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abc conjecture 1adele ring 1arithmetic progressions 1fermat quotients 1finite logarithms 1irrationality 1

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math.NT2026

Irrationality of finite logarithms in a congruence-class adèle ring

Daniel Evans

The paper extends irrationality results for finite logarithms defined via Fermat quotients in a “poor man’s” adele ring to primes in arithmetic progressions, showing (assuming the…