25 citations · 46 across the 13 of their papers we have counts for
14 papers
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-…
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…
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…
A formal model of Coleman families and applications to Iwasawa invariants
Filippo Alberto Edoardo Nuccio Mortarino Majno Di Capriglio, Tadashi Ochiai, Jishnu Ray
For a given Coleman family of modular forms, we construct a formal modeland prove the existence of a family of Galois representations associated to the Colemanfamily. As an applica…
Control theorem and functional equation of Selmer