Cover Image

Higher Order Dualities between Prime Ideals

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Sengupta, Sroyon
Format:	Preprint
Published:	2025
Subjects:	Number Theory 11R04, 11R44, 11R45, 11R47
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

The least prime with a given cycle type
by: Cho, Peter J., et al.
Published: (2025)

On the number of prime numbers between $n^2$ and ${(n+1)}^2$
by: Li, Jimin, et al.
Published: (2024)

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

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

The Density of Borromean Primes
by: Ishida, Yuki, et al.
Published: (2024)

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

Unconditional results for Artin-type problems over number fields
by: Sgobba, Pietro
Published: (2025)

Number Theory in OSCAR
by: Fieker, Claus, 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)

The distribution of the multiplicative index of algebraic numbers over residue classes
by: Moree, Pieter, et al.
Published: (2023)

Absolutely Abelian Hilbert Class Fields and $\ell-$torsion conjecture
by: Ram, Mahesh Kumar, et al.
Published: (2025)

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

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

Diophantine approximation with prime denominator in quadratic number fields under GRH
by: Baier, Stephan, et al.
Published: (2023)

On counting totally imaginary number fields
by: Raghuram, A., et al.
Published: (2024)

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

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

Hecke reciprocity and class groups
by: Shnidman, Ari, et al.
Published: (2025)

The second moment of the size of the $2$-class group of monogenized cubic fields
by: Bhargava, Manjul, et al.
Published: (2025)

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

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

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

Explicit Prime Densities for the Rank of Appearance in Lucas Sequences
by: Da Conceição, Joaquim Cera
Published: (2026)

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

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)

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

An improved error term for counting $D_4$-quartic fields
by: McGown, Kevin J., et al.
Published: (2023)

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)

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

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

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

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

Divisibility of the Multiplicative Order Modulo Monic Irreducible Polynomials Over Finite Fields
by: Da Conceição, Joaquim Cera
Published: (2024)

Class group statistics for torsion fields generated by elliptic curves
by: Ray, Anwesh, et al.
Published: (2022)

On Malle's conjecture for the product of symmetric and nilpotent groups
by: Mishra, Hrishabh, et al.
Published: (2024)

Quadratic units and cubic fields
by: Breuer, Florian, et al.
Published: (2025)

A Division Algorithm for the Gaussian Integers' Minimal Euclidean Function
by: Graves, Hester
Published: (2025)