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arXiv · 1403.8031

The divisor function in arithmetic progressions to smooth moduli

A. J. Irving
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Abstract

By using the $q$-analogue of van der Corput's method we study the divisor function in an arithmetic progression to modulus $q$. We show that the expected asymptotic formula holds for a larger range of $q$ than was previously known, provided that $q$ has a certain factorisation.

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A. J. Irving. 2014-04-07. The divisor function in arithmetic progressions to smooth moduli. https://arxiv.org/abs/1403.8031

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