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math.NT2025
Multi-variable admissible distributions
Kengo Fukunaga, Tadashi Ochiai
The theory of admissible distributions over a weight-space of one-variable was studied by Amice--Vélu and played important roles in the cyclotomic Iwasawa theory of non-ordinary p-…
math.NT2025
Kato explicit reciprocity law for Siegel modular forms of weight
Francesco Lemma, Tadashi Ochiai
We extend Kato explicit reciprocity law, in the version written by Scholl, for a modular curve to a product of two modular curves. By embedding the product of two modular curves in…