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Tag Archives: Kronecker’s lemma
Integral representation of Dirichlet series and Kronecker’s lemma
Let $\alpha(s) = \sum_{n =1}^{\infty} a_n n^{-s}$ be a Dirichlet series and let $A(x) = \sum_{n \leq x} a_n$. In this article we will establish a relationship between $\alpha(s)$ and $A(x)$. Theorem. Let $\alpha(s)$ and $A(x)$ be as above. If … Continue reading
Posted in Analytic Number Theory, Dirichlet series
Tagged Dirichlet series, Kronecker's lemma
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