Geodesic
Sign Changes of the Liouville Function on Quadratics
Canadian mathematical bulletin, Tome 56 (2013) no. 2, pp. 251-257

Voir la notice de l'article provenant de la source Cambridge University Press

Let $\text{ }\!\!\lambda\!\!\text{ }\left( n \right)$ denote the Liouville function. Complementary to the prime number theorem, Chowlaconjectured 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 $bg{{\left( x \right)}^{2}}$ .
DOI : 10.4153/CMB-2011-166-9
Mots-clés : 11N60, 11B83, 11D09, Liouville function, Chowla's conjecture, prime number theorem, binary sequences, changes sign infinitely often, quadratic polynomials, Pell equations 
Borwein, Peter; Choi, Stephen K. K.; Ganguli, Himadri. Sign Changes of the Liouville Function on Quadratics. Canadian mathematical bulletin, Tome 56 (2013) no. 2, pp. 251-257. doi: 10.4153/CMB-2011-166-9
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