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New posts in rational-numbers
Prove that the square root of any irrational number is irrational.
rational-numbers
Is there a definition of a "pseudo period" for $f(x)=\sin(3x)+\sin(\pi x)$?
trigonometry
irrational-numbers
rational-numbers
periodic-functions
quasiperiodic-function
How can I show the sets are open? (The set of rational numbers $\mathbb{Q}$ is not a connected topological space)
real-analysis
general-topology
rational-numbers
Compute the kernel of the group hom $\Omega : \Bbb{Q}^{\times} \to \Bbb{Z}^+$.
group-theory
prime-numbers
integers
rational-numbers
group-homomorphism
Rational numbers as vectors in infinite dimensional space with the basis $( \log 2,\log 3, \log 5, \log 7, \dots, \log p, \dots) $
linear-algebra
number-theory
vector-spaces
rational-numbers
How to obtain all the rational numbers without repetitions?
elementary-number-theory
rational-numbers
Does there exist a bijection $f$ from $\mathbb{N}$ to $\mathbb{Q}^+$ such that $\lim_{n \to \infty} \frac{f(n+1)}{f(n)}$ exists?
real-analysis
rational-numbers
Proving that the Calkin-Wilf tree enumerates the rationals.
sequences-and-series
elementary-number-theory
rational-numbers
Pondering $f(x) = \alpha x$ for an irrational $\alpha$.
real-numbers
rational-numbers
slope
When is an Integer a Rational Number, and are All Ratios Rational, Even $\frac{\sqrt{7}}{2}$?
irrational-numbers
real-numbers
rational-numbers
Find minimum $n$ for $x^2+3x+6=f_1(x)^2+f_2(x)^2+ \cdots +f_n(x)^2$
algebra-precalculus
number-theory
polynomials
rational-numbers
Which is greater: $1000^{1000}$ or $1001^{999}$
algebra-precalculus
inequality
arithmetic
exponentiation
rational-numbers
Is $\frac{\zeta (m+n)}{\zeta (m)\zeta (n)}$ a rational number for $m,n\ge 2\in\mathbb N$?
riemann-zeta
rational-numbers
zeta-functions
bernoulli-numbers
Prove that x is rational
algebra-precalculus
rational-numbers
Linear Diophantine equations with fractional coefficients
diophantine-equations
integers
rational-numbers
Variation in density of the Farey sequence in the interval $[0,1]$
number-theory
rational-numbers
farey-sequences
If $a^4+b^4\in\mathbb Q$ and $a^3+b^3\in\mathbb Q$ and $a^2+b^2\in\mathbb Q$, prove that $a+b\in\mathbb Q$ and $ab\in\mathbb Q$.
elementary-number-theory
contest-math
factoring
rational-numbers
Rational root theorem
polynomials
rational-numbers
For what algebraic curves do rational points form a group?
group-theory
number-theory
algebraic-geometry
rational-numbers
For $A \in \mathcal{M}_3(\mathbb{C})$, does $\mathrm{tr}(A^2) = \mathrm{tr}(A^3) \in \mathbb{Q}$ imply $\mathrm{tr}(A^4) \in \mathbb{Q}$?
linear-algebra
matrices
rational-numbers
trace
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