Article contents
Sign Changes of the Liouville Function on Quadratics
Published online by Cambridge University Press: 20 November 2018
Abstract
Let $\text{ }\!\!\lambda\!\!\text{ }\left( n \right)$ denote the Liouville function. Complementary to the prime number theorem, Chowla
conjectured that
*$$\sum\limits_{n\le x}{\lambda \,\left( f\left( n \right) \right)}=o\left( x \right)$$
for any polynomial $f\left( x \right)$ with integer coefficients which is not of form
$bg{{\left( x \right)}^{2}}$.
Keywords
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 2013
References
- 2
- Cited by