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What is the asymptotic behavior of the function counting the number of (not necessarily distinct) prime divisors?

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#number-theory #prime-numbers #asymptotics
301
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How to get the asymptotic form of this oscilatting integral?

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#integration #definite-integrals #asymptotics #singularity-theory #oscillatory-integral
76
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Hamming weight in multiple label

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#probability #asymptotics #binomial-coefficients #normal-distribution #binomial-distribution
87
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Comparing asymptotic forms of series

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#asymptotics
1.6k
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Divide and Conquer in big O notation

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#algorithms #asymptotics
799
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How to use Laplace method to get the asymptotic expansion of multiple integral

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#probability #integration #asymptotics #statistical-inference
518
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Show that $f(x) = O(1/x)$

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#calculus #integration #proof-verification #asymptotics
45
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Why does this inequality stand?

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#discrete-mathematics #inequality #asymptotics
78
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Big-Oh of $(\log_bn)^c$ is $O(n^d)$

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#asymptotics
74
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What is the limit of the below functions when n tends to inifinity?

Published on
#limits #asymptotics #infinity
175
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Asymptotics of $\frac{\sum _{i=0}^{\lfloor n/2 \rfloor} {2(n-2i) \choose n-2i} {n \choose 2i} {4i \choose 2i}}{2^{3n - 1}}$, is it $\frac{2}{\pi n}$?

Published on
#combinatorics #asymptotics
71
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converting asymptotic little-oh into big-oh

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#real-analysis #limits #asymptotics
76
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Bounding $\sum_{k=1}^N \frac{1}{1-\frac{1}{2^k}}$

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#summation #asymptotics #estimation
385
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Steepest descent method with movable maximum

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#complex-analysis #asymptotics #contour-integration
298
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Show that if $\int_0^x f(y)dy \sim Ax^\alpha$ then $f(x)\sim \alpha Ax^{\alpha -1}$

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#real-analysis #analysis #asymptotics

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