Cover Image

Generalized Fruit Diophantine equation over number fields

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Sahoo, Satyabrat, Laishram, Shanta
Format:	Preprint
Published:	2024
Subjects:	Number Theory Primary 11D72, Secondary 11G05, 14H52
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the solutions of the generalized Fermat equation over totally real number fields
by: Sahoo, Satyabrat
Published: (2024)

Exponent-one blockers and a Mordell-Weil construction of Euler bricks
by: Peschmann, René
Published: (2026)

Stability of torsion subgroups of elliptic curves over non-Galois extensions of odd prime degree
by: Im, Bo-Hae, et al.
Published: (2025)

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)

A torsion-intersection proof of perfect-cuboid nonexistence on 1,072 explicit master-tuple fibers
by: Peschmann, René
Published: (2026)

Near coincidences and nilpotent division fields
by: Daniels, Harris, et al.
Published: (2024)

The Hasse principle for diagonal forms restricted to a hypersurface of adjacent degree
by: Johansson, Anna Theorin
Published: (2026)

$\ell$-adic images of Galois for elliptic curves over $\mathbb{Q}$
by: Rouse, Jeremy, et al.
Published: (2021)

Intersecting the torsion of elliptic curves
by: Garcia-Fritz, Natalia, et al.
Published: (2023)

A graph-theoretic approach to computing Selmer groups of elliptic curves $y^2 = x^3 + bx$ over $\mathbb{Q}(i)$
by: Kling, Anthony, et al.
Published: (2024)

Elliptic curves over a finite field with a specified subgroup and the trace formula
by: Katsuoka, Tadahiro
Published: (2024)

Rank growth of abelian varieties over certain finite Galois extensions
by: Choi, Seokhyun, et al.
Published: (2024)

Models of CM elliptic curves with a prescribed $\ell$-adic Galois image
by: González-Jiménez, Enrique, et al.
Published: (2024)

Arithmetic intersections on non-split Cartan modular curves
by: Love, Jonathan, et al.
Published: (2026)

On 2-Selmer groups of twists after quadratic extension
by: Morgan, Adam, et al.
Published: (2020)

The Failure of Galois Descent for p-Selmer Groups of Elliptic Curves
by: Paterson, Ross
Published: (2021)

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)

Rational lines on cubic hypersurfaces II
by: Brandes, Julia, et al.
Published: (2023)

Bianchi's elliptic quintic curves and several modular function fields of level ten
by: Kaneko, Masanobu, et al.
Published: (2025)

The Diophantine equation $P(x)=\overset{r}{\underset{i=1}{\prod}}H_{n_i}$
by: Novaković, Saša
Published: (2026)

On the torsion growth in quadratic number fields for elliptic curves defined over the rationals
by: Arias-de-Reyna, Sara, et al.
Published: (2025)

Explicit lower bounds on the conductors of elliptic curves and abelian varieties over number fields
by: Pierre, Tchamitchian
Published: (2024)

On a group of normalized solutions of the higher-dimensional Prouhet--Tarry--Escott problem
by: Inagaki, Munenori, et al.
Published: (2025)

On the squareness of the discriminant of elliptic curves with an isogeny
by: González-Jiménez, Enrique
Published: (2026)

A survey on the generalized Fermat equation of various signatures over totally real fields
by: Sahoo, Satyabrat
Published: (2025)

Perfect codes over non-prime power alphabets: an approach based on Diophantine equations
by: García, Pedro-José Cazorla
Published: (2024)

On equations $(-1)^αp^x+(-1)^β(2^k(2p+1))^y=z^2$ with Sophie Germain prime $p$
by: Li, Yuan, et al.
Published: (2022)

Squares in arithmetic progression over quadratic extensions of number fields
by: González-Jiménez, Enrique
Published: (2026)

Partitions into Triples with Equal Products and Families of Elliptic Curves
by: Youmbai, Ahmed El Amine, et al.
Published: (2024)

Intrinsic Subgroups and the $\ell$-adic Galois image
by: Greene, Jacob
Published: (2026)

Refinements on vertical Sato-Tate
by: Ma, Zhao Yu
Published: (2023)

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

A Diophantine Criterion for the Shafarevich-Tate Groups of Elliptic Curves from Heron Triangles
by: Ghale, Vinodkumar
Published: (2023)

The image of the adelic Galois representation of an elliptic curve with complex multiplication
by: Lozano-Robledo, Álvaro, et al.
Published: (2026)

Points of bounded height on quintic del Pezzo surfaces over number fields
by: Bernert, Christian, et al.
Published: (2024)

Integral points of bounded height on quintic del Pezzo surfaces over number fields
by: Bernert, Christian, et al.
Published: (2025)

Existence and non-existence of rational elliptic curves with prescribed torsion subgroups over quadratic fields
by: Avci, Omer
Published: (2026)

Average analytic ranks of elliptic curves over number fields
by: Phillips, Tristan
Published: (2022)

Minimal Subgroups of ${\rm GL}_2(\mathbb{Z}_{S})$
by: Daniels, Harris, et al.
Published: (2024)

$f$-Diophantine sets over finite fields via quasi-random hypergraphs from multivariate polynomials
by: Kim, Seoyoung, et al.
Published: (2025)