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22
Why is so much work done on numerical verification of the Riemann Hypothesis?
mathoverflow.net

14
A probably wrong proof of the Riemann Hypothesis, but where is the mistake?
math.stackexchange.com

14
Possible progress on the Riemann hypothesis?
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11
Given $f(x)$ is continuous on $[0,1]$ and $f(f(x))=1$ for $x\in[0,1]$. Prove that $\int_0^1 f(x)\,dx > \frac34$.
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11
What is the remainder when $1^n + 2^n + 3^n + \ldots + 99^n$ is divided by $1 + 2 + 3 + \ldots + 99$?
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10
Complex numbers question - sum of three complex numbers
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8
Proving inequality $|\sin(n\theta) |\le n\sin\theta$
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8
$f(z) = z + f(z^2)$ outside the unit disk?
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8
Evaluating $\int_{|z|=1}\frac{z^{11}}{12z^{12}-4z^9+2z^6-4z^3+1}dz$ using Rouche's theorem
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8
Inequality of $|e^z - 1|$
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8
Good “casual” advanced math books
mathoverflow.net

7
Showing that a function is constant using Liouville's theorem
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7
Show that if f is entire and $|f(z)|=1$ for all real numbers, then $f$ has no zeroes.
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6
Calculating $\lim_{n\to\infty}\left(\frac{\sin(2\sqrt 1)}{n\sqrt 1\cos\sqrt 1} +\cdots+\frac{\sin(2\sqrt n)}{n\sqrt n\cos\sqrt n}\right)$
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6
Is $(-1)^{2.16}$ a real number?
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6
Weird complex number inequality
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6
Coefficients of entire functions with specified zero set
mathoverflow.net

6
Zeros of the Hadamard product of holomorphic functions
mathoverflow.net

6
Does $\int_{2}^{\infty} (\pi(x)-Li(x))x^{-s-1} \mathrm{d}x$ converge on the real axis for $s>1/2$?
mathoverflow.net

6
Is there a collection of evidence and heuristic arguments against the Riemann hypothesis?
mathoverflow.net

5
Prove that $\frac{\sqrt[n]{\prod_{k = 1}^nx_n}}{m} \ge n - 1$ where $\sum_{k = 1}^n\frac{1}{x_k + m} = \frac{1}{m}$.
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5
Functions between polynomial and exponential order
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5
Pointwise Cauchy-Riemann equations suffice?
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5
Abel summability and Fourier series.
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5
Establishing $\frac{ \sin mx}{\sin x}=(-4)^{(m-1)/2}\prod_{1\leq j\leq(m-1)/2}\left(\sin^2x-\sin^2\frac{2\pi j}{m}\right) $ for odd $m$
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5
prove that if $|f(z)|\geq |z|+|\sin(z)|$ then it cannot be an entire function
math.stackexchange.com

5
Where can I find the problem by Lagarias?
mathoverflow.net