math110

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43

Proving $\sum_{i=1}^{n}\sum_{j=1}^{n}\left\{\frac{x_{i}}{x_{j}}\right\}\le \frac{9}{14}n^2$？

Jan 3

38

A family of polynomials whose zeros all lie on the unit circle

May 3, 2018

24

show this nice and hard inequality with $ \prod_{i=1}^{n}|x_{i}-y_{i}|<e^{\frac{n}{2}}$

Oct 11, 2018

24

Is $\iiint_{[0, 1]^3} \lvert f(x)+f(y)+f(z)\rvert\, dx\, dy\, dz \ge \int_0^1 \lvert f(x)\rvert\, dx$?

Feb 5, 2021

24

This inequality why can't solve it by now (Only four variables inequality)?

Jan 12, 2015

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13

A variant of Cauchy-type functional equation conjecture

Oct 15, 2018

7

Find all solution $a,b,c$ with $(1-a^2)(1-b^2)(1-c^2)=8abc$

Jun 11, 2015

3

Absolute value inequality with complex numbers

May 12, 2016

3

Curious inequality satisfied by $g(x)=\sum_{k=0}^{\infty}1/(x^{2k+1}+1)$

Jan 4

2

How do we show this matrix has full rank?

Jan 6, 2015

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cv.complex-variables

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gm.general-mathematics

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functional-equations

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inequalities

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nt.number-theory

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+10

How do we show this matrix has full rank?

+10

Find the maximum of $|a_{p}|$, if $a_0+a_1x+\dots+a_nx^n:[-1,1]\mapsto [-1,1]$

+20

An inequality concerning Lagrange's identity

+10

Do there exist infinitely many $n$ such that $n^3+an+b$ is squarefree?

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