Juanjo Rué, Paulius Šarka, Ana Zumalacárregui
Published 2011-10-05, updated 2011-10-11Version 2
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.
The least common multiple of a quadratic sequence
On the distribution of the order over residue classes
On Cilleruelo's conjecture for the least common multiple of polynomial sequences
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