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Asymptotic behavior of functions, asymptotic series and related topics

11 votes
2 answers
761 views

Tauberian theorem with better error term

This is a fairly vague question. Suppose we have a sequence of positive numbers $(c_n)_n$ and we want to find an asymptotic formula for $S(x) = \sum_{n \leq X} c_n$. In favorable circumstances, stan …
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