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math.NT2004
The moments of the Riemann zeta-function. Part I: The fourth moment off the critical line
Aleksandar Ivić, Yoichi Motohashi
In this paper, the first part of a larger work, we prove the spectral decomposition of $$ \int_{-\infty}^\infty|ζ(\s+it)|^4g(t){\rm d}t\qquad(\hf < σ< 1 {\rm {fixed}}), $$ where $g…
math.NT2004
A note on the mean value of the zeta and L-functions. XIV
Yoichi Motohashi
The aim of the present note is to develop a study on the feasibility of a unified theory of mean values of automorphic L-functions, a desideratum in the field. This is an outcome o…