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math.NT2024
New cases of Dwork's conjecture on asymptotic behaviors of solutions of -adic differential equations without solvability
Shun Ohkubo
One of the phenomena peculiar in the theory of -adic differential equations is that solutions of -adic differential equations defined on open discs may satisfy growth con…
math.NT2024
Duality for differential modules over complete non-archimedean valuation field of characteristic zero
Shun Ohkubo
Let be a complete non-archimedean valuation field of characteristic , with non-trivial valuation, equipped with (possibly multiple) commuting bounded derivations. We prove a…