A Course in Computational Algebraic Number Theory

Cohen, H. (1993). A Course in Computational Algebraic Number Theory. Springer.

Type

Book

Intellectual base

Textbook

Year

1993

DOI

10.1007/978-3-662-02945-9

ISBN

9783642081422

DOI registrant

Springer Nature

Link

https://doi.org/10.1007/978-3-662-02945-9

Cited by

3 citations across 3 artifacts.

Domain-specific

• Conductor (ring theory)
  • Conductor (ring theory) is the largest ideal shared by a commutative ring and an extension ring, measuring the smaller ring's failure to be integrally closed.
• Dedekind zeta function
  • … between constitutive identity and a convenient observable transfers from For K=Q, nonzero ideals of Z correspond to positive integers and ζ_K equals the Riemann zeta function. to The residue at s=1 is related by the analytic class number formula to K's class number, regulator, roots of unity, and discriminant..
• Hermite normal form
  • Reducing each under the same column-HNF convention yields the same positive-pivot, residue-reduced representative and supplies unimodular change-of-basis certificates.

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