A multi-Frey approach to Fermat equations of signature $(r,r,p)$
Fuente:
arXiv
Saved in:
| Main Authors: | Billerey, Nicolas, Chen, Imin, Dieulefait, Luis, Freitas, Nuno |
|---|---|
| Format: | Preprint |
| Published: |
2017
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
On Darmon's program for the generalized Fermat equation, I
by: Billerey, Nicolas, et al.
Published: (2022)
by: Billerey, Nicolas, et al.
Published: (2022)
Revisiting the Fermat-type equation $x^{13} + y^{13} = 3z^7$
by: Billerey, Nicolas, et al.
Published: (2025)
by: Billerey, Nicolas, et al.
Published: (2025)
A note on conductors of Frey representations at $2$
by: Chen, Imin, et al.
Published: (2025)
by: Chen, Imin, et al.
Published: (2025)
On Darmon's program for the Generalized Fermat equation, II
by: Billerey, Nicolas, et al.
Published: (2023)
by: Billerey, Nicolas, et al.
Published: (2023)
On the generalized Fermat equation $x^{13} + y^{13} = z^n$
by: Best, Alex J., et al.
Published: (2025)
by: Best, Alex J., et al.
Published: (2025)
Solving Fermat-type equations over quadratic fields
by: Cakti, Begum Gulsah
Published: (2025)
by: Cakti, Begum Gulsah
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)
by: Sahoo, Satyabrat, et al.
Published: (2024)
On Fermat's Last Theorem over the $\mathbb{Z}_3$-extension of $\mathbb{Q}$ and other fields
by: Dieulefait, Luis, et al.
Published: (2025)
by: Dieulefait, Luis, et al.
Published: (2025)
Solving equations of signature $(p,p,2)$ with coefficients over number fields
by: Cakti, Begum Gulsah, et al.
Published: (2026)
by: Cakti, Begum Gulsah, et al.
Published: (2026)
A modular approach to Fermat equations of signature $(p,p,5)$ using Frey hyperelliptic curves
by: Chen, Imin, et al.
Published: (2022)
by: Chen, Imin, et al.
Published: (2022)
A survey on the generalized Fermat equation of various signatures over totally real fields
by: Sahoo, Satyabrat
Published: (2025)
by: Sahoo, Satyabrat
Published: (2025)
On the solutions of the generalized Fermat equation over totally real number fields
by: Sahoo, Satyabrat
Published: (2024)
by: Sahoo, Satyabrat
Published: (2024)
Hypergeometric motives and the generalized Fermat equation
by: Madriaga, Franco Golfieri, et al.
Published: (2024)
by: Madriaga, Franco Golfieri, et al.
Published: (2024)
Non-trivial Solutions of $Aa^p+Bb^p=Cc^3$ over Number Fields
by: Kara, Yasemin, et al.
Published: (2025)
by: Kara, Yasemin, et al.
Published: (2025)
Asymptotic Fermat's Last Theorem for a family of equations of signature $(2, 2n, n)$
by: García, Pedro-José Cazorla
Published: (2024)
by: García, Pedro-José Cazorla
Published: (2024)
Non-trivial Integer Solutions of $x^r+y^r=Dz^p$
by: Kara, Yasemin, et al.
Published: (2024)
by: Kara, Yasemin, et al.
Published: (2024)
The modular approach to Diophantine equations over totally real fields
by: Khawaja, Maleeha, et al.
Published: (2024)
by: Khawaja, Maleeha, et al.
Published: (2024)
Improved bounds for Serre's open image theorem
by: Chen, Imin, et al.
Published: (2024)
by: Chen, Imin, 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)
by: Kumar, Narasimha, et al.
Published: (2023)
On 7-adic Galois representations for elliptic curves over $\mathbb{Q}$
by: Furio, Lorenzo, et al.
Published: (2025)
by: Furio, Lorenzo, et al.
Published: (2025)
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)
by: Kumar, Narasimha, et al.
Published: (2022)
The generalized Fermat equation $Ax^2 + By^r = Cz^p$ and applications
by: García, Pedro-José Cazorla, et al.
