Editing Quadratic residue (section)

==References==

The ''[[Disquisitiones Arithmeticae]]'' has been translated from Gauss's [[Classical Latin|Ciceronian Latin]] into [[English language|English]] and [[German language|German]]. The German edition includes all of his papers on number theory: all the proofs of quadratic reciprocity, the determination of the sign of the [[Gauss sum]], the investigations into [[biquadratic reciprocity]], and unpublished notes.

*{{citation
  | last = Gauss  | first = Carl Friedrich
  | translator-last = Clarke | translator-first = Arthur A.
  | title = Disquisitiones Arithemeticae |edition=Second corrected
  | publisher = [[Springer Science+Business Media|Springer]]
  | location = New York
  | year = 1986
  | isbn = 0-387-96254-9}}
*{{citation
  | last = Gauss  | first = Carl Friedrich
  | translator-last = Maser | translator-first = H.
  | title = Untersuchungen über hohere Arithmetik |trans-title=Disquisitiones Arithemeticae & other papers on number theory |edition=second
  | publisher = Chelsea
  | location = New York
  | year = 1965
  | isbn = 0-8284-0191-8}}
*{{citation
  | last1 = Bach  | first1 = Eric
  | last2 = Shallit | first2 = Jeffrey
  | series = Algorithmic Number Theory |volume=I |title=Efficient Algorithms
  | publisher = [[The MIT Press]]
  | location = Cambridge
  | year = 1996
  | isbn = 0-262-02405-5}}
*{{citation
  | last1 = Crandall  | first1 = Richard
  | last2 = Pomerance  | first2 = Carl
  | title = Prime Numbers: A Computational Perspective
  | publisher = Springer
  | location = New York
  | year = 2001
  | isbn = 0-387-94777-9}}
*{{Citation
  | last = Davenport
  | first = Harold
  | title = Multiplicative Number Theory |edition=third
  | publisher = Springer
  | location = New York
  | year = 2000
  | isbn = 0-387-95097-4}}
*{{Citation |last1=Garey |first1=Michael R. |author-link=Michael R. Garey |last2=Johnson |first2=David S. |author2-link=David S. Johnson |year=1979 |title=Computers and Intractability: A Guide to the Theory of NP-Completeness |publisher=W. H. Freeman |isbn=0-7167-1045-5 |url-access=registration |url=https://archive.org/details/computersintract0000gare }} A7.1: AN1, pg.249.
*{{citation |last1      = Hardy
 |first1     = G. H.
 |last2      = Wright
 |first2     = E. M.
|author1-link = G. H. Hardy
|author2-link = E. M. Wright
 |title      = An Introduction to the Theory of Numbers
 |edition    = fifth
 |publisher  = [[Oxford University Press]]
 |location   = Oxford
 |year       = 1980
 |isbn       = 978-0-19-853171-5
 |url-access = registration
 |url        = https://archive.org/details/introductiontoth00hard
}}
*{{citation
  | last1 = Ireland  | first1 = Kenneth
  | last2 = Rosen  | first2 = Michael
  | title = A Classical Introduction to Modern Number Theory |edition=second
  | publisher = Springer
  | location = New York
  | year = 1990
  | isbn = 0-387-97329-X}}
*{{citation
  | last1 = Lemmermeyer  | first1 = Franz
  | title = Reciprocity Laws: from Euler to Eisenstein
  | publisher = Springer
  | location = Berlin
  | year = 2000
  | isbn = 3-540-66957-4}}
*{{Citation
  |first1=Kenneth L. |last1=Manders
  |last2=Adleman |first2=Leonard |author2-link=Leonard Adleman
  |title = ''NP''-Complete Decision Problems for Binary Quadratics
  |journal = Journal of Computer and System Sciences
  |volume=16 |issue=2 |year=1978
  |pages = 168&ndash;184
  |doi = 10.1016/0022-0000(78)90044-2
  |postscript = .|doi-access=free
  }}