:: Library Catalog

Cover Image

Saved in:

Bibliographic Details
Main Authors:	Billerey, Nicolas, Chen, Imin, Dieulefait, Luis, Freitas, Nuno
Format:	Preprint
Published:	2022
Subjects:	Number Theory 11D41
Online Access:	https://arxiv.org/abs/2205.15861
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On Darmon's program for the Generalized Fermat equation, II
by: Billerey, Nicolas, et al.
Published: (2023)

A multi-Frey approach to Fermat equations of signature $(r,r,p)$
by: Billerey, Nicolas, et al.
Published: (2017)

Revisiting the Fermat-type equation $x^{13} + y^{13} = 3z^7$
by: Billerey, Nicolas, et al.
Published: (2025)

Darmon's Program: A survey
by: Chen, Imin, et al.
Published: (2025)

A modular approach to Fermat equations of signature $(p,p,5)$ using Frey hyperelliptic curves
by: Chen, Imin, et al.
Published: (2022)

On Fermat's Last Theorem over the $\mathbb{Z}_3$-extension of $\mathbb{Q}$ and other fields
by: Dieulefait, Luis, et al.
Published: (2025)

On the generalized Fermat equation $x^{13} + y^{13} = z^n$
by: Best, Alex J., et al.
Published: (2025)

Generalised Fermat equation: a survey of solved cases
by: Ratcliffe, Ashleigh, et al.
Published: (2024)

Hypergeometric motives and the generalized Fermat equation
by: Madriaga, Franco Golfieri, et al.
Published: (2024)

Fermat descent
by: Arango-Piñeros, Santiago
Published: (2025)

The generalized Fermat equation $Ax^2 + By^r = Cz^p$ and applications
by: García, Pedro-José Cazorla, et al.
Published: (2026)

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

A note on conductors of Frey representations at $2$
by: Chen, Imin, et al.
Published: (2025)

Fermat-Catalan and Tijdeman-Zagier conjectures for products
by: Sikora, Adam S.
Published: (2024)

Solving Fermat-type equations over quadratic fields
by: Cakti, Begum Gulsah
Published: (2025)

Asymptotic Fermat's Last Theorem for a family of equations of signature $(2, 2n, n)$
by: García, Pedro-José Cazorla
Published: (2024)

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

Generalised Fermat equations in dense variables over finite fields and rings
by: Chow, Sam, et al.
Published: (2025)

The sufficient conditions for insolvability of some Diophantine equations of $n$-th degree
by: Samsonadze, Eteri
Published: (2025)

Solution of the Diophantine equation $x^2 + p^k=y^n$
by: Ghosh, Arkabrata
Published: (2024)

Generalized fruit Diophantine equation and super elliptic curves
by: Banerjee, Kalyan, et al.
Published: (2026)

The modular approach to Diophantine equations over totally real fields
by: Khawaja, Maleeha, et al.
Published: (2024)

On the complete solutions of a generalized Lebesgue-Ramanujan-Nagell equation
by: Chakraborty, Kalyan, et al.
Published: (2021)

The diophantine equation $\left(2^{k}-1\right)\left(3^{k}-1\right)=x^{n}$
by: He, Bo, et al.
Published: (2025)

Structure and paucity in affine diagonal systems, I
by: Brandes, Julia, et al.
Published: (2026)

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)

The integral Hasse principle for stacky curves associated to a family of generalized Fermat equations
by: Duque-Rosero, Juanita, et al.
Published: (2025)

A comment on the equation $n!!=a_1!!\cdots a_t!!$
by: Novaković, Saša
Published: (2026)

Complete solutions of a Lebesgue-Ramanujan-Nagell type equation
by: Baruah, Priyanka, et al.
Published: (2021)

An Exponential Diophantine equation $x^2+3^α 113^β=y^{\mathfrak{n}}$
by: Muthuvel, S., et al.
Published: (2024)

Counting rational points on smooth hypersurfaces with high degree
by: Verzobio, Matteo
Published: (2025)

On a generalization of the Brocard--Ramanujan Diophantine equation
by: Novaković, Saša
Published: (2026)

Diophantine equations involving powers of factorials
by: Novaković, Saša
Published: (2025)

Diophantine equations involving double factorials
by: Novaković, Saša
Published: (2025)

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

Handling some Diophantine equation via Euclidean algorithm and its application to purely exponential equations
by: Miyazaki, Takafumi, et al.
Published: (2026)

Some Diophantine equations involving arithmetic functions and Bhargava factorials
by: Baczkowski, Daniel M., et al.
Published: (2024)

Effective Darmon's program for the generalised Fermat equation
by: Azon, Martin
Published: (2025)

Bounds on the exceptional set in the $abc$ conjecture
by: Bernert, Christian, et al.
Published: (2024)

On endomorphism algebras of $\text{GL}_2$-type abelian varieties and Diophantine applications
by: Madriaga, Franco Golfieri, et al.
Published: (2022)