The distribution of d4(n) in arithmetic progressions
Abstract
We use the Petrow-Young [10] subconvexity bound for Dirichlet L-functions to show that d4(n) has exponent of distribution 4/7 when we allow an average over a mod q, thereby giving an equidistribution result for d4(n) which goes past the 1/2 barrier for the first time.
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