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The inverse infinite sum of square free numbers

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#sequences-and-series #number-theory #transcendental-numbers #zeta-functions
95
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Sums of infinite algebraic numbers that are $\mathbb{Q}$-linearly independent

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#sequences-and-series #taylor-expansion #algebraic-number-theory #transcendental-numbers
428
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What methods show that a number is transcendental?

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#soft-question #conjectures #transcendental-numbers #transcendence-theory
128
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What would be some implications of Schanuel's conjecture being proven wrong?

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#number-theory #transcendental-numbers #transcendence-theory #transcendence-degree
119
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Show that $\ln(\ln(n))$ is not rational for all integers $n\geq2$

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#logarithms #irrational-numbers #transcendental-numbers
127
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Uniqueness of a Polynomial Evaluated at $\pi$

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#abstract-algebra #elementary-number-theory #transcendental-numbers
149
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Is $\log_a b$ irrational for some integer $a$ and algebraic $b$?

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#number-theory #logarithms #irrational-numbers #transcendental-numbers
110
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Some doubts on a classical example of Liouville Number

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#transcendental-numbers
190
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Tangent and transcendental numbers

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#number-theory #trigonometry #algebraic-number-theory #transcendental-numbers
461
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Is Sophomore's Dream Transcendental?

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#integration #definite-integrals #transcendental-numbers
766
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Showing that Liouville's numbers are transcendental (Liouville's theorem)

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#real-analysis #number-theory #transcendental-numbers #transcendence-theory
763
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Let $x$ be transcendental over $F$. Let $y=f(x)/g(x)$ be a rational function. Prove $[F(x):F(y)]=\max(\deg f,\deg g)$

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#polynomials #field-theory #extension-field #transcendental-numbers
104
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Pi vs Irrational Numbers

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#number-theory #irrational-numbers #pi #transcendental-numbers
73
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How can you prove algebraic inputs of a transcendental function are transcendental?

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#transcendental-numbers #transcendental-functions
158
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How does the Gelfond–Schneider theorem prove $e^\pi$ is transcendental?

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#proof-verification #irrational-numbers #transcendental-numbers

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