Cover Image

On Lenstra's criterion for norm-Euclideanity of number fields and properties of Dedekind zeta-functions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Pertile, Jordan, Starichkova, Valeriia V.
Format:	Preprint
Published:	2024
Subjects:	Number Theory 11R04, 11H31, 11R42, 11Y35
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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)

Classification of totally real number fields via their zeta function, regulator, and log unit lattice
by: Cruz, José
Published: (2025)

An effective version of Chebotarev's density theorem
by: Das, Sourabhashis, et al.
Published: (2025)

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

On Salem numbers which are exceptional units II
by: Zaimi, Toufik
Published: (2024)

On the lowest zero of Dedekind zeta function
by: Kala, Sushant
Published: (2024)

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

Dedekind zeta functions of non-Galois torsion fields of elliptic curves
by: Pollack, Robert, et al.
Published: (2026)

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

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

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

Diophantine avoidance and small-height primitive elements in ideals of number fields
by: Fukshansky, Lenny, et al.
Published: (2023)

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

Explicit Euclidean division algorithms for some degree 8 number rings
by: Levrat, Christophe
Published: (2026)

Some series equivalent to the extended Riemann hypothesis for Dedekind zeta functions
by: Nguyen, Vincent
Published: (2025)

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

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

Arithmetic Aspects of Number Fields Generated by Polynomial Families
by: Barman, Rupam, et al.
Published: (2026)

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

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

Normal bases of small height in Galois number fields
by: Fukshansky, Lenny, et al.
Published: (2026)

New zero-free regions for Dedekind zeta-functions at small and large ordinates
by: Das, Sourabhashis, et al.
Published: (2025)

Constructions of lattices via biquadratic and triquadratic fields
by: Santos, L. F., et al.
Published: (2025)

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

Explicit conditional bounds for the residue of a Dedekind zeta-function at $s=1$
by: Garcia, Stephan Ramon, et al.
Published: (2025)

On Diophantine properties for values of Dedekind zeta functions
by: Caro, Jerson, et al.
Published: (2025)

Monogenity of pure quintic fields: the power of sieving
by: Gaál, István
Published: (2026)

Investigating monogenity in a family of cyclic sextic fields
by: Gaál, István
Published: (2025)

Power integral bases in a family of octic fields
by: Gaál, István
Published: (2025)

Calculating power integral bases in some quartic fields corresponding to monogenic families of polynomials
by: Gaál, István
Published: (2024)

Calculating generators of power integral bases in sextic fields with a real quadratic subfield
by: Gaál, István
Published: (2025)

Calculating generators of power integral bases in sextic fields with a quadratic subfield: the general case
by: Gaál, István
Published: (2025)

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

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

Universality criterion sets for quadratic forms over number fields
by: Kala, Vitezslav, et al.
Published: (2024)

An asymptotic on the logarithms of the relative class numbers of imaginary abelian number fields of prime conductor and large degree
by: Louboutin, Stéphane
Published: (2025)

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

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

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