arXiv subjects

Paulius Šarka

Publications and source records attributed to Paulius Šarka.

2 recordsLinked to original sources

arXiv2013

The least common multiple of random sets of positive integers

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 $\text{lcm}\{a:\ a\in A\}=2^{n(1+o(1))}$ for almost all subsets $A\subset\{1,\dots,n\}$.

math.NT↗

arXiv2011

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

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 quadratic polynomials modulo primes we calculate the error term for the asymptotics obtained by Cilleruelo.

math.NT↗