The distribution of $d_4(n)$ in arithmetic progressions

Published 6 Apr 2024 in math.NT | (2404.04749v1)

Abstract: We use the Petrow-Young [10] subconvexity bound for Dirichlet $L$-functions to show that $d_4(n)$ has exponent of distribution $4/7$ when we allow an average over $a$ mod $q$, thereby giving an equidistribution result for $d_4(n)$ which goes past the $1/2$ barrier for the first time.

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Authors (1)

Tomos Parry

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