On the error term of the logarithm of the lcm of a quadratic sequence
classification
🧮 math.NT
keywords
errorlogarithmquadraticsequencetermasymptoticscalculatecilleruelo
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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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