Newbetuts

What is the role of mathematical intuition and common sense in questions of irrationality or transcendence of values of special functions?

Are $\pi$ and $e$ algebraically independent?

Deciding whether $2^{\sqrt2}$ is irrational/transcendental [duplicate]

Is $\{\tan(x) : x\in \mathbb{Q}\}$ a group under addition?

What are examples of unexpected algebraic numbers of high degree occured in some math problems?

Is $0.1010010001000010000010000001 \ldots$ transcendental?

What if $\pi$ was an algebraic number? (significance of algebraic numbers)

Proof that a trigonometric function of a rational angle must be non-transcendental

Is $6.12345678910111213141516171819202122\ldots$ transcendental?

Calculating pi manually

How hard is the proof of $\pi$ or $e$ being transcendental?

Suppose that $c$ is transcendental over $\mathbb{Q}.$ Show that $\sqrt{c}$ and $c + \sqrt{c}$ are also transcendental.

Are the sums $\sum_{n=1}^{\infty} \frac{1}{(n!)^k}$ transcendental?

Is $ 0.112123123412345123456\dots $ algebraic or transcendental?

Is $\sqrt {2 \sqrt {3 \sqrt {4 \ldots}}}$ algebraic or transcendental?

New posts in transcendental-numbers

Every Real number is expressible in terms of differences of two transcendentals

Is $0.23571113171923293137\dots$ transcendental?

Do the Liouville Numbers form a field?

Linear independence of the numbers $\{1,e,e^2,e^3\}$

Closed form for a pair of continued fractions

What is the role of mathematical intuition and common sense in questions of irrationality or transcendence of values of special functions?

Are $\pi$ and $e$ algebraically independent?

Deciding whether $2^{\sqrt2}$ is irrational/transcendental [duplicate]

Is $\{\tan(x) : x\in \mathbb{Q}\}$ a group under addition?

What are examples of unexpected algebraic numbers of high degree occured in some math problems?

Is $0.1010010001000010000010000001 \ldots$ transcendental?

What if $\pi$ was an algebraic number? (significance of algebraic numbers)

Proof that a trigonometric function of a rational angle must be non-transcendental

Is $6.12345678910111213141516171819202122\ldots$ transcendental?

Calculating pi manually

How hard is the proof of $\pi$ or $e$ being transcendental?

Suppose that $c$ is transcendental over $\mathbb{Q}.$ Show that $\sqrt{c}$ and $c + \sqrt{c}$ are also transcendental.

Are the sums $\sum_{n=1}^{\infty} \frac{1}{(n!)^k}$ transcendental?

Is $ 0.112123123412345123456\dots $ algebraic or transcendental?

Is $\sqrt {2 \sqrt {3 \sqrt {4 \ldots}}}$ algebraic or transcendental?