Majorations Effectives Pour L’ Équation de Fermat Généralisée
From MaRDI portal
Publication:4390893
DOI10.4153/CJM-1997-056-2zbMath0908.11017MaRDI QIDQ4390893
Publication date: 18 March 1999
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
elliptic curvesmodular representationparabolic formsupper bounds for the generalized Fermat equation
Related Items
VARIANTS OF ERDŐS–SELFRIDGE SUPERELLIPTIC CURVES AND THEIR RATIONAL POINTS ⋮ The equation \(x^{2n}+y^{2n}=z^5\) ⋮ Generalized Fermat equations: A miscellany ⋮ The asymptotic Fermat’s Last Theorem for five-sixths of real quadratic fields ⋮ Powers from products of terms in progressions with gaps ⋮ On power values of pyramidal numbers, II ⋮ Differences between perfect powers: prime power gaps ⋮ Klein forms and the generalized superelliptic equation ⋮ Rational points on Erdős–Selfridge superelliptic curves ⋮ Perfect powers generated by the twisted Fermat cubic ⋮ Reverse engineered Diophantine equations ⋮ Sums of two $S$-units via Frey-Hellegouarch curves ⋮ PERFECT POWERS THAT ARE SUMS OF CONSECUTIVE CUBES ⋮ A multi-Frey approach to Fermat equations of signature $(r,r,p)$ ⋮ Solving \(a x^p + b y^p = c z^p\) with \(abc\) containing an arbitrary number of prime factors ⋮ On some ternary Diophantine equations of signature \((p,p,k)\) ⋮ The Diophantine equation \((x^{k} - 1)(y^{k} - 1) = (z^{k} - 1)^{t}\) ⋮ INTEGERS REPRESENTED BY REVISITED ⋮ Cubic forms, powers of primes and classification of elliptic curves ⋮ Binomial Thue equations, ternary equations and power values of polynomials ⋮ Homogeneous forms of degree 3 and \(p\)-th powers ⋮ Almost fifth powers in arithmetic progression ⋮ On the integers represented by x4 − y4 ⋮ On the power values of power sums ⋮ ON A CLASS OF GENERALIZED FERMAT EQUATIONS ⋮ Perfect powers from products of consecutive terms in arithmetic progression ⋮ The Generalized Fermat Equation ⋮ Almost powers in the Lucas sequence ⋮ Explicit small image theorems for residual modular representations