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math.NT2026
On the -adic Littlewood conjecture in odd characteristics
Li Lai, Johannes Sprang
The -adic Littlewood conjecture is a function field analogue of the famous -adic Littlewood conjecture in Diophantine approximation. In this paper, we prove that the $P(t)…
math.NT2026
-adic -functions for Hecke characters of totally imaginary fields
Guido Kings, Johannes Sprang
We construct -adic -functions interpolating critical -values of algebraic Hecke characters for arbitrary unramified primes and any totally imaginary field. For non-ord…