Factoring in Quadratic Fields.

Conrad, K. Factoring in Quadratic Fields.

Type

Web resource

Intellectual base

Web

Pages cited

1-3

Link

https://kconrad.math.uconn.edu/blurbs/ugradnumthy/quadraticgrad.pdf

Cited by

2 citations across 2 artifacts.

Each citation links to the sentence it supports in the citing article.

Domain-specific

• Quadratic Field
  • The nontrivial automorphism sends $\sqrt d$ to $-\sqrt d$, and hence sends $a+b\sqrt d$ to $a-b\sqrt d$.
• Quadratic Integer
  • They organize arithmetic in real and imaginary quadratic fields, Pell equations, binary quadratic forms, norm equations, Diophantine factorization, units, ideals, class groups, Euclidean algorithms, reciprocity, lattices, and selected aperiodic-tiling constructions.

    This sourceUses the full ring of integers, norms, traces, ideals, and factorization in quadratic fields. <https://kconrad.math.uconn.edu/blurbs/ugradnumthy/quadraticgrad.pdf>.

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• https://kconrad.math.uconn.edu/blurbs/gradnumthy/quadraticgrad.pdf ×1

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