Derivatives of Hardy's Function. Publications de l'Institut Mathématique, _N_S_95 (2014) no. 109, p. 173 . http://geodesic.mathdoc.fr/item/PIM_2014_N_S_95_109_a12/
@article{PIM_2014_N_S_95_109_a12,
author = {Philippe Blanc},
title = {An {Unexpected} {Property} of {Odd} {Order} {Derivatives} of {Hardy's} {Function}},
journal = {Publications de l'Institut Math\'ematique},
pages = {173 },
year = {2014},
volume = {_N_S_95},
number = {109},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_2014_N_S_95_109_a12/}
}