History of Residues of Dedekind zeta functions of quadratic fields

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when	who	what
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	current reviewed
2026-09-02 20:47	bmatschke	the 607 discriminants were ordered by width and then as strings, so the negative ones sat in blocks after the positive ones and a reader looking for D=-101 scrolled past D=997; order them by \|D\| with the negative one first, as the generator says it does
2026-09-02 20:38	bmatschke	caption the six related tables, which the site now draws, and add the two the corpus has grown since; name the class number formula instead of pointing below at what the page draws above; stop promising 38 digits from PARI, which gives 15 through Sage
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
2026-08-31 08:06	zeta3	repair the L-series formula: a JSON \f escape had eaten the backslash of \frac
2026-08-31 01:07	zeta3	retitle so the address does not swallow the maths
2026-08-31 00:44	zeta3 with claude-fable-5	residues of Dedekind zeta functions of quadratic fields, \|D\| <= 1000, from the digamma sum, each entry checked against the class number formula
2026-08-31 00:44	zeta3	checking that this table can be written to
2026-08-31 00:43	zeta3 with claude-fable-5	draft: residue at s=1 of the Dedekind zeta function of a quadratic field; prose first, the numbers follow from generate.py

What changed between 2026-09-02 20:47 and 2026-09-04 14:24

from line 1858 (4 lines, 2 fewer than before) @@ -1858,6 +1858,4 @@

     formula CITE{formula-class-number-real} or CITE{formula-class-number-imaginary}     turns the value into a closed form; for $D<0$ that closed form is printed.-  comment-requested: Asked for in CITE{issue42}, of which this is the quadratic case,-    and in CITE{issue22}.   comment-ideal-count: '$\kappa_D$ is the constant in the ideal count of $K$: the     number of nonzero ideals of $\mathcal{O}_K$ of norm at most $x$ is asymptotically

from line 1900 (5 lines, 5 fewer than before) @@ -1902,10 +1900,5 @@

     display: $D$     constraints: $D$ a fundamental discriminant, $D\neq 1$-References:-  issue22:-    bib: 'numberdb-data issue #22, "Special values of various L-functions at integers",-      https://github.com/numberdb/numberdb-data/issues/22'-  issue42:-    bib: 'numberdb-data issue #42, "Residue at s=1 of Dedekind zeta functions", https://github.com/numberdb/numberdb-data/issues/42'+References: {} Similar tables: - table: HREF{Rational_multiples_of_pi}[Rational multiples of $\pi$]