Imagen de Portada

Arithmetic Aspects of Number Fields Generated by Polynomial Families

Fuente: arXiv

Guardado en:

Detalles Bibliográficos
Autores principales:	Barman, Rupam, Jakhar, Anuj, Kalwaniya, Ravi, Yadav, Prabhakar
Formato:	Preprint
Publicado:	2026
Materias:	Number Theory 11R04, 11R29, 11Y40
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

Ejemplares similares

Monogenic Fields from Polynomial Compositions with Applications
por: Jakhar, Anuj, et al.
Publicado: (2026)

A Study of monogenity of Binomial Composition
por: Jakhar, Anuj, et al.
Publicado: (2024)

A Deterministic Cryptographic Prime Generation Chain over Monogenic Cubic Number Fields and their Generalizations
por: Jakhar, Anuj, et al.
Publicado: (2026)

Class numbers of Imaginary bicyclic biquadratic number fields
por: Jakhar, Anuj, et al.
Publicado: (2025)

Breaking the 4 barrier for the bound of a generating set of the class group
por: Grenié, Loïc, et al.
Publicado: (2022)

Number Theory in OSCAR
por: Fieker, Claus, et al.
Publicado: (2024)

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

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

Generalized Pohst inequality and small regulators
por: Battistoni, Francesco, et al.
Publicado: (2022)

On Salem numbers which are exceptional units II
por: Zaimi, Toufik
Publicado: (2024)

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

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

On the distribution of shapes of octic Kummer extensions
por: Jakhar, Anuj, et al.
Publicado: (2026)

On the distribution of shapes of totally real multiquadratic number fields
por: Jakhar, Anuj, et al.
Publicado: (2026)

Unit-generated orders of real quadratic fields I. Class number bounds
por: Kopp, Gene S., et al.
Publicado: (2025)

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

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

The determination of norm-Euclidean cyclic cubic fields
por: Bagger, Gustav Kjærbye, et al.
Publicado: (2025)

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

Quadratic units and cubic fields
por: Breuer, Florian, et al.
Publicado: (2025)

Certifying rings of integers in number fields
por: Baanen, Anne, et al.
Publicado: (2024)

Computational data on ${\mathfrak S}_n$-extensions of $\mathbb Q$
por: Malle, Gunter
Publicado: (2024)

Well-Rounded Twists of the Ring of Integers in Cyclic Cubic Fields
por: Le, Nam H., et al.
Publicado: (2025)

A Refinement of Pohst's Inequality
por: Raposo, Gabriel
Publicado: (2022)

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

Dirichlet's Lemma in Number Fields
por: Lemmermeyer, Franz
Publicado: (2025)

Explicit Approximations to Class Field Towers
por: Bleher, Frauke M., et al.
Publicado: (2023)

Number Fields With Large Pólya Groups
por: Akbary, Amir, et al.
Publicado: (2025)

Small generators of abelian number fields
por: Widmer, Martin
Publicado: (2023)

Explicit upper bounds on the average of Euler-Kronecker constants of narrow ray class fields
por: Kandhil, Neelam, et al.
Publicado: (2024)

On the monogenity of totally complex pure octic fields
por: Gaál, István
Publicado: (2024)

On the distribution of shapes of sextic pure number fields
por: Jakhar, Anuj, et al.
Publicado: (2026)

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

Visual Aspects of Gaussian Periods and Analogues
por: Platt, Samantha
Publicado: (2023)

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

On Lenstra's criterion for norm-Euclideanity of number fields and properties of Dedekind zeta-functions
por: Pertile, Jordan, et al.
Publicado: (2024)

Pisot unit generators in number fields
por: Vávra, Tomáš, et al.
Publicado: (2015)

On $ p-$Rationality of Cubic and Quartic Number Fields
por: Li, Hang, et al.
Publicado: (2023)

Discriminants and Large Pólya Groups in Septic Number Fields
por: Mahapatra, Nimish Kumar
Publicado: (2025)

Relative class numbers and Euler-Kronecker constants of maximal real cyclotomic subfields
por: Kandhil, Neelam, et al.
Publicado: (2024)