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A simpler way of showing $\int_1^n \frac{t-\lfloor{t\rfloor}}{t}dt = \frac{1}{2}\log{n} +O(1)$

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#calculus #asymptotics
11.2k
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Meaning of "polynomially larger"

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#number-theory #polynomials #asymptotics #computational-complexity
51
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O(n) of given code

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#asymptotics #computer-science #computational-complexity
370
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Convergence of prime zeta function for $\mathfrak R(s)=1$?

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#sequences-and-series #proof-verification #asymptotics #analytic-number-theory #zeta-functions
149
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How to show that for all k, $k! \ge (k/2)^{k/2}$

Published on
#permutations #asymptotics #factorial #proof-explanation
17
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Showing $\frac n {log_2 n} = \Omega (n^{\frac 1 {100}})$ and another

Published on
#sequences-and-series #asymptotics
99
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Error in the CLRS book for analyzing time complexity?

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#number-theory #recurrence-relations #asymptotics
96
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Asymptotics of $\sum_{n\leq x}d(kn)$ where $k$ is composite

Published on
#elementary-number-theory #asymptotics
219
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Solving $T(n)= T(\frac n 2) + 2 T(\frac n 4) + n$

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#sequences-and-series #asymptotics
967
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Solving $\sum_{i=0} ^{\log n} i2^i$

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#calculus #sequences-and-series #asymptotics
24
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Showing that $f(x) \leq O(g(x))$.

Published on
#asymptotics
251
Views

Combining Firoozbakht's conjecture and abc conjecture

Published on
#prime-numbers #asymptotics #analytic-number-theory #conjectures
456
Views

Properties of stochastic little o notation

Published on
#probability #asymptotics #weak-convergence
142
Views

Implications of convergence in probability

Published on
#probability #convergence-divergence #asymptotics
186
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Inequalities with stochastic Big O

Published on
#probability #asymptotics #weak-convergence

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