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Results tagged with analytic-number-theory
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user 144434
On the blending of real/complex analysis with number theory. The study involves distribution of prime numbers and other problems and helps giving asymptotic estimates to these.
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votes
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answer
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An asymptotic formula for a sum involving powers of floor functions
Let $\theta \geq 0$ and consider the sum $$\sum_{n \leq x} \left\lfloor \frac{x}{n} \right\rfloor^{-\theta}.$$.
I have seen the claim that there is a constant $c(\theta)$ (depending on $\theta$!) su …
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