AN APPLICATION OF THE MODULAR METHOD AND THE SYMPLECTIC ARGUMENT TO A LEBESGUE–NAGELL EQUATION
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Publication:5112817
DOI10.1112/mtk.12018zbMath1473.11077arXiv1811.10118OpenAlexW2997333247WikidataQ126444286 ScholiaQ126444286MaRDI QIDQ5112817
Publication date: 8 June 2020
Published in: Mathematika (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.10118
Related Items (2)
Differences between perfect powers: The Lebesgue-Nagell equation ⋮ Differences between perfect powers: prime power gaps
Cites Work
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- On the Fermat-type equation \(x^3+y^3=z^p\)
- On Néron's classification of elliptic curves of residue characteristics 2 and 3
- Sums of two cubes as twisted perfect powers, revisited
- Twists of \(X(7)\) and primitive solutions to \(x^2+y^3=z^7\)
- On the Diophantine equation \(x^2 + p^{2k} = y^n\)
- Almost powers in the Lucas sequence
- Diophantine equations after Fermat's last theorem
- On the Diophantine equation \(x^2+5^m=y^n\)
- On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
- On the practical solution of the Thue equation
- Solving Thue equations of high degree
- On the failure of semistability of elliptic curves with additive reduction
- The diophantine equation \(x^ 2 + 2^ k = y^ n\)
- The diophantine equation \(x^2+5^{2k+1}= y^n\)
- On Cohn's conjecture concerning the Diophantine equation \(x^2+2^m=y^n\)
- On the diophantine equation \(x^ 2+2^ k=y^ n\)
- The Magma algebra system. I: The user language
- The diophantine equation \(x^2+3^m=y^n\)
- On modular representations of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\) arising from modular forms
- Modular elliptic curves and Fermat's Last Theorem
- Ring-theoretic properties of certain Hecke algebras
- Solutions of some generalized Ramanujan-Nagell equations
- An application of the symplectic argument to some Fermat-type equations
- On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
- Existence of primitive divisors of Lucas and Lehmer numbers
- Classical and modular approaches to exponential Diophantine equations II. The Lebesgue–Nagell equation
- A Multi-Frey Approach to Some Multi-Parameter Families of Diophantine Equations
- Diophantine eaquations of the form ax2 + Db2 = yp.
- The diophantine equation x² + C = yⁿ
- On the diophantine equation $x^2 - p^m = ±y^n$
- Ternary Diophantine Equations via Galois Representations and Modular Forms
- On the Diophantine equation x2+7=ym
- On an diophantine equation
- On The Greatest Prime Factor of ax m +by n , II
- The Solution of Triangularly Connected Decomposable Form Equations
- On the Equations zm = F (x, y ) and Axp + Byq = Czr
- On the diophantine equations x2 + 74 = y5 and x2 + 86 = y5
- On the symplectic type of isomorphisms of the 𝑝-torsion of elliptic curves
- The generalized Fermat equation with exponents 2, 3,
- ON THE DIOPHANTINE EQUATION x2 + 52k = yn
- Number Theory
- On a question of B. Mazur
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