12 citations · 28 across the 9 of their papers we have counts for
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Spectral Theory of the Riemann Zeta-Function: Chapter 6: Appendix
Yoichi Motohashi
The main aim of this article is to develop, in a fully detailed fashion, a {\bf unified} theory of the spectral theory of mean values of individual automorphic L-functions which is…
The Riemann Zeta-Function and Hecke Congruence Subgroups. II
Yoichi Motohashi
This is a rework of our old file, which has been left unpublished since September 1994, on an explicit spectral decomposition of the fourth power moment of the Riemann zeta-functio…
A note on the mean value of the zeta and L-functions. XV
Yoichi Motohashi
The aim of the present article is to render the spectral theory of mean values of automorphic -functions -- in a unified fashion. This is an outcome of the investigation commenc…
Uniform Bound for Hecke L-Functions
Matti Jutila, Yoichi Motohashi
Our principal aim in the present article is to establish a uniform hybrid bound for individual values on the critical line of Hecke -functions associated with cusp forms over th…
Small Gaps between Primes Exist
D. A. Goldston, Y. Motohashi, J. Pintz +1
In the recent preprint [3], Goldston, Pintz, and Yıldırım established, among other things, $$ \liminf_{n\to\infty}{p_{n+1}-p_n\over\log p_n}=0,\leqno(0) $$ with the th pri…
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…