Fluctuation of the primitive of Hardy's function

Matti Jutila

doi:10.46298/hrj.2019.5103

Matti Jutila - Fluctuation of the primitive of Hardy's function

hrj:5103 - Hardy-Ramanujan Journal, January 23, 2019 - https://doi.org/10.46298/hrj.2019.5103

Fluctuation of the primitive of Hardy's functionArticle

Authors: Matti Jutila ^1,²

1 Department of Mathematics and Statistics, University of Turku
2 University of Turku

We consider oscillatory properties of the primitive of Hardy's function including a certain Gibbs phenomenon due to M. A. Korolev.

https://doi.org/10.46298/hrj.2019.5103

Source: HAL:hal-01984688v1

Published on: January 23, 2019

Imported on: January 23, 2019

Keywords: [MATH]Mathematics [math], [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT], [en] Riemann's zeta-function, Hardy's function, the Gibbs phenomenon 2010 Mathematics Subject Classification 11M06

Matti Jutila - Fluctuation of the primitive of Hardy's function

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