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  • 11-XX Number theory
  • 11Rxx Algebraic number theory: global fields
  • 11R58 Arithmetic theory of algebraic function fields

11Rxx Algebraic number theory: global fields

  • 11R04 Algebraic numbers; rings of algebraic integers
  • 11R06 PV-numbers and generalizations; other special algebraic numbers; Mahler measure
  • 11R09 Polynomials (irreducibility, etc.)
  • 11R11 Quadratic extensions
  • 11R16 Cubic and quartic extensions
  • 11R18 Cyclotomic extensions
  • 11R20 Other abelian and metabelian extensions
  • 11R21 Other number fields
  • 11R23 Iwasawa theory
  • 11R27 Units and factorization
  • 11R29 Class numbers, class groups, discriminants
  • 11R32 Galois theory
  • 11R33 Integral representations related to algebraic numbers; Galois module structure of rings of integers
  • 11R34 Galois cohomology
  • 11R37 Class field theory
  • 11R39 Langlands-Weil conjectures, nonabelian class field theory
  • 11R42 Zeta functions and L -functions of number fields
  • 11R44 Distribution of prime ideals
  • 11R45 Density theorems
  • 11R47 Other analytic theory
  • 11R52 Quaternion and other division algebras: arithmetic, zeta functions
  • 11R54 Other algebras and orders, and their zeta and L -functions
  • 11R56 Adèle rings and groups
  • 11R58 Arithmetic theory of algebraic function fields
  • 11R60 Cyclotomic function fields (class groups, Bernoulli objects, etc.)
  • 11R65 Class groups and Picard groups of orders
  • 11R70 K -theory of global fields
  • 11R80 Totally real fields
  • 11R99 None of the above, but in this section
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On the vanishing of Iwasawa invariants of geometric cyclotomic ℤₚ-extensions

Akira Aiba (2003)

Acta Arithmetica

On valued function fields II. Regular functions and elements with the uniqueness property.

B. Green, M. Matignon, F. Pop (1990)

Journal für die reine und angewandte Mathematik

Orders, in non-Eichler (R)-algebras over global function fields, having the cancellation property.

Marleen Denert (1989)

Mathematica Scandinavica

Orthogonal Decomposition of Modular Quadratic Forms.

Larry J. Gerstein (1972)

Inventiones mathematicae

Osservazioni elementari intorno al differente di un corpo o di un'algebra sopra un corpo algebrico, o sopra un corpo di funzioni algebriche di una variabile

I. Barsotti (1948)

Bollettino dell'Unione Matematica Italiana

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