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Infinite Series of Rational Terms

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#sequences-and-series #number-theory #riemann-zeta #irrational-numbers #rational-numbers
112
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Another proof of e is irrational?

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#calculus #analysis #number-theory #exponential-function #irrational-numbers
53
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Suppose $n \in \Bbb N$ has a root that isn't whole, prove $\sqrt n$ is irrational

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#irrational-numbers
137
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Is this proof that $\sqrt{6}$ is irrational valid?

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#proof-writing #radicals #irrational-numbers
250
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Dedekind cuts: How to prove irrationality and how to compute decimal expansion in practice

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#real-numbers #irrational-numbers #decimal-expansion
83
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Difference betwwen $(\sqrt{2}, \pi)\cap \mathbb Q$ and $[\sqrt{2}, \pi]\cap \mathbb Q$ in $\mathbb Q$

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#general-topology #irrational-numbers #rational-numbers
51
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Is the following function eventually positive?

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#real-analysis #irrational-numbers #decimal-expansion
72
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Proving the divergence of a number-theoretic sequence

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#sequences-and-series #analysis #number-theory #analytic-number-theory #irrational-numbers
53
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Prove that there is a irrational number between two real numbers.

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#real-analysis #irrational-numbers
118
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Why this reductio ad absurdum works to show $\sqrt7$ is irrational but it does not work for $\sqrt[3]8$?

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#irrational-numbers #rational-numbers
384
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Can one establish the irrationality of $\varphi$ and other numbers with aperiodic tilings?

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#reference-request #irrational-numbers #tiling
147
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Can a fraction of irrational numbers be an integer (specific case)?

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#real-analysis #analysis #integers #irrational-numbers
113
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Irrational root of polynomial problem (Putnam 1976/A4)

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#polynomials #irreducible-polynomials #irrational-numbers
36
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What are integers $a$ and $b$ if $a\sqrt2 + \sqrt3=0$? And its generalisation.

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#algebra-precalculus #irrational-numbers
90
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How can I prove that $\pi+\pi^2$ is irrational?

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#irrational-numbers

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