12 citations · 20 across the 6 of their papers we have counts for
6 papers
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…
A multiple sum involving the Moebius function
Yoichi Motohashi
We consider a multiple arithmetical sum involving the Moebius function which despite its elementary appearance is in fact of a highly intriguing nature. We establish an asymptotic…
A Functional Equation for the Spectral Fourth Moment of Modular Hecke L-Functions
Yoichi Motohashi
Albeit essential corrections are required both in his claim and in his argument, N.V. Kuznetsov observed in his Bombay article (*) of 1989 a highly interesting transformation formu…
Sum formula for Kloosterman sums and fourth moment of the Dedekind zeta-function over the Gaussian number field
Roelof W. Bruggeman, Yoichi Motohashi
We prove the Kloosterman-Spectral sum formula for PSL(2,Z[i])\PSL(2,C), and apply it to derive an explicit spectral expansion for the fourth power moment of the Dedekind zeta funct…