12 citations · 37 across the 10 of their papers we have counts for
4 papers · 1 filter
Prime numbers -- your gems
Yoichi Motohashi
Prime numbers or primes are man's eternal treasures that have been cherished for several millennia, until today. As their academic ancestors in ancient Mesopotamia, many mathematic…
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…
An Overview of the Sieve Method and its History
Y. Motohashi
This is a revised version of NT0505521, a translation of our Japanese expository article that was published under the title `{\it An overview of sieve methods}' in the second issue…