Cover Image

Using continued fractions with prescribed period for universal quadratic forms

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Mensikova, Veronika, Muchova, Helena
Format:	Preprint
Published:	2026
Subjects:	Number Theory 11A55, 11E12, 11R11
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Real quadratic fields with a universal quadratic form of given rank have density zero
by: Kala, Vitezslav, et al.
Published: (2023)

Universal quadratic forms and indecomposables in number fields: A survey
by: Kala, Vítězslav
Published: (2023)

Lifting problem for universal quadratic forms over totally real cubic number fields
by: Kim, Daejun, et al.
Published: (2023)

No proper generalized quadratic forms are universal over quadratic fields
by: Chwiedziuk, Ondřej, et al.
Published: (2024)

Most totally real fields do not have universal forms or Northcott property
by: Daans, Nicolas, et al.
Published: (2024)

Universal quadratic forms and Northcott property of infinite number fields
by: Daans, Nicolas, et al.
Published: (2023)

Non-universality of ternary quadratic forms over fields containing $\sqrt2$
by: Kramer, Kristyna, et al.
Published: (2026)

Sails for universal quadratic forms
by: Kala, Vítězslav, et al.
Published: (2024)

Reflection theorems of Ohno-Nakagawa type for quartic rings and pairs of $n$-ary quadratic forms
by: O'Dorney, Evan M.
Published: (2022)

The first and second moment for the length of the period of the continued fraction expansion for $\sqrt{d}$
by: Battistoni, Francesco, et al.
Published: (2024)

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

Binary quadratic forms: modern developments
by: Zeytin, Ayberk
Published: (2025)

Failures of integral Springer's Theorem
by: Daans, Nicolas, et al.
Published: (2024)

Representing rational integers by generalized quadratic forms over quadratic fields
by: Chwiedziuk, Ondřej, et al.
Published: (2024)

Kitaoka's Conjecture for quadratic fields
by: Kala, Vitezslav, et al.
Published: (2025)

Class number of real quadratic fields of explicit discriminant
by: Bernardini, Riccardo
Published: (2024)

Extending bounds on minimal ranks of universal quadratic lattices to larger number fields
by: Doležálek, Matěj
Published: (2025)

Class fields and form class groups for solving certain quadratic Diophantine equations
by: Jung, Ho Yun, et al.
Published: (2023)

On some periodic continued fractions along the $\mathbb{Z}_2$ extension over $\mathbb{Q}$
by: Kanamura, Yoshinori, et al.
Published: (2025)

Upper bounds on class numbers of real quadratic fields
by: Bernardini, Riccardo
Published: (2025)

Totally positive elements with $m$ partitions exist in almost all real quadratic fields
by: Zindulka, Mikuláš
Published: (2024)

A parametrization of $3$-class groups of quadratic rings over Dedekind domains
by: Hodges, Eliot, et al.
Published: (2025)

Gauss's form class groups and Shimura's canonical models
by: Koo, Ja Kyung, et al.
Published: (2023)

Universal quadratic forms and Dedekind zeta functions
by: Kala, Vítězslav, et al.
Published: (2023)

Full Galois groups of polynomials with slowly growing coefficients
by: Bary-Soroker, Lior, et al.
Published: (2024)

Cubic residuacity of real quadratic integers
by: Evans, Ron, et al.
Published: (2025)

Universality lifting from a general base field
by: Kala, Vitezslav, et al.
Published: (2024)

Zeta functions enumerating subforms of quadratic forms
by: Kim, Daejun, et al.
Published: (2024)

Permutation Rational Functions over Quadratic Extensions of Finite Fields
by: Chen, Ruikai, et al.
Published: (2023)

Hopf-Galois module structure of monogenic orders in cubic number fields
by: Gil-Muñoz, Daniel
Published: (2025)

On elements of prescribed norm in maximal orders of a quaternion algebra
by: Goren, Eyal Z., et al.
Published: (2023)

Generalizing Hurwitz's quaternionic proof of Lagrange's and Jacobi's four-square theorems
by: Doležálek, Matěj
Published: (2024)

A note on the second supplementary law of rational power residue symbols
by: Hirakawa, Yoshinosuke, et al.
Published: (2025)

Periodicity of general multidimensional continued fractions using repetend matrix form
by: Řada, Hanka, et al.
Published: (2023)

Efficient enumeration of quadratic lattices
by: Assaf, Eran, et al.
Published: (2026)

Even better sums of squares over quintic and cyclotomic fields
by: Kala, Vítězslav, et al.
Published: (2024)

Class numbers of binary quadratic polynomials
by: Yang, Zichen
Published: (2024)

Asymptotics of $n$-universal lattices over number fields
by: Park, Dayoon, et al.
Published: (2025)

Geometry-of-numbers methods in the cusp
by: Shankar, Arul, et al.
Published: (2021)

Dembowski-Ostrom polynomials and Dickson polynomials
by: Hasan, Sartaj Ul, et al.
Published: (2019)