Fluctuation of the primitive of Hardy's function

Matti Jutila (1)

1 Department of Mathematics and Statistics, University of Turku

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

Mots clés: Riemann's zeta-function; Hardy's function; the Gibbs phenomenon 2010 Mathematics Subject Classification 11M06

Domaines: Mathématiques [math]; Théorie des nombres [math.NT]

Matti Jutila. Fluctuation of the primitive of Hardy's function. Hardy-Ramanujan Journal, 2019, Atelier Digit_Hum, pp.32 - 39. ⟨10.46298/hrj.2019.5103⟩. ⟨hal-01984688⟩