On ternary Diophantine equations of signature(p,p,2)over number fields

DOI10.3906/mat-1911-88zbMath1478.11041arXiv2201.13270OpenAlexW3041805769MaRDI QIDQ4971480

Erman Işik, Ekin Ozman, Yasemin Kara

Publication date: 12 October 2020

Published in: Canadian Journal of Mathematics, TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.13270

zbMATH Keywords

Galois representationsmodularityFermat equationDiophantine equationsgeneralized Fermat equationmodular methodS-units

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Counting solutions of Diophantine equations (11D45) Modular and automorphic functions (11F03) Galois representations (11F80) Higher degree equations; Fermat's equation (11D41) Cohomology of arithmetic groups (11F75)

Related Items (5)

Asymptotic Fermat for signatures \((r,r,p)\) using the modular approach ⋮ Asymptotic Fermat for signatures (p,p,2)$(p,p,2)$ and (p,p,3)$(p,p,3)$ over totally real fields ⋮ Asymptotic Fermat for signature \((4, 2, p)\) over number fields ⋮ On the solutions of $x^p+y^p=2^rz^p$, $x^p+y^p=z^2$ over totally real fields ⋮ On ternary Diophantine equations of signature(p,p,2)over number fields

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