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On Ingham’s additive divisor problem. (Russian, English) Zbl 1150.11037

Vestn. Mosk. Univ., Ser. I 2006, No. 5, 32-35 (2006); translation in Mosc. Univ. Math. Bull. 61, No. 5, 33-36 (2006).
The authors obtain a new remainder term of the order of \(x^{3/4}\ln^4x\) in the asymptotic sum formula for the \(\sum\limits_{n\leq x} \tau(n^2+n)\) where \(\tau(n)\) denotes the number of divisors of \(n\).

MSC:

11N37 Asymptotic results on arithmetic functions
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