Published: (2026)
by: García, Pedro-José Cazorla, et al.
Published: (2026)
On endomorphism algebras of $\text{GL}_2$-type abelian varieties and Diophantine applications
by: Madriaga, Franco Golfieri, et al.
Published: (2022)
by: Madriaga, Franco Golfieri, et al.
Published: (2022)
The Smallest Invariant Factor of Elliptic Curves, and Coincidences
by: Milner, Alexander, et al.
Published: (2026)
by: Milner, Alexander, et al.
Published: (2026)
Darmon's Program: A survey
by: Chen, Imin, et al.
Published: (2025)
by: Chen, Imin, et al.
Published: (2025)
Conductor exponents for families of hyperelliptic curves
by: Azon, Martin, et al.
Published: (2024)
by: Azon, Martin, et al.
Published: (2024)
Comparing Galois representations in the residually reducible case
by: Freitas, Nuno, et al.
Published: (2025)
by: Freitas, Nuno, et al.
Published: (2025)
Partial weight one modularity for Galois representations associated to mod $p$ Hilbert modular forms
by: Wiersema, Hanneke
Published: (2026)
by: Wiersema, Hanneke
Published: (2026)
On the computation of base-change lifts and lifts of Hida families
by: Blanco-Chacón, Iván, et al.
Published: (2026)
by: Blanco-Chacón, Iván, et al.
Published: (2026)
The possible adelic indices for elliptic curves admitting a rational cyclic isogeny
by: Finnerty, Kate, et al.
Published: (2025)
by: Finnerty, Kate, et al.
Published: (2025)
Serre's constant of elliptic curves over the rationals
by: Daniels, Harris B., et al.
Published: (2018)
by: Daniels, Harris B., et al.
Published: (2018)
Level one automorphic representations of an anisotropic exceptional group over $\mathbb{Q}$ of type $\mathrm{F}_{4}$
by: Shan, Yi
Published: (2024)
by: Shan, Yi
Published: (2024)
Effective open image theorem and a Linnik type problem for elliptic curves
by: Wang, Tian, et al.
Published: (2025)
by: Wang, Tian, et al.
Published: (2025)
On the conductor of a family of Frey hyperelliptic curves
by: García, Pedro-José Cazorla, et al.
Published: (2025)
by: García, Pedro-José Cazorla, et al.
Published: (2025)
Explicit p-adic Hodge theory for elliptic curves and non-split Cartan images
by: Bisatt, Matthew, et al.
Published: (2026)
by: Bisatt, Matthew, et al.
Published: (2026)
Kolyvagin systems of rank 0 and the structure of the Selmer group of elliptic curves over abelian extensions
by: Angurel, Alberto
Published: (2025)
by: Angurel, Alberto
Published: (2025)
Serre's uniformity question and proper subgroups of $C_{ns}^+(p)$
by: Furio, Lorenzo, et al.
Published: (2023)
by: Furio, Lorenzo, et al.
Published: (2023)
On Galois representations associated to mod $p$ Hilbert modular forms
by: Diamond, Fred, et al.
Published: (2025)
by: Diamond, Fred, et al.
Published: (2025)
Unramifiedness of weight one Hilbert Hecke algebras
by: Deo, Shaunak V., et al.
Published: (2019)
by: Deo, Shaunak V., et al.
Published: (2019)
Arithmetic statistics for Galois deformation rings
by: Ray, Anwesh, et al.
Published: (2021)
by: Ray, Anwesh, et al.
Published: (2021)
Similar Items
-
On Darmon's program for the generalized Fermat equation, I
by: Billerey, Nicolas, et al.
Published: (2022) -
Revisiting the Fermat-type equation $x^{13} + y^{13} = 3z^7$
by: Billerey, Nicolas, et al.
Published: (2025) -
A note on conductors of Frey representations at $2$
by: Chen, Imin, et al.
Published: (2025) -
On Darmon's program for the Generalized Fermat equation, II
by: Billerey, Nicolas, et al.
Published: (2023) -
On the generalized Fermat equation $x^{13} + y^{13} = z^n$
by: Best, Alex J., et al.
Published: (2025)