A study of the mean value of the error term in the mean square formula of the Riemann zeta-function in the critical strip
Yuk-Kam Lau (2006)
Journal de Théorie des Nombres de Bordeaux
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Let be the error term in the mean square formula of the Riemann zeta-function in the critical strip . It is an analogue of the classical error term . The research of has a long history but the investigation of is quite new. In particular there is only a few information known about for . As an exploration, we study its mean value . In this paper, we give it an Atkinson-type series expansion and explore many of its properties as a function of .