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

Abstract

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.