English

The autocorrelation of the Mobius function and Chowla's conjecture for the rational function field

Number Theory 2012-12-12 v3 Dynamical Systems

Abstract

We prove a function field version of Chowla's conjecture on the autocorrelation of the Mobius function in the limit of a large finite field.

Keywords

Cite

@article{arxiv.1205.1599,
  title  = {The autocorrelation of the Mobius function and Chowla's conjecture for the rational function field},
  author = {Dan Carmon and Zeev Rudnick},
  journal= {arXiv preprint arXiv:1205.1599},
  year   = {2012}
}

Comments

Added background details about discriminants and resultants, and more minor changes