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...

Бүрэн тодорхойлолт

Номзүйн дэлгэрэнгүй
Үндсэн зохиолч:	Wang, C
Бусад зохиолчид:	Koenigsmann, J
Формат:	Дипломын ажил
Хэвлэсэн:	2018

Ижил төстэй зүйлс

Model theory of finite-by-Presburger Abelian groups and finite extensions of $p$-adic fields
-н: Derakhshan, J, зэрэг
Хэвлэсэн: (2016)

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

On the decidability of finite extensions of decidable fields
-н: Thanagopal, K
Хэвлэсэн: (2018)

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

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

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

A p-adic analogue of the conjecture of Birch and Swinnerton-Dyer for modular abelian varieties
-н: Balakrishnan, J, зэрэг
Хэвлэсэн: (2012)

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

On Mahler’s p-adic S-, T -, and U-numbers
-н: Bugeaud Yann, зэрэг
Хэвлэсэн: (2020-03-01)

On deciding linear arithmetic constraints over -adic integers for all primes
-н: Haase, C, зэрэг
Хэвлэсэн: (2021)

Surfaces and p-adic fields
-н: Gropper, N
Хэвлэсэн: (2022)

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

p-adic numbers encode complex networks
-н: Hao Hua, зэрэг
Хэвлэсэн: (2021-01-01)

Statistical system based on p-adic numbers
-н: Mikoto Terasawa, зэрэг
Хэвлэсэн: (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
-н: Naqash Sarfraz, зэрэг
Хэвлэсэн: (2024-06-01)

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

A Study on Novel Extensions for the <i>p</i>-adic Gamma and <i>p</i>-adic Beta Functions
-н: Ugur Duran, зэрэг
Хэвлэсэн: (2019-05-01)

Two-dimensional gauge anomalies and p -adic numbers
-н: Camp, I, зэрэг
Хэвлэсэн: (2024)

Rational number arithmetic by Parallel P-adic Algorithms /
-н: 284588 Limongeli, Carla, зэрэг

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

Two-dimensional gauge anomalies and p-adic numbers
-н: Imogen Camp, зэрэг
Хэвлэсэн: (2024-06-01)

Review on Some Sequence Spaces of p-adic Numbers
-н: Orhan Tuğ, зэрэг
Хэвлэсэн: (2017-09-01)

Deformation of semicircular and circular laws via p-adic number fields and sampling of primes
-н: Ilwoo Cho, зэрэг
Хэвлэсэн: (2019-01-01)

Some estimates for commutators of sharp maximal function on the p-adic Lebesgue spaces
-н: Wu Jianglong, зэрэг
Хэвлэсэн: (2023-12-01)

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

Characterization of Lipschitz Spaces via Commutators of Maximal Function on the p-Adic Vector Space
-н: Qianjun He, зэрэг
Хэвлэсэн: (2022-01-01)

Necessary and sufficient conditions for boundedness of commutators of maximal function on the $ p $-adic vector spaces
-н: Qianjun He, зэрэг
Хэвлэсэн: (2023-04-01)

Instantons and Monopoles in the Maximally Abelian Gauge
-н: Hart, A, зэрэг
Хэвлэсэн: (1995)

Maximal perpendicularity in certain Abelian groups
-н: Mattila Mika, зэрэг
Хэвлэсэн: (2017-08-01)

Decidability in extensions of Fp((t))
-н: Rigler, B
Хэвлэсэн: (2021)

Nearly Quadratic Mappings over p-Adic Fields
-н: M. Eshaghi Gordji, зэрэг
Хэвлэсэн: (2012-01-01)

Coleman–Weinberg potential in p-adic field theory
-н: Dmitry S. Ageev, зэрэг
Хэвлэсэн: (2020-09-01)

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

The implementation of p-adic conversion of rational numbers and its arithmetic operations /
-н: Muhammad Saiful Adham Shukor, 1992-, зэрэг
Хэвлэсэн: (2014)

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

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

Ansätze for scattering amplitudes from p-adic numbers and algebraic geometry
-н: Giuseppe De Laurentis, зэрэг
Хэвлэсэн: (2022-12-01)

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

On the existential theories of Büchi arithmetic and linear p-adic fields
-н: Guépin, F, зэрэг
Хэвлэсэн: (2019)

Some Properties of the -Extension of the -Adic Gamma Function
-н: Hamza Menken, зэрэг
Хэвлэсэн: (2013-01-01)