Shifted convolution and the Titchmarsh divisor problem over \(\mathbb F_q[t]\). (English) Zbl 1393.11061
Philos. Trans. A, R. Soc. Lond. 373, No. 2040, Article ID 20140308, 18 p. (2015); correction ibid. 374, No. 2060, Article ID 20150360, 1 p. (2016).
Summary: In this paper, we solve a function field analogue of classical problems in analytic number theory, concerning the autocorrelations of divisor functions, in the limit of a large finite field.
MSC:
| 11N37 | Asymptotic results on arithmetic functions |
| 11A25 | Arithmetic functions; related numbers; inversion formulas |
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