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math.NT2025
The inter-universal Teichmüller theory and new Diophantine results over rational numbers. II
Zhong-Peng Zhou
[This is an older version of the paper, which will be updated soon.] In the present paper, we continue our research on the generalized Fermat equation with signat…
math.NT2025
The inter-universal Teichmüller theory and new Diophantine results over the rational numbers. I
Zhong-Peng Zhou
By applying inter-universal Teichmüller theory and its slight modification over the rational number field, we prove new Diophantine results towards effective abc inequalities and t…