TY - JOUR
T1 - On the distribution of imaginary parts of zeros of the Riemann zeta function, II
AU - Ford, Kevin
AU - Soundararajan, K.
AU - Zaharescu, Alexandru
N1 - Funding Information:
The first author is supported by National Science Foundation Grant DMS-0555367. The second author is partially supported by the National Science Foundation and the American Institute of Mathematics (AIM). The third author is supported by National Science Foundation Grant DMS-0456615.
PY - 2009/3
Y1 - 2009/3
N2 - We continue our investigation of the distribution of the fractional parts of αγ, where α is a fixed non-zero real number and γ runs over the imaginary parts of the non-trivial zeros of the Riemann zeta function. We establish some connections to Montgomery's pair correlation function and the distribution of primes in short intervals. We also discuss analogous results for a more general L-function.
AB - We continue our investigation of the distribution of the fractional parts of αγ, where α is a fixed non-zero real number and γ runs over the imaginary parts of the non-trivial zeros of the Riemann zeta function. We establish some connections to Montgomery's pair correlation function and the distribution of primes in short intervals. We also discuss analogous results for a more general L-function.
UR - http://www.scopus.com/inward/record.url?scp=59549087031&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=59549087031&partnerID=8YFLogxK
U2 - 10.1007/s00208-008-0280-x
DO - 10.1007/s00208-008-0280-x
M3 - Article
AN - SCOPUS:59549087031
SN - 0025-5831
VL - 343
SP - 487
EP - 505
JO - Mathematische Annalen
JF - Mathematische Annalen
IS - 3
ER -