History of Regulators of real quadratic fields

back to table · edit · history · where entries came from · files

when	who	what
2026-09-09 08:58	bmatschke	link the entry the sentence means, not the whole table	current reviewed
2026-09-04 14:24	bmatschke	who asked for a table is not a fact about the mathematics; the issue is answered in the issue
2026-09-02 20:33	bmatschke	say what d is where K is introduced, name the formulas instead of pointing below at what the page draws above, take the run out of three formulas, and stop claiming of every entry that the fundamental unit is not a smallest Pell solution -- for 225 of the 302 it is
2026-09-02 01:35	bmatschke	the parameters say what the family is indexed by; how much of it is tabulated is what complete says
2026-09-01 22:28	zeta3 with assisted by claude (numb	regulators of real quadratic fields with D <= 1000: log of the fundamental unit of the maximal order in ball arithmetic, each unit checked against the continued fraction of sqrt d
2026-09-01 22:28	zeta3	checking that this table can be written to
2026-09-01 22:28	zeta3	regulators of real quadratic fields, D <= 1000: the document, to be filled by generate.py

What changed between 2026-09-04 14:24 and 2026-09-09 08:58

from line 39 (5 lines) @@ -39,5 +39,5 @@

   comment-recognisable: '$R_K$ is transcendental, being the logarithm of an algebraic     number other than $0$ and $1$, but a few entries are constants a reader may hold-    under another name: $R_K=\log\varphi$ for $D=5$, with $\varphi$ HREF{Golden_ratio}[the+    under another name: $R_K=\log\varphi$ for $D=5$, with $\varphi$ HREF{Golden_ratio#phi}[the     golden ratio], $\log(1+\sqrt{2})=\operatorname{arsinh}(1)$ for $D=8$, $\log(2+\sqrt{3})=\operatorname{arcosh}(2)$     for $D=12$. In general $R_K=\operatorname{arcosh}(t/2)$ or $\operatorname{arsinh}(t/2)$,