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About the $O$ notation with a subscript

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#notation #asymptotics
129
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Asymptotic simplification

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#analysis #asymptotics #approximation
87
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How to find $\int\log(\cos(a/x))dx$ in closed form or asymptotic estimation?

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#integration #definite-integrals #asymptotics #improper-integrals #estimation
335
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Limiting distribution of an estimator in the exponential case

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#statistics #asymptotics #central-limit-theorem
146
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Sum of $\cos\left(\frac{\pi n}N\right)\cot\left(\frac{\pi n}N\right)$

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#sequences-and-series #limits #summation #asymptotics #riemann-sum
143
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Find the leading order of the integral $\int_0^1 \cos\left(x{t^4}\right)\tan t\,dt$, while $x$ goes to $+\infty$.

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#asymptotics
219
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Proving that the constant in Mertens' third theorem is $e^{-\gamma}$

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#prime-numbers #asymptotics #analytic-number-theory #riemann-zeta #euler-mascheroni-constant
32
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Estimating the order of $t$ from the given inequality

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#limits #inequality #asymptotics #estimation
142
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$E(|X_n|) = O(a_n) \implies X_n = O_p(a_n) $? Need help with proof

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#probability #random-variables #asymptotics
758
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Asymptotics for $\sum\frac{1}{p\log p}$

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#prime-numbers #asymptotics #analytic-number-theory
171
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Finding the dominant term of an integral (asymptotic expansion)

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#real-analysis #asymptotics #taylor-expansion #laplace-method
152
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Are there any divergent series that approximate to O(log log log n)?

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#asymptotics
278
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Stronger asymptotics of the partial sums of the prime zeta function

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#reference-request #asymptotics #analytic-number-theory #zeta-functions
45
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Approximating summations via integrals

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#integration #summation #asymptotics #riemann-integration
140
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Laplace's method in atypical setting

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#asymptotics #improper-integrals

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