English

Basic analytic number theory

Number Theory 2007-05-23 v2

Abstract

We give an informal introduction to the most basic techniques used to evaluate moments on the critical line of the Riemann zeta-function and to find asymptotics for sums of arithmetic functions.

Keywords

Cite

@article{arxiv.math/0408154,
  title  = {Basic analytic number theory},
  author = {David W. Farmer},
  journal= {arXiv preprint arXiv:math/0408154},
  year   = {2007}
}

Comments

11 pages, to appear in the proceedings of the school ``Recent Perspectives in Random Matrix Theory and Number Theory'' held at the Isaac Newton Institute, April 2004. Added appendix on big-O and << notation