Algebraic Number Theory

Lang, S. (1994). Algebraic Number Theory. Springer.

Type

Book

Intellectual base

Review or monograph

Year

1994

DOI

10.1007/978-1-4612-0853-2

ISBN

9781461269229

DOI registrant

Springer Nature

Link

https://doi.org/10.1007/978-1-4612-0853-2

Cited by

3 citations across 3 artifacts.

Domain-specific

• Algebraic number field
  • … transfers from The quadratic field Q(√d) has degree two for square-free d≠1, with basis {1,√d} and a ring of integers determined by d modulo four. to Factoring a rational prime in a number field's ring of integers reveals splitting, ramification, and residue degrees relevant to reciprocity and Diophantine equations..
• Dedekind zeta function
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.
• Modulus (algebraic number theory)
  • … field and places, finite-support exponent function, infinite-place convention, finite and infinite parts, congruence subgroup, ray class relation and ramification interpretation are explicit. to An applied instance preserves the same invariant under changed scale, notation, jurisdiction, dataset, or implementation..

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