The divisor function in arithmetic progressions to smooth moduli

@inproceedings{Irving2014TheDF,
  title={The divisor function in arithmetic progressions to smooth moduli},
  author={Anthony John Irving},
  year={2014}
}
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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