richrow

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inequality

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How to find this $\prod_{k=-\infty}^{+\infty}\frac{x^2+(4k+1-y)^2}{x^2+(4k+3-y)^2}$

Aug 22, 2020

Show that the elements of the sequence are divisible by $2^n$

Jul 25, 2020

Show that $(\binom{p^2}{p} -p ) $ is divisible by $p^5$, for every prime number $p, p\ge 5$

Apr 15, 2019

Prove that every tournament contains at least one Hamiltonian path.

Mar 12, 2020

Zolotarev's Lemma and Quadratic Reciprocity

Apr 3, 2020

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For $a, b, c$ with $a+b+c=0$ prove $\frac15\sum a^5=\frac13\sum a^3\cdot\frac12\sum a^2$ and $\frac17\sum a^7=\frac15\sum a^5\cdot\frac12\sum a^2$

Jan 4, 2022

Prime numbers which divide $n^3-3n+1$

Aug 23, 2020

Сharacteristic property of polynomials with integer coefficients

Dec 29, 2019

Distribution of $\{n^p\alpha\}$ for irrational $\alpha$

May 23, 2020

Image of rational numbers under the polynomial map

Feb 1, 2020

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