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Conrad
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16
Given $f(x)$ is continuous on $[0,1]$ and $f(f(x))=1$ for $x\in[0,1]$. Prove that $\int_0^1 f(x)\,dx > \frac34$.
Jul 9, 2020
15
Prove $\sum^{n+1}_{j=1}\left|\cos\left(j\cdot x\right)\right|\geqslant \frac n4$
Oct 18, 2022
15
A probably wrong proof of the Riemann Hypothesis, but where is the mistake?
Aug 27, 2019
13
What is the remainder when $1^n + 2^n + 3^n + \ldots + 99^n$ is divided by $1 + 2 + 3 + \ldots + 99$?
Nov 11, 2020
12
Series which is a product of sequences which converges, but diverges when one of them is shifted by 1
Jan 15
12
Proving inequality $|\sin(n\theta) |\le n\sin\theta$
Sep 13, 2019
11
$|f(f(z))-z^2|$ must be large somewhere in the disc $\mathbb{D}$?
Jul 16, 2021
10
A curious property of the fractional part
Dec 19, 2023
10
Complex numbers question - sum of three complex numbers
Oct 31, 2019
10
Real part of roots of monic polynomial with coefficients in [0,1] is less than golden ratio
Apr 10, 2022
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27
Why is so much work done on numerical verification of the Riemann Hypothesis?
12
A question on an equivalence of RH
9
Polynomials having all their zeros on the unit circle
9
Good "casual" advanced math books
7
A basic conjecture/observation on the Riemann $\xi$-function