List questions from upper-lower-bounds

Published on 25 Mar 2026 - 14:21

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Double Integral Bounds / Substitution

Published on 25 Mar 2026 - 14:21

342

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Bound $|x^TAy|$ in terms of $\|A\|$ and $|x^Ty|$

Published on 24 Mar 2026 - 23:46

73

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Can a bound be given to $\sum_{a=1}^{p-1}\chi(a)\left(\frac{a^2-1}{p}\right)$, which is smaller than $p$, where $\chi$ is a dirichlet character?

Published on 25 Mar 2026 - 6:13

35

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What is a good estimate for $\sum_{t=0}^T \frac{1}{\gamma^t}\frac{1}{\sqrt{t + 1}}$, where $0 < \gamma < 1$?

Published on 19 Apr 2019 - 13:37

179

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Let $n_1,\ldots,n_k$ be positive integers summing to $N$. What's an upper bound for $\sum_{i=1}^k1/\sqrt{n_i}$?

Published on 25 Mar 2026 - 6:30

169

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L2 metric entropy with bracketing

Published on 26 Mar 2026 - 1:00

175

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Good upper bound for $\sum_{n=1}^N a^{-n} n^{-b}$, for $a, b \in (0, 1]$

Published on 23 Apr 2019 - 19:26

179

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A Binomial bound for the CDF of the Hypergeometric distribution?

Published on 24 Apr 2019 - 21:22

38

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Non nested bounds for conditional expectation

Published on 25 Apr 2019 - 6:27

846

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Lower bounds on sum of squared sub-gaussians

Published on 25 Apr 2019 - 22:59

221

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If $N$ is deficient-perfect, under what conditions does this inequality hold?

Published on 25 Mar 2026 - 13:55

59

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Simple upper bound of sum of first m combinations

Published on 26 Apr 2019 - 14:36

31

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Is it that $\frac{p}{2-p}(n-1)^{(p-2)/p} \leq Cy^{p-2}$, $ p \in (1,2), y \in [(n-1)^{1/p}, n^{1/p}]$?

Published on 29 Apr 2019 - 12:40

88

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Finding set of upper bounds

Published on 27 Mar 2026 - 21:15

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Multivariable Calculus - Change of Bound Help!

Double Integral Bounds / Substitution

Bound $|x^TAy|$ in terms of $\|A\|$ and $|x^Ty|$

Can a bound be given to $\sum_{a=1}^{p-1}\chi(a)\left(\frac{a^2-1}{p}\right)$, which is smaller than $p$, where $\chi$ is a dirichlet character?

What is a good estimate for $\sum_{t=0}^T \frac{1}{\gamma^t}\frac{1}{\sqrt{t + 1}}$, where $0 < \gamma < 1$?

Let $n_1,\ldots,n_k$ be positive integers summing to $N$. What's an upper bound for $\sum_{i=1}^k1/\sqrt{n_i}$?

L2 metric entropy with bracketing

Good upper bound for $\sum_{n=1}^N a^{-n} n^{-b}$, for $a, b \in (0, 1]$

A Binomial bound for the CDF of the Hypergeometric distribution?

Non nested bounds for conditional expectation

Lower bounds on sum of squared sub-gaussians

If $N$ is deficient-perfect, under what conditions does this inequality hold?

Simple upper bound of sum of first m combinations

Is it that $\frac{p}{2-p}(n-1)^{(p-2)/p} \leq Cy^{p-2}$, $ p \in (1,2), y \in [(n-1)^{1/p}, n^{1/p}]$?

Finding set of upper bounds

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