25 citations · 73 across the 22 of their papers we have counts for
22 papers
On Cornacchia's Algorithm
Yoichi Motohashi
We give an endorsement for Cornacchia's famous algorithm. Thus we do not claim anything new but an approach which is supposed to be simpler than those of previous works written wit…
The twin prime conjecture
Yoichi Motohashi
This is an exposition of recent developments in the theory of bounded differences between primes. Readers are expected to be beginners of analytic number theory. The present text i…
An extension of the Linnik phenomenon. II
Yoichi Motohashi
The (Deuring-Heilbronn-) Linnik phenomenon is extended to L-functions associated with real analytic automorphic forms. The repelling effect of exceptional zeros of Dirichlet L-func…
On sums of Hecke-Maass eigenvalues squared over primes in short intervals
Yoichi Motohashi
We prove a uniform estimate for sums of Hecke--Maass eigenvalues squared over primes in short intervals that can be regarded as an analogue of Hoheisel's classical prime number the…
An Extension of the Linnik Phenomenon
Yoichi Motohashi
The Linnik phenomenon concerning the repelling effect of Siegel's zeros is extended to L-functions in a family wider than hitherto considered.
Spectral Analysis of the Zeta and L-Functions
Yoichi Motohashi
This is my talk delivered at the workshop 'Automorphic L-Functions and related prpblems' (March 10--13, 2012, Tokyo University). We showed an instance of applications of the theory…