On the sum of $\varDelta_k(n)$ in the Piltz divisor problem for $k=3$ and $k=4$
- 1 January 2024
- journal article
- research article
- Published by Institute of Mathematics, Polish Academy of Sciences in Acta Arithmetica
- Vol. 216 (4) , 291-327
Abstract
Let $\Delta _k(x)$ be the error term in the classical asymptotic formula for the sum $\sum_{n \leq x}d_k(n)$, where $d_k(n)$ is the number of ways $n$ can be written as a product of $k$ factors. We study the analytic properties of the Dirichlet series $\s
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