Journal of the Ramanujan Mathematical Society
Volume 33, Issue 4, December 2018 pp. 399–426.
The Chebotarev density theorem and the pair correlation conjecture
Authors:
M. Ram Murty, V. Kumar Murty and Peng-Jie Wong
Author institution:Department of Mathematics and Statistics, Queen's University, Kingston, Ontario K7L 3N6, Canada
Summary:
In this note, we formulate pair correlation conjectures and refine
the effective version of the Chebotarev density theorem
established by the first two authors. Also, we apply our result to
study Artin's primitive root conjecture and the Lang-Trotter
conjectures and obtain shaper error
terms.
Contents
Full-Text PDF