3 papers
math.NT2026
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
On the -adic -function and Iwasawa Main Conjecture for an Artin motive over a CM field
Takashi Hara, Tadashi Ochiai
For an algebraic Hecke character defined on a CM field of degree , Katz constructed a -adic -function of variables in his innovative paper published in…
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…