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

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

2011-10-05

arxiv.org/abs/1110.0939v2

Mathematics

Number Theory

Scientific paper

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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