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Alternative geometric interpretation for big-o and little-o

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#calculus #real-analysis #asymptotics #visualization
199
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Limit of Quotient of two functions changed by constant amount

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#calculus #real-analysis #analysis #asymptotics
2.8k
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What does this use of little-o notation mean?

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#number-theory #asymptotics
668
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Fourier transform of $\Gamma \left (\frac{1}{2}-i \frac{p}{2 \pi} \right) /\sqrt{ \cosh(p/2)}$

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#integration #complex-analysis #fourier-analysis #asymptotics #gamma-function
724
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Proving the asymptotic relationship between two functions

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#asymptotics
133
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Counting the size of the largest sets of independent strings

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#combinatorics #asymptotics
229
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The asymptotic of the number of integers that are sums of three nonnegative cubes

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#number-theory #polynomials #asymptotics #cubics
125
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What can we say about the distribution of the prime-power factors of a big factor-rich number?

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#number-theory #asymptotics #prime-factorization
282
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Growth Rate $n\ln n$

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#logarithms #asymptotics
694
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Average order of $\mathrm{rad}(n)$

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#number-theory #asymptotics #analytic-number-theory #dirichlet-series #multiplicative-function
219
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How to prove or disprove $n^{28} = O(2^n)$

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#asymptotics #computational-complexity
91
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Evaluating a function in a closed form

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#real-analysis #integration #asymptotics
352
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Is this a correct proof that $\tau(n)$ is eventually smaller than any $n^{\delta}$, $\delta>0$?

Published on
#number-theory #proof-verification #asymptotics #special-functions
320
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Asymptotic form of Whittaker function

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#asymptotics
217
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Prove or disprove the following asymptotic relations

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#proof-verification #proof-writing #asymptotics

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