On the decidability of the field of maximal abelian extension of p-adic numbers

On the decidability of the field of maximal abelian extension of p-adic numbers

<p>In this project we investigate some approaches attacking the question of whether the theory of the maximal abelian extension of the p-adic numbers is decidable. A list of axioms is presented whose completeness we aim to show via quantifier elimination. We separated the quantifier eliminatio...

Bibliográfalaš dieđut
Váldodahkki:	Wang, C
Eará dahkkit:	Koenigsmann, J
Materiálatiipa:	Oahppočájánas
Almmustuhtton:	2018

Geahča maid

Model theory of finite-by-Presburger Abelian groups and finite extensions of $p$-adic fields
Dahkki: Derakhshan, J, et al.
Almmustuhtton: (2016)

P-adic numbers, P-adic analysis and zeta-functions /
Dahkki: 465056 Koblitz, Neal
Almmustuhtton: (1977)

On the decidability of finite extensions of decidable fields
Dahkki: Thanagopal, K
Almmustuhtton: (2018)

On dynamical systems induced by p-adic number fields
Dahkki: Ilwoo Cho
Almmustuhtton: (2015-01-01)

P-adic numbers and their functions /
Dahkki: 354825 Mahler, Kurt
Almmustuhtton: (1981)

Valued fields: p-adic numbers as a case study
Dahkki: Song, Ruiqi
Almmustuhtton: (2023)

A p-adic analogue of the conjecture of Birch and Swinnerton-Dyer for modular abelian varieties
Dahkki: Balakrishnan, J, et al.
Almmustuhtton: (2012)

Introduction to p-adic numbers and their functions /
Dahkki: 354825 Mahler, Kurt
Almmustuhtton: (1973)

On Mahler’s p-adic S-, T -, and U-numbers
Dahkki: Bugeaud Yann, et al.
Almmustuhtton: (2020-03-01)

On deciding linear arithmetic constraints over -adic integers for all primes
Dahkki: Haase, C, et al.
Almmustuhtton: (2021)

Surfaces and p-adic fields
Dahkki: Gropper, N
Almmustuhtton: (2022)

A Short Review on p-Adic Numbers
Dahkki: Mutlay Dogan
Almmustuhtton: (2017-12-01)

p-adic numbers encode complex networks
Dahkki: Hao Hua, et al.
Almmustuhtton: (2021-01-01)

Statistical system based on p-adic numbers
Dahkki: Mikoto Terasawa, et al.
Almmustuhtton: (2021-08-01)

Some new characterizations of boundedness of commutators of $p$-adic maximal-type functions on $p$-adic Morrey spaces in terms of Lipschitz spaces
Dahkki: Naqash Sarfraz, et al.
Almmustuhtton: (2024-06-01)

p-Adic Fractional Pseudodifferential Equations and Sobolev Type Spaces over p-Adic Fields
Dahkki: Bo Wu
Almmustuhtton: (2013-01-01)

A Study on Novel Extensions for the <i>p</i>-adic Gamma and <i>p</i>-adic Beta Functions
Dahkki: Ugur Duran, et al.
Almmustuhtton: (2019-05-01)

Two-dimensional gauge anomalies and p -adic numbers
Dahkki: Camp, I, et al.
Almmustuhtton: (2024)

Rational number arithmetic by Parallel P-adic Algorithms /
Dahkki: 284588 Limongeli, Carla, et al.

P-adic number systems for error-free computation
Dahkki: 283107 Lewis, Ruth Ann
Almmustuhtton: (1979)

Two-dimensional gauge anomalies and p-adic numbers
Dahkki: Imogen Camp, et al.
Almmustuhtton: (2024-06-01)

Review on Some Sequence Spaces of p-adic Numbers
Dahkki: Orhan Tuğ, et al.
Almmustuhtton: (2017-09-01)

Deformation of semicircular and circular laws via p-adic number fields and sampling of primes
Dahkki: Ilwoo Cho, et al.
Almmustuhtton: (2019-01-01)

Some estimates for commutators of sharp maximal function on the p-adic Lebesgue spaces
Dahkki: Wu Jianglong, et al.
Almmustuhtton: (2023-12-01)

Nörlund Matrix Domain on Sequence Spaces of p-adic Numbers
Dahkki: Orhan Tuğ
Almmustuhtton: (2018-06-01)

Characterization of Lipschitz Spaces via Commutators of Maximal Function on the p-Adic Vector Space
Dahkki: Qianjun He, et al.
Almmustuhtton: (2022-01-01)

Necessary and sufficient conditions for boundedness of commutators of maximal function on the $ p $-adic vector spaces
Dahkki: Qianjun He, et al.
Almmustuhtton: (2023-04-01)

Instantons and Monopoles in the Maximally Abelian Gauge
Dahkki: Hart, A, et al.
Almmustuhtton: (1995)

Maximal perpendicularity in certain Abelian groups
Dahkki: Mattila Mika, et al.
Almmustuhtton: (2017-08-01)

Decidability in extensions of Fp((t))
Dahkki: Rigler, B
Almmustuhtton: (2021)

Nearly Quadratic Mappings over p-Adic Fields
Dahkki: M. Eshaghi Gordji, et al.
Almmustuhtton: (2012-01-01)

Coleman–Weinberg potential in p-adic field theory
Dahkki: Dmitry S. Ageev, et al.
Almmustuhtton: (2020-09-01)

Cell decomposition for semiaffine structures on p-adic fields
Dahkki: Eva Leenknegt
Almmustuhtton: (2012-08-01)

The implementation of p-adic conversion of rational numbers and its arithmetic operations /
Dahkki: Muhammad Saiful Adham Shukor, 1992-, et al.
Almmustuhtton: (2014)

Finite segment p-adic number systems with applications to exact computation /
Dahkki: 388382 Krishnamurthy, E. V.

On an efficient algorithm for big rational number computations by parallel p-adics /
Dahkki: 284588 Limongeli, Carla

Ansätze for scattering amplitudes from p-adic numbers and algebraic geometry
Dahkki: Giuseppe De Laurentis, et al.
Almmustuhtton: (2022-12-01)

Construction of p-Adic Gibbs Measure for p-Adic λ-Ising Model
Dahkki: Mutlay Dogan
Almmustuhtton: (2017-09-01)

On the existential theories of Büchi arithmetic and linear p-adic fields
Dahkki: Guépin, F, et al.
Almmustuhtton: (2019)

Some Properties of the -Extension of the -Adic Gamma Function
Dahkki: Hamza Menken, et al.
Almmustuhtton: (2013-01-01)