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math.NT2024
The modular approach to Diophantine equations over totally real fields
Maleeha Khawaja, Samir Siksek
Wiles' proof of Fermat's last theorem initiated a powerful new approach towards the resolution of certain Diophantine equations over . Numerous novel obstacles arise wh…
math.NT2024
A single source theorem for primitive points on curves
Maleeha Khawaja, Samir Siksek
Let be a curve defined over a number field and write for the genus of and for the Jacobian of . Let . We say that an algebraic point $P \in C(\overl…