Cover Image

Strong $n$-conjectures over rings of integers

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Hölzl, Rupert, Kleine, Sören, Stephan, Frank
Format:	Preprint
Published:	2025
Subjects:	Number Theory 11D04, 11D72, 11R11, 11R52
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Improved lower bounds for strong $n$-conjectures
by: Hölzl, Rupert, et al.
Published: (2024)

On the representation of an integer in Ostrowski and recurrence numeration systems
by: Mittal, Mohit, et al.
Published: (2024)

The spinor type number formula for totally definite quaternion orders
by: Lin, Yucui, et al.
Published: (2026)

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

On a Variant of Pillai's problem involving convergent denominators of quadratic irrationals
by: Mittal, Mohit
Published: (2025)

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

A characterization of the distances between Pisot numbers generating the same number field
by: Bertin, M. J., et al.
Published: (2025)

First-order definability of affine Campana points in the projective line over a number field
by: De Rasis, Juan Pablo
Published: (2024)

Monogenity and Power Integral Bases: Recent Developments
by: Gaál, István
Published: (2024)

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)

On the solutions of $x^p+y^p=2^r z^p$, $x^p+y^p=z^2$ over totally real fields
by: Kumar, Narasimha, et al.
Published: (2022)

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

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

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)

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

On the distances between Pisot numbers generating the same number field
by: Zaimi, Toufik
Published: (2024)

Galois module structure of algebraic integers of cyclic cubic fields
by: Aoki, Miho
Published: (2024)

Asymptotic solutions of the generalized Fermat-type equation of signature $(p,p,3)$ over totally real number fields
by: Sahoo, Satyabrat, et al.
Published: (2024)

On the solutions of $x^2= By^p+Cz^p$ and $2x^2= By^p+Cz^p$ over totally real fields
by: Kumar, Narasimha, et al.
Published: (2023)

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

Rational integers as sums of units -- the quadratic case
by: Frei, Christopher, et al.
Published: (2026)

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

Diophantine $D(n)$-quadruples in $\mathbb{Z}[\sqrt{4k + 2}]$
by: Chakraborty, Kalyan, et al.
Published: (2023)

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)

Polynomial densities and Heilbronn's criterion
by: Hibbler, Alexis, et al.
Published: (2025)

Non-norm criteria and optimal $2\times 2$ space-time block codes over rings of integers of imaginary quadratic fields
by: Alves, Carina, et al.
Published: (2019)

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

The abc conjecture implies infinitely many non-Wieferich places for fixed bases in number fields
by: Graves, Hester, et al.
Published: (2025)

On the number of representations of integers as differences between Piatetski-Shapiro numbers
by: Yoshida, Yuuya
Published: (2021)

The exceptional set in the abc conjecture
by: Bernert, Christian
Published: (2025)

A Ramanujan bound for Drinfeld modular forms
by: de Vries, Sjoerd
Published: (2024)

Galois module structure of algebraic integers of the simplest cubic field
by: Ogawa, Hajime, et al.
Published: (2023)

An upper bound for the size of the ideal class monoid
by: Cho, Sungmun, et al.
Published: (2025)

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

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

Prime Splitting and Common $N$-Index Divisors in Radical Extensions: Part $p=2$
by: Scofield, Dylan, et al.
Published: (2025)

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