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323:{\displaystyle -2{mht \over u}\equiv \sum _{0<k<d}{\chi (k) \over k}\lfloor {k/p}\rfloor {\pmod {p}}}
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There are some generalisations of these basic results, in the papers of the authors.
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Concerns the class number of a real quadratic field of discriminant > 0
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117:{\displaystyle \varepsilon ={\frac {t+u{\sqrt {d}}}{2}}}
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360:{\displaystyle m={\frac {d}{p}}\;}
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36:Ankeny–Artin–Chowla congruence
18:Ankeny-Artin-Chowla congruence
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392:for the quadratic field. For
645:. You can help Knowledge by
447:A related result is that if
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641:-related article is a
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64:discriminant
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52:class number
40:N. C. Ankeny
35:
29:
686:Categories
575:Chowla, S.
560:References
201:. In case
58:of a real
44:Emil Artin
571:Artin, E.
489:−
475:≡
421:⌋
415:⌊
375:χ
302:⌋
286:⌊
268:χ
244:∑
240:≡
216:−
131:and
84:ε
48:S. Chowla
577:(1952),
440:of
190:for any
616:0049948
608:1969656
545:is the
404:. Here
614:
606:
536:where
333:where
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637:This
604:JSTOR
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643:stub
257:<
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596:doi
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513:mod
449:d=p
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