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arXiv · 1110.0939

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

Juanjo Rué·Paulius Šarka·Ana Zumalacárregui
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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.

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Juanjo Rué, Paulius Šarka, Ana Zumalacárregui. 2011-10-11. On the error term of the logarithm of the lcm of a quadratic sequence. https://arxiv.org/abs/1110.0939

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