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-   -   quadratic reciprocity law for gaussian integer and pyth. triple (https://www.mersenneforum.org/showthread.php?t=25735)

bhelmes 2020-07-13 17:58

quadratic reciprocity law for gaussian integer and pyth. triple
 
A peaceful evening for you,


I noticed that there exists a quadratic reciprocity law for gaussian integers:
[URL="https://en.wikipedia.org/wiki/Quadratic_reciprocity#Gaussian_integers"]https://en.wikipedia.org/wiki/Quadra...ssian_integers[/URL]


Do I see it right that every pyth. triple a, b, c with a²+b²=c²
is always a positiv residue for a+bI, because b is even ?


Greetings from the unit circle :hello: :cmd: :beatdown:

Bernhard


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