A multi-Frey approach to Fermat equations of signature $(r,r,p)$ (Q5380508)

scientific article; zbMATH DE number 7062722

Language	Label	Description	Also known as
English	A multi-Frey approach to Fermat equations of signature $(r,r,p)$	scientific article; zbMATH DE number 7062722

Statements

instance of

scholarly article

0 references

title

A multi-Frey approach to Fermat equations of signature $(r,r,p)$ (English)

0 references

0 references

0 references

0 references

0 references

Transactions of the American Mathematical Society

0 references

publication date

5 June 2019

0 references

full work available at URL

https://arxiv.org/abs/1703.06530

0 references

zbMATH Keywords

Fermat equations

0 references

modular method

0 references

multi-Frey modular method

0 references

Generalized Fermat Equation

0 references

describes a project that uses

0 references

0 references

0 references

MaRDI publication profile

0 references

cites work

On the equation a3+ b3n= c2

0 references

Ternary Diophantine Equations via Galois Representations and Modular Forms

0 references

Ternary Diophantine equations of signature (p, p, 3)

0 references

Équations de Fermat de type (5, 5,p)

0 references

Solving Fermat-type equations $x^5+y^5=dz^p$

0 references

The Magma algebra system. I: The user language

0 references

SUR QUELQUES REPRÉSENTATIONS MODULAIRES ET $p$-ADIQUES DE $\mathrm{GL}_2(\bm{Q}_{p})$. II

0 references

Modular multiplicities and representations of $\text{GL}_2(\mathbb Z_p)$ and $\text{Gal}(\overline{\mathbb Q}_p/\mathbb Q_p)$ at $\ell=p$

0 references

A criterion to rule out torsion groups for elliptic curves over number fields

0 references

Almost powers in the Lucas sequence

0 references

Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers

0 references

Classical and modular approaches to exponential Diophantine equations II. The Lebesgue–Nagell equation

0 references

A Multi-Frey Approach to Some Multi-Parameter Families of Diophantine Equations

0 references

Hecke and Sturm bounds for Hilbert modular forms over real quadratic fields

0 references

Q4341641

0 references

A REFINED MODULAR APPROACH TO THE DIOPHANTINE EQUATION x2 + y2n = z3

0 references

Perfect powers expressible as sums of two fifth or seventh powers

0 references

On the Equations zm = F (x, y ) and Axp + Byq = Czr

0 references

Q4366731

0 references

Torsion points on elliptic curves over number fields of small degree

0 references

Fermat-type equations of signature $(13,13,p)$ via Hilbert cuspforms

0 references

The Fermat-type equations $x^5 + y^5 = 2z^p$ or $3z^p$ solved through $\mathbb {Q}$-curves

0 references

Galois representations attached to Q-curves and the generalized Fermat equation A 4 + B 2 = C p

0 references

Recipes to Fermat-type equations of the form $x^r + y^r =Cz^p$

0 references

Elliptic curves over real quadratic fields are modular

0 references

Criteria for irreducibility of mod $p$ representations of Frey curves

0 references

Fermat's last theorem over some small real quadratic fields

0 references

Level lowering for modular $\text{mod }\ell$ representations over totally real fields

0 references

Correspondences on Shimura curves and Mazur's principle at $p$

0 references

Semi-stable elliptic curves and quadratic fields

0 references

Majorations Effectives Pour L’ Équation de Fermat Généralisée

0 references

Sur l'équation a3+ b3= cp

0 references

On a question of B. Mazur

0 references

On Néron's classification of elliptic curves of residue characteristics 2 and 3

0 references

On the levels of mod l Hilbert modular forms

0 references

On the equation $a^p + 2^α b^p + c^p = 0$

0 references

Galois properties of points of finite order of elliptic curves

0 references

On the modular representations of degree two of $\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})$

0 references

Modular elliptic curves and Fermat's Last Theorem

0 references

Identifiers

zbMATH Open document ID

1446.11052

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5380508