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math.NT2025
Poor man's transcendence for Frobenius traces of elliptic curves
Florian Luca, Wadim Zudilin
Let be an elliptic curve without complex multiplication defined over . Viewing the sequence of its Frobenius traces indexed by primes as an element…
math.NT2025
Irrationality and transcendence questions in the "poor man's adèle ring"
Florian Luca, Wadim Zudilin
We discuss arithmetic questions related to the "poor man's adèle ring" whose elements are encoded by sequences indexed by prime numbers, with each view…