Image:Disquisitiones-Arithmeticae-p133.jpg

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[edit] Summary

This is a scan of page 133 of the first edition of Gauss' Disquisitiones Arithmeticae, containing the quadratic reciprocity law.

The symbols a and a` denote prime numbers of the form 4n+1, the symbols b and b` denote prime numbers of the form 4n+3. R stands for "is a square modulo" and N for "is not a square modulo". The third formula, for example, should be read as:

If a is a square modulo b, or equivalently, if -a is not a square modulo b; then both b and -b are squares modulo a.

[edit] Licensing

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[edit] Historio de la dosiero

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• (del) (cur) 15:22, 1 February 2006 . . en:User:Lenthe Lenthe ( en:User_talk:Lenthe Talk) . . 479x800 (71861 bytes) (page 133 of the first edition of Gauss' en:Disquisitiones_Arithmeticae Disquisitiones Arithmeticae, containing the en:Quadratic_reciprocity quadratic reciprocity law. The symbols a and a' denote prime numbers of the form 4n+1, the symbols b and b' de)

• Quadratic reciprocity