Paulius Šarka

collaborators

2 papers

math.NT2011

The least common multiple of random sets of positive integers

Javier Cilleruelo, Juanjo Rué, Paulius Šarka +1

We study the typical behavior of the least common multiple of the elements of a random subset $A \subset {1, \dots, n}$ . For example we prove that $\text{lcm}\{a:\ a\in A\}=2^{n(1+…

math.NT2011

On the error term of the logarithm of the lcm of a quadratic sequence

Juanjo Rué, Paulius Šarka, Ana Zumalacárregui

We study the logarithm of the least common multiple of the sequence of integers given by $1^{2} + 1, 2^{2} + 1, ..., n^{2} + 1$ . Using a result of Homma on the distribution of roots of quadrati…