On the sum of fourth powers in arithmetic progression

DOI10.1142/S1793042121500093zbMath1475.11051arXiv1907.12351MaRDI QIDQ5857380

Joey M. van Langen

Publication date: 1 April 2021

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.12351

zbMATH Keywords

Galois representationmodularityexponential equationFrey curve

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Galois representations (11F80) Exponential Diophantine equations (11D61) Higher degree equations; Fermat's equation (11D41)

Related Items (5)

\(\mathbb{Q}\)-curves and the Lebesgue-Nagell equation ⋮ Differences between perfect powers: prime power gaps ⋮ three_fourth_powers_code ⋮ The equation $(x-d)^5+x^5+(x+d)^5=y^n$ ⋮ Perfect powers in sum of three fifth powers

Uses Software

• Magma
• SageMath
• GitHub

Cites Work

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