| Title |
On some inequalities of probabilistic number theory |
| Translation of Title |
Tikimybinės skaičių teorijos nelygybės. |
| Authors |
Stakėnas, Vilius |
| Full Text |
|
| Is Part of |
Lietuvos matematikos rinkinys.. Vilnius : Matematikos ir informatikos institutas. 2006, t. 46, Nr. 2, p. 256-266.. ISSN 0132-2818 |
| Keywords [eng] |
function, additive ; numbers, rational ; random variable, independent |
| Abstract [eng] |
Let Q_+ denote the set of positive rational numbers. We define discrete probability measures ν_x on the σ-algebra of subsets of Q_+. We introduce additive functions f: Q_+ -> G and obtain a bound for [...] using a probability related to some independent random variables. This inequality is an analogue to that proved by I. Ruzsa for additive arithmetical functions. |
| Published |
Vilnius : Matematikos ir informatikos institutas |
| Type |
Journal article |
| Language |
English |
| Publication date |
2006 |
