Cover Image

Prime Splitting and Common $N$-Index Divisors in Radical Extensions: Part $p=2$

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Scofield, Dylan, Smith, Hanson
Format:	Preprint
Published:	2025
Subjects:	Number Theory 11R04, 11R21, 11R27
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Prime Splitting and Common Index Divisors in Radical Extensions
by: Smith, Hanson
Published: (2024)

Iterates of Quadratics and Monogenicity
by: Smith, Hanson, et al.
Published: (2024)

On common index divisors and monogenity of certain number fields defined by trinomials of type $x^{2^r}+ax^m+b$
by: Yakkou, Hamid Ben
Published: (2022)

Critical Point Criteria and Dynamically Monogenic Polynomials
by: König, Joachim, et al.
Published: (2024)

On integral bases and monogenity of pure octic number fields with non-square free parameters
by: Fadil, Lhoussain El, et al.
Published: (2022)

The minimal periodicity for integral bases of pure number fields
by: Nguyen-Dang, Khai-Hoan
Published: (2025)

On the monogenity of quartic number fields defined by $x^4+ax^2+b$
by: Fadil, Lhoussain El, et al.
Published: (2022)

Higher Order Dualities between Prime Ideals
by: Sengupta, Sroyon
Published: (2025)

Integers for Simple Radical Extensions
by: Kraemer, Julius
Published: (2025)

The index of the septic number field defined by $x^7+ax^5+b$
by: Yakkou, Hamid Ben
Published: (2022)

Pólya-Ostrowski Group and Unit Index in Real Biquadratic Fields
by: Al-Jabbari, Huda Naeem Hleeb, et al.
Published: (2021)

On characterization of Monogenic number fields associated with certain quadrinomials and its applications
by: Chatterjee, Tapas, et al.
Published: (2024)

On characterization of prime divisors of the index of a quadrinomial
by: Chatterjee, Tapas, et al.
Published: (2024)

On cohomology groups $ H^{1} $ of $ G-$modules of finite type over cyclic groups
by: Qiu, Derong
Published: (2015)

On indices and monogenity of quartic number fields defined by quadrinomials
by: Yakkou, Hamid Ben
Published: (2024)

On the monogenity of pure number fields: application to the existence of canonical number systems
by: Yakkou, Hamid Ben, et al.
Published: (2024)

Shapes of unit lattices in $D_p$-number fields
by: Harron, Robert, et al.
Published: (2025)

A subset generalization of the Erdős-Kac theorem over number fields with applications
by: Das, Sourabhashis, et al.
Published: (2025)

Additive structure of non-monogenic simplest cubic fields
by: Gil-Muñoz, Daniel, et al.
Published: (2022)

Iwasawa invariants and class number parity of multi-quadratic number fields
by: Li, Qinhao, et al.
Published: (2026)

On counterexamples to Mordell's Pellian Equation Conjecture and the AAC-Conjecture: a non-computer based approach
by: Reinhart, Andreas
Published: (2024)

A counterexample to the Conjecture of Ankeny, Artin and Chowla
by: Reinhart, Andreas
Published: (2024)

A counterexample to the Pellian equation conjecture of Mordell
by: Reinhart, Andreas
Published: (2024)

Simultaneous visibility in the algebraic lattice
by: Kumar, Rishi, et al.
Published: (2026)

Ring class fields and a result of Hasse
by: Evans, R., et al.
Published: (2024)

Linear relations of four conjugates of an algebraic number
by: Baronėnas, Ž., et al.
Published: (2025)

A formula of counting divisors in integers rings: a generalization of the divisor function $d_0(n)$
by: Martínez-Avelar, Ángel, et al.
Published: (2026)

A p-adic criterion for Lehmer's conjecture
by: Dixit, Anup B., et al.
Published: (2025)

Local certification of residual squareclasses in $\mathbb Q(\sqrt{2},\sqrt{pq},\sqrt{ps})$: one-bit, affine, and finite-choice Hilbert-symbol frameworks
by: Phuc, Dang Vo
Published: (2026)

Sizes of Pre-Images of the Minimal Euclidean Function on the Gaussian Integers
by: Graves, Hester
Published: (2026)

Ideal class groups of some quadratic number fields and factorization of values of some quadratic polynomials
by: Louboutin, Stéphane
Published: (2025)

On the Equality of Three Formulas for Brumer--Stark Units
by: Dasgupta, Samit, et al.
Published: (2022)

On the Root of Unity Ambiguity in a Formula for the Brumer--Stark Units
by: Honnor, Matthew H. L.
Published: (2023)

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

Division quaternion algebras over some cyclotomic fields
by: Savin, Diana
Published: (2023)

Norm relations and computational problems in number fields
by: Biasse, Jean-François, et al.
Published: (2020)

Near-squares in binary recurrence sequences
by: Tzanakis, Nikos, et al.
Published: (2021)

Gaussian periods and Shanks' cubic polynomials. II
by: Aoki, Miho
Published: (2025)

On lattices generated by algebraic conjugates of prime degree
by: Fukshansky, Lenny, et al.
Published: (2025)

Small generators of abelian number fields
by: Widmer, Martin
Published: (2023)