en>Dthomsen8: /* References */clean up, typo(s) fixed: chinese → Chinese using AWB

2014-01-23T00:29:35Z

References: clean up, typo(s) fixed: chinese → Chinese using AWB

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In [[mathematics]], '''Heegner's lemma''' is a lemma used by [[Kurt Heegner]] in his paper on the [[class number problem]]. His lemma states that if

:<math>y^2=a_4x^4+a_3x^3+a_2x^2+a_1x+a_0 \, </math>

is a curve over a field with ''a''<sub>4</sub> not a square, then it has a solution if it has a solution in an [[field extension|extension]] of odd degree.

==References==

*{{Citation | last1=Birch | first1=Bryan | editor1-last=Darmon | editor1-first=Henri | editor2-last=Zhang | editor2-first=Shou-Wu | title=Heegner points and Rankin L-series | url=http://dx.doi.org/10.1017/CBO9780511756375.002 | publisher=[[Cambridge University Press]] | series=Math. Sci. Res. Inst. Publ. | isbn=978-0-521-83659-3 | doi=10.1017/CBO9780511756375.002 | id={{MR|2083207}} | year=2004 | volume=49 | chapter=Heegner points: the beginnings | pages=1–10}}

[[Category:Diophantine equations]]

{{numtheory-stub}}

Mojette Transform - Revision history

en>Dthomsen8: /* References */clean up, typo(s) fixed: chinese → Chinese using AWB