TY - JOUR AU - Jean-Marie De Koninck AU - Imre Kátai PY - 2015/01/01 Y2 - 2024/03/29 TI - On a property of non liouville numbers JF - Acta Cybernetica JA - Acta Cybern VL - 22 IS - 2 SE - Regular articles DO - 10.14232/actacyb.22.2.2015.6 UR - https://cyber.bibl.u-szeged.hu/index.php/actcybern/article/view/3884 AB - Let α be a non Liouville number and let f(x) = αxr + ar−1xr−1 + ··· + a1x+a0 ϵ R[x] be a polynomial of positive degree r. We consider the sequence (yn)n≥1 defined by yn = f(h(n)), where h belongs to a certain family of arithmetic functions and show that (yn)n≥1 is uniformly distributed modulo 1. ER -