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Results tagged with asymptotics
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user 129831
Asymptotic behavior of functions, asymptotic series and related topics
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Asymptotics of $\vartheta(x+y)-\vartheta(x)$, where $\vartheta$ is the Chebyshev function, w...
I am interested in asymptotics for $$\vartheta(x+y)-\vartheta(x)$$ as $x,y\to\infty$, where we assume that $y$ is smaller than $x$, but larger than some power of $x$, that is, $y\in[x^\alpha, x]$ for some …
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