Question

Roots of polynomials as continued fractions

score 323 · Answer 1 · 2023-05-01 15:54:06

323

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Roots of polynomials as continued fractions

Published on 01 May 2023 - 15:54

score 56 · Answer 2 · 2023-05-05 18:49:31

56

Views

Difference of Two Numbers with Similar Continued Fraction Expansions.

Published on 05 May 2023 - 18:49

score 155 · Answer 3 · 2023-05-12 05:07:29

155

Views

The convergent of the continued fraction of $ \sqrt{N} $ modulo $4$.

Published on 12 May 2023 - 5:07

score 83 · Answer 4 · 2023-05-12 19:44:02

83

Views

Convergence of approximation method used in generalized continued fractions

Published on 12 May 2023 - 19:44

score 83 · Answer 5 · 2026-03-26 09:58:06

83

Views

Golden number, diagonals of polygons and continued fractions

Published on 26 Mar 2026 - 9:58

score 312 · Answer 6 · 2026-02-23 04:17:58

312

Views

Irrationality measure of e

Published on 23 Feb 2026 - 4:17

score 107 · Answer 7 · 2023-06-01 06:52:23

107

Views

Is $\sum_{n=1}^\infty\Gamma(n)/n^n$ demonstrably irrational?

Published on 01 Jun 2023 - 6:52

score 134 · Answer 8 · 2023-06-04 03:53:40

134

Views

How to expand a continued fraction generating function?

Published on 04 Jun 2023 - 3:53

score 42 · Answer 9 · 2023-06-07 15:35:09

42

Views

Continued fraction expansion for $\sqrt{x^4+ax^2+bx+c}$

Published on 07 Jun 2023 - 15:35

score 39 · Answer 10 · 2023-06-13 16:20:27

Is there an integer-arithmetic algorithm to compute the continued fraction expansion of the square root of a rational number?

score 338 · Answer 11 · 2026-03-25 22:05:37

338

Views

Proving that quotient of orthogonal polynomials is a Padé approximant of Stieltjes transform.

Published on 25 Mar 2026 - 22:05

score 83 · Answer 12 · 2026-03-26 08:23:13

83

Views

Mixing Continued fraction and nested radicals does $D=-\pi+\ln(16)+(7\ln\pi)/2-7/3\arctan(\pi)$?

Published on 26 Mar 2026 - 8:23

score 22 · Answer 13 · 2023-07-07 19:08:55

22

Views

Looking for a reference for a result of Khinchin

Published on 07 Jul 2023 - 19:08

score 43 · Answer 14 · 2023-07-12 22:16:52

43

Views

Does every aperiodic 2-adic number whose corresponding real is algebraic, have a representation as a periodic p-adic for some other p?

Published on 12 Jul 2023 - 22:16

score 229 · Answer 15 · 2026-03-26 12:08:29

229

Views

For $ \{n\pmod{2 \pi}: n \in \{\ 0, 1, 2 ... 2^x\ \} \} $, is it possible to put a bound in terms of $x$ on the smallest difference between elements?

Published on 26 Mar 2026 - 12:08

List Question

Roots of polynomials as continued fractions

Difference of Two Numbers with Similar Continued Fraction Expansions.

The convergent of the continued fraction of $ \sqrt{N} $ modulo $4$.

Convergence of approximation method used in generalized continued fractions

Golden number, diagonals of polygons and continued fractions

Irrationality measure of e

Is $\sum_{n=1}^\infty\Gamma(n)/n^n$ demonstrably irrational?

How to expand a continued fraction generating function?

Continued fraction expansion for $\sqrt{x^4+ax^2+bx+c}$

Is there an integer-arithmetic algorithm to compute the continued fraction expansion of the square root of a rational number?

Proving that quotient of orthogonal polynomials is a Padé approximant of Stieltjes transform.

Mixing Continued fraction and nested radicals does $D=-\pi+\ln(16)+(7\ln\pi)/2-7/3\arctan(\pi)$?

Looking for a reference for a result of Khinchin

Does every aperiodic 2-adic number whose corresponding real is algebraic, have a representation as a periodic p-adic for some other p?

For $ \{n\pmod{2 \pi}: n \in \{\ 0, 1, 2 ... 2^x\ \} \} $, is it possible to put a bound in terms of $x$ on the smallest difference between elements?

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