A note on Hardy's theorem

Usha K. Sangale (1)

1 SRTM - Swami Ramanand Teerth Marathwada University, Nanded

Hardy's theorem for the Riemann zeta-function ζ(s) says that it admits infinitely many complex zeros on the line (s) = 1 2. In this note, we give a simple proof of this statement which, to the best of our knowledge, is new.

Mots clés: Riemann zeta-function; Hardy's theorem; Hardy's Z-function

Domaines: Mathématiques [math]

Usha K. Sangale. A note on Hardy's theorem. Hardy-Ramanujan Journal, 2017, Volume 39 - 2016, pp.38 - 45. ⟨10.46298/hrj.2017.2634⟩. ⟨hal-01425570⟩