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arXiv 2011-10-05 0 views

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

Rué, Juanjo · Šarka, Paulius · Zumalacárregui, Ana

Original · EN

We study the logarithm of the least common multiple of the sequence of integers given by 1²+1, 2²+1,..., n²+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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