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Find the continued fraction digits of $\sqrt{3+i} \notin \mathbb{Q}(i)$

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#algebraic-number-theory #continued-fractions
827
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How to derive this continued fraction formula of $\ln(2)$?

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#real-analysis #continued-fractions
711
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Continued fraction of a sequence is unique

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#functions #continued-fractions
185
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Simplifying an infinite fraction

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#real-analysis #sequences-and-series #special-functions #infinite-product #continued-fractions
2.2k
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Proof that continued fractions are finite for rationals?

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#rational-numbers #continued-fractions
59
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Continued fractions: why $[a_0; a_1, a_2] \neq [a_0; a_1, a_2, 0, 0, ....]$

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#definition #continued-fractions
428
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Quadratic surd continued fraction convergent ratio limit

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#number-theory #continued-fractions
34
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Cyclic transforms of a continued fraction

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#number-theory #continued-fractions
245
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Algebraic elements in a bijection between $p$-adic numbers and formal Laurent series over $\mathbb F_p$

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#p-adic-number-theory #laurent-series #continued-fractions #transcendence-theory
705
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Generalized Pell's equation

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#number-theory #continued-fractions #pell-type-equations
39
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Nomenclature for elements of a continued fraction

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#terminology #continued-fractions
132
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What is $7-\frac{12}{7-\frac{12}{7-\frac{12}{7-\cdots}}}$?

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#convergence-divergence #continued-fractions
39
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Generating decimal representation of continued fractions without ever-increasing terms?

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#decimal-expansion #continued-fractions
80
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root of periodic continued fraction

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#number-theory #elementary-number-theory #continued-fractions
252
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Size of partial quotients in continued fraction expansion of $\sqrt{n}$

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#number-theory #roots #quadratics #continued-fractions

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