An application of Mellin-Barnes' type integrals to the mean square of Lerch zeta-functions

The mean-value of the Riemann zeta function

F. V. Atkinson · Acta Mathematica · 1949 · 183 citations · Full text

Natural Sciences, Mathematics, Number Theory +3

On the Hurwitz zeta-function

Bruce C. Berndt · Rocky Mountain Journal of Mathematics · 1972 · 124 citations · Full text

Natural Sciences, Mathematics, Stochastic Processes +3

A note on the mean value of the zeta and $L$-functions, I

Yoichi Motohashi · Proceedings of the Japan Academy Series A Mathematical Sciences · 1985 · 78 citations · Full text

Natural Sciences, Mathematics, Number Theory +9

An explicit formula for the fourth power mean of the Riemann zeta-function

Yoichi Motohashi · Acta Mathematica · 1993 · 78 citations · Full text

Natural Sciences, Mathematics, Physics +5

Spectral mean values of Maass waveform L-functions

Yoichi Motohashi · Journal of Number Theory · 1992 · 41 citations

Natural Sciences, Oceanography, Acoustics +11