W-t-P

Hundred Acre Wood, United Kingdom

top accounts reputation activity subscriptions

When is $\sum_{n\in\mathbb Z} f(x+n)$ constant?

fa.functional-analysis analytic-functions asked Mar 6, 2019 at 19:45

mathoverflow.net

10 votes

Are there polynomials in $\mathbb{R}[x]$, other than $P(x)=x^2$, such that $P(\sin x)+P(\cos x)=1$ for all real $x$?

trigonometry polynomials asked Dec 18, 2019 at 15:52

math.stackexchange.com

9 votes

A006517: Numbers with $n\mid 2^n+2$

elementary-number-theory divisibility asked Mar 12, 2019 at 10:42

math.stackexchange.com

8 votes

If $\tan(x_1) \cdots\tan(x_n)=1$ for acute $x_i$, then does it follow that $\cos(x_1)+\cdots+\cos(x_n) \leq n\sqrt{2}/2$?

trigonometry inequality optimization substitution cauchy-schwarz-inequality asked Feb 13, 2019 at 12:01

math.stackexchange.com

8 votes

A006517: Integers with $n\mid 2^n+2$

nt.number-theory prime-numbers asked Mar 23, 2019 at 7:56

mathoverflow.net

8 votes

Why does $\int_0^{2\pi} (1+2\cos(x))/(5+4\cos(x))\,dx$ vanish?

calculus integration definite-integrals asked Jun 20, 2015 at 17:08

math.stackexchange.com

6 votes

A relation between a binomial sum and a trigonometric integral

binomial-coefficients combinatorial-identities asked Nov 25, 2016 at 16:17

mathoverflow.net

5 votes

Counting primes $p\equiv 1\pmod 4$

elementary-number-theory prime-numbers asked Oct 30, 2016 at 7:47

math.stackexchange.com

5 votes

Reversing the CRT: Is $5$ tough?

nt.number-theory prime-numbers congruences asked Apr 13, 2019 at 12:57

mathoverflow.net

Top Answers

Showing a polynomial having at least one integer root under certain conditions has precisely one integer root

math.stackexchange.com

Is $100$ the only square number of the form $a^b+b^a$?

math.stackexchange.com

Limit in number theory

math.stackexchange.com

Find all integers $x, y, u, v$ for which holds: $x^2 + y^2 = 3(u^2 + v^2)$.

math.stackexchange.com

Prove $13^{17} \ne x^2 + y^5$

math.stackexchange.com

Could prime numbers be defined like this?

math.stackexchange.com

$24$ is the largest integer divisible by all integers less than its square root

math.stackexchange.com

Prove that if $ab$ is a perfect square and $GCD(a,b)=1$, then $a$ and $b$ are perfect squares

math.stackexchange.com

Find $\lim_{n \to \infty} \left(n - \sum_{k=1} ^{n} \cos \frac{\sqrt{k}}{n} \right)$

math.stackexchange.com

Count Integers Not Greater Than $a$ Coprime To $b$

math.stackexchange.com

Do there exist (non-trivial) prime solutions to the equations $p^2 = 1$ mod $q$, $q = 1$ mod $p$?

math.stackexchange.com

How to prove $P(A\cup B) = P(A) + P(B) - P(A\cap B)$

math.stackexchange.com

Is $f(x)=k \log x$ the only solution to the equation $\sum_{i=1}^{n}f(x_{i})=f(\prod_{i=1}^{n}x_{i})$?

math.stackexchange.com

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

math.stackexchange.com

Show that $\int_0^\sqrt{\pi} e^{-x^2}\sin(x^2)dx>\frac{\sqrt{\pi}}{2}e^{-\pi}$

math.stackexchange.com

Prove $\sum_{cyc} a(a-b)(a-2b) \ge 0$.Where $a,b,c \ge 0$

math.stackexchange.com

Probability for a number to be a semiprime?

math.stackexchange.com

Combinatorial proof of $\frac{2^{2n}}{n+1}$ $\leq$ ${2n}\choose{n}$

math.stackexchange.com