Cover Image

An elementary proof of the local Kronecker-Weber theorem

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Koenigsmann, Jochen, Stock, Benedikt
Format:	Preprint
Published:	2022
Subjects:	Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The Galois characterisation of $p$-adically closed fields -- A modern perspective
by: Gitin, Leo, et al.
Published: (2026)

Recovering p-adic valuations from pro-p Galois groups
by: Koenigsmann, Jochen, et al.
Published: (2015)

An elementary proof of Newman's eta-quotient theorem
by: Savitt, David
Published: (2025)

An elementary proof of Bridy's theorem
by: Rowland, Eric, et al.
Published: (2023)

Ultra-Galois theory and an analogue of the Kronecker--Weber theorem for rational function fields over ultra-finite fields
by: Nguyen, Dong Quan Ngoc
Published: (2024)

An elementary algebraic proof of the fundamental theorem of algebra
by: Clark, Katelyn S., et al.
Published: (2025)

A note on Kronecker's approximation theorem
by: Maksimova, Daria
Published: (2024)

An elementary proof of some Ramanujan-type identities
by: Korolev, M. A.
Published: (2025)

A proof of Sugawara's conjecture on Hasse-Weber ray class invariants
by: Morton, Patrick
Published: (2024)

On the set of Kronecker numbers
by: Goswami, Sayan, et al.
Published: (2023)

An elementary proof of the theorem on the imaginary quadratic fields with class number 1
by: Carter, James E.
Published: (2024)

La formule limite de Kronecker
by: Colmez, Pierre
Published: (2025)

Liminf-results for sums with Kronecker sequence
by: Chebotarenko, Artem
Published: (2025)

A proof of Wolstenholme's theorem and congruence properties via an Egorychev-type integral
by: Pain, Jean-Christophe
Published: (2026)

An elementary proof of Cohen-Gabber theorem in the equal characteristic $p>0$ case
by: Kurano, Kazuhiko, et al.
Published: (2015)

Regular Structures in Kronecker Permutations
by: Clément, François
Published: (2025)

Higher Euler-Kronecker Constants of Number fields
by: Ghosh, Samprit
Published: (2024)

One-dimensional quasi-uniform Kronecker sequences
by: Goda, Takashi
Published: (2024)

New proofs of theorems on q-orthogonal functions
by: Chen, Dandan, et al.
Published: (2024)

A note on the Kronecker--Weyl equidistribution theorem
by: Beck, J., et al.
Published: (2024)

$n$-Valued Groups, Kronecker Sums, and Wendt's Matrices
by: Buchstaber, Victor, et al.
Published: (2025)

A new proof of Chen's theorem for Markoff graphs
by: Martin, Daniel E.
Published: (2025)

A Novel Summation Formula for the Hurwitz-Kronecker Class Number
by: Tsai, Yi-Ju
Published: (2025)

Congruences for traces of singular moduli and Hurwitz - Kronecker class numbers
by: Guerzhoy, Pavel
Published: (2026)

Existence of primes in the interval $ [15x,16x] $ -- An entirely elementary proof --
by: Aoki, Hiroki, et al.
Published: (2025)

Euler-Kronecker constants of modular forms: beyond Dirichlet $L$-series
by: Charlton, Steven, et al.
Published: (2024)

On elementary estimates for the partition function
by: Akeno, Mizuki
Published: (2025)

Weber modular curves and modular isogenies
by: Colò, Leonardo, et al.
Published: (2026)

Another proof of the almost purity theorem for perfectoid valuation rings
by: Ishiro, Shinnosuke, et al.
Published: (2020)

The local converse theorem for $Mp_{2n}$ : the generic case
by: Haan, Jaeho
Published: (2022)

An asymptotic local-global theorem on heights of some Kleinian group orbits
by: Xiao, Xuan Xuan, et al.
Published: (2024)

A Cauchy-Davenport theorem for locally compact groups
by: Jing, Yifan, et al.
Published: (2021)

An elementary formulation of Kubota's proof of Satz 4 about biquadratic number fields
by: Boulanger, Jacques, et al.
Published: (2024)

New proofs of two identities of Ramanujan
by: Morton, Patrick
Published: (2023)

The local converse theorem for odd special orthogonal and symplectic groups in positive characteristic
by: Jo, Yeongseong
Published: (2022)

Accessing non-abelian quotients of the Grothendieck-Teichmueller group via elementary tools
by: Bortnovskyi, Ivan, et al.
Published: (2024)

Kronecker second limit formula for real quadratic fields
by: Choie, YoungJu, et al.
Published: (2025)

An involutive perspective on Eisenstein's proof of quadratic reciprocity
by: Pain, Jean-Christophe
Published: (2026)

The local converse theorem for quasi-split $O_{2n}$ and $SO_{2n}$
by: Haan, Jaeho, et al.
Published: (2023)

The convergence Newton polygon of a $p$-adic differential equation V : local index theorems
by: Poineau, Jérôme, et al.
Published: (2013)