Question

Direct proof that for a prime $p$ if $p\equiv 1 \bmod 4$ then $l(\sqrt{p})$ is odd.

score 696 · Answer 1 · 2012-02-16 17:41:59

696

Views

Direct proof that for a prime $p$ if $p\equiv 1 \bmod 4$ then $l(\sqrt{p})$ is odd.

Published on 16 Feb 2012 - 17:41

score 348 · Answer 2 · 2012-02-18 10:15:56

348

Views

On the continued fraction of $e$

Published on 18 Feb 2012 - 10:15

score 188 · Answer 3 · 2026-03-27 07:19:49

188

Views

Do best lower approximations of a quadratic irrational always form a linear recurrence sequence?

Published on 27 Mar 2026 - 7:19

score 334 · Answer 4 · 2012-02-24 00:24:01

334

Views

Unique continued fraction

Published on 24 Feb 2012 - 0:24

score 232 · Answer 5 · 2012-02-25 12:20:45

232

Views

Calculate the quadratic irrational number given by a certain periodic cont. fraction

Published on 25 Feb 2012 - 12:20

score 532 · Answer 6 · 2012-03-04 13:36:06

532

Views

Calculating the continued fraction of $\sqrt{47}$ using a different result

Published on 04 Mar 2012 - 13:36

score 101 · Answer 7 · 2012-03-28 09:53:18

101

Views

Is that observation really a property of the log of coefficients of continued fractions (example: cf(log(3)/log(2))

Published on 28 Mar 2012 - 9:53

score 244 · Answer 8 · 2012-04-03 12:51:32

244

Views

Narrowing a Stern-Brocot tree

Published on 03 Apr 2012 - 12:51

score 195 · Answer 9 · 2012-04-10 21:34:15

195

Views

How can I find power series of $f(x)$?

Published on 10 Apr 2012 - 21:34

score 477 · Answer 10 · 2012-04-13 13:41:17

477

Views

All Even-Numbered Convergents of a Finite Continued Fraction Are Less Than the Value

Published on 13 Apr 2012 - 13:41

score 67 · Answer 11 · 2012-04-18 04:26:39

67

Views

Continued Fractions Convergents $C_k-C_{k-3}$

Published on 18 Apr 2012 - 4:26

score 858 · Answer 12 · 2012-04-18 15:05:27

858

Views

Equivalence of Two Different Irrational Numbers

Published on 18 Apr 2012 - 15:05

score 42 · Answer 13 · 2012-04-18 18:36:43

42

Views

If $x=[a_0;a_1,a_2,\dots]$, then $|x-C_k|<1/a_k^{\text{}}q_k^2$.

Published on 18 Apr 2012 - 18:36

score 637 · Answer 14 · 2012-04-19 06:41:00

637

Views

Continued fractions

Published on 19 Apr 2012 - 6:41

score 192 · Answer 15 · 2012-05-01 00:01:21

192

Views

finding the quadratic irratonality of simple continued fractions

Published on 01 May 2012 - 0:01

List Question

Direct proof that for a prime $p$ if $p\equiv 1 \bmod 4$ then $l(\sqrt{p})$ is odd.

On the continued fraction of $e$

Do best lower approximations of a quadratic irrational always form a linear recurrence sequence?

Unique continued fraction

Calculate the quadratic irrational number given by a certain periodic cont. fraction

Calculating the continued fraction of $\sqrt{47}$ using a different result

Is that observation really a property of the log of coefficients of continued fractions (example: cf(log(3)/log(2))

Narrowing a Stern-Brocot tree

How can I find power series of $f(x)$?

All Even-Numbered Convergents of a Finite Continued Fraction Are Less Than the Value

Continued Fractions Convergents $C_k-C_{k-3}$

Equivalence of Two Different Irrational Numbers

If $x=[a_0;a_1,a_2,\dots]$, then $|x-C_k|<1/a_k^{\text{}}q_k^2$.

Continued fractions

finding the quadratic irratonality of simple continued fractions

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