Mathematics
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Pascal
  • Member for 7 years, 1 month
  • Last seen more than a month ago
  • France
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83
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Top posts
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question
26
Mysterious sum equal to $\frac{7(p^2-1)}{24}$ where $p \equiv 1 \pmod{4}$
Feb 15, 2023
question
23
Existence of an antiderivative function on an arbitrary subset of $\mathbb{R}$
Jul 18, 2018
question
18
Does $f'(x)\in \mathbb Z$ a.e. implies that $f$ is an affine function?
Apr 4, 2017
question
18
Prove $\int_0^1 \frac{\ln x\ +\ \ln(\sqrt x\ +\sqrt {1+x})}{\sqrt {1-x^2}} dx=0$
Jan 15, 2022
question
18
If $\lim_{t\to +\infty} \int_{0}^{\pi} f(x)e^{xt} \, dx=0$ then $f=0$?
Oct 5, 2022
question
13
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 7, 2023
question
13
A mysterious equality $\int_0^1 \left( e^x+x-1\right) e^{-\frac{x}{\mathrm{e}^x-1}}~dx=(e-1)^2e^{\frac e{1-e}}$
Oct 21, 2022
question
13
Existence of function satisfying $f(f'(x))=x$ almost everywhere
Aug 4, 2019
question
12
Characterization of the sinus
Mar 21, 2017
question
10
sum $\sum_{k=1}^{n-1}(1-\frac{k}{n})^{-a}\left(\frac{\log\left(k\right)}{k}-\frac{\log\left(k+1\right)}{k+1}\right)$
Dec 19, 2021
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22
Differential equation changing sign almost everywhere
19
Conjecture $ \sum _{i=1}^{n-1}\lfloor \frac{i^2}{n}\rfloor \ge \frac{\left(n-1\right)\left(n-2\right)}3$ where $n\in\mathbb N^*$
18
Existence of an antiderivative function on an arbitrary subset of $\mathbb{R}$
18
Mysterious sum equal to $\frac{7(p^2-1)}{24}$ where $p \equiv 1 \pmod{4}$
14
Determinant equal to Fibonacci sequence