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Paul
  • Member for 7 years, 5 months
  • Last seen more than 1 year ago
  • France
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Top posts

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22
Differential equation changing sign almost everywhere
Jul 23, 2018
20
Conjecture $ \sum _{i=1}^{n-1}\lfloor \frac{i^2}{n}\rfloor \ge \frac{\left(n-1\right)\left(n-2\right)}3$ where $n\in\mathbb N^*$
Mar 11, 2023
18
Existence of an antiderivative function on an arbitrary subset of $\mathbb{R}$
Jul 20, 2018
18
Mysterious sum equal to $\frac{7(p^2-1)}{24}$ where $p \equiv 1 \pmod{4}$
Feb 16, 2023
14
Determinant equal to Fibonacci sequence
Sep 21, 2022
7
On the geometric Hahn-Banach theorem
Jun 27, 2019
6
How to show simply that $e^{\frac{x}{2}}\int^\infty_0 e^{-t}t^{n-\frac{1}{2}}\cos(2\sqrt{xt})dt=O\big(\frac{n!}{\sqrt{n}}\big)$?
Jan 30, 2021
5
If $\lim_{t\to +\infty} \int_{0}^{\pi} f(x)\exp(e^{xt}) \, dx=0$ then $f=0$ a.e?
Oct 7, 2022
5
A prime divisor $p$ of Fermat number $F_n$ is a Wieferich prime if and only if $p^2$ divides $F_n$ [closed]
Apr 21, 2023
4
Frêchet differentiability of the composition on a suitable Banach space
Aug 14, 2020

Top network posts

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26
Mysterious sum equal to $\frac{7(p^2-1)}{24}$ where $p \equiv 1 \pmod{4}$
23
Existence of an antiderivative function on an arbitrary subset of $\mathbb{R}$
20
Prove $\int_0^1 \frac{\ln x\ +\ \ln(\sqrt x\ +\sqrt {1+x})}{\sqrt {1-x^2}} dx=0$
19
Does $f'(x)\in \mathbb Z$ a.e. implies that $f$ is an affine function?
19
If $\lim_{t\to +\infty} \int_{0}^{\pi} f(x)e^{xt} \, dx=0$ then $f=0$?