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Keywords:
Dirichlet series; Riemann zeta function; Riemann hypothesis; Perron formula
Dirichlet series; Riemann zeta function; Riemann hypothesis; Perron formula
Summary:
We study the distribution of the sequence of integers $d(n^2)$ under the assumption of the strong Riemann hypothesis. Under this assumption, we provide a refined asymptotic formula for the sum $${\sum _{n\leq x}}d(n^2)$$ with an improved error term by extracting some more main terms.
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