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Show that $\sum_{n=1}^N \ \sum_{x^2+y^2 = n,} 1 = \pi N +\mathcal{O}\bigl( \sqrt{N}\bigr)$

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#number-theory #asymptotics #analytic-number-theory
38
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Proving that log(n+1) is O(log(n). If true, find C and K

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#discrete-mathematics #asymptotics
32
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Confusion on functions fitting the formal definition of big-O

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#recurrence-relations #asymptotics
48
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Asymptotes of function

Published on
#asymptotics
59
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Find the asymptote of $y=\frac{x^2+x+7}{\sqrt{2x+1}}$

Published on
#limits #asymptotics
334
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For what values $k$ are $O(n + k)$ and $O(n + k \log k)$ linear?

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#asymptotics #computational-complexity
17
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Constants in Big O of two parameters with logarithm

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#logarithms #asymptotics
152
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Asymptotics of the quantum dilogarithm

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#complex-analysis #asymptotics #q-series
111
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Convergence almost surely and Borel-Cantelli's Lemma (proof clarification)

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#probability-theory #convergence-divergence #asymptotics #borel-cantelli-lemmas
35
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Asymptotic bounds

Published on
#asymptotics
41
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Question related to deriving a result based on Stirling s formula

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#real-analysis #complex-analysis #asymptotics #approximation
561
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$\sim$ symbol in asymptotic analysis

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#reference-request #notation #asymptotics
197
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Asymptotic Behaviour of $\Gamma^{(k)}(1)$

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#real-analysis #complex-analysis #definite-integrals #asymptotics #gamma-function
973
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How can I determine big O of the inverse of a function?

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#real-analysis #asymptotics #computer-science
15
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Inequality combined with asymptotics and O-notation

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#inequality #asymptotics #taylor-expansion

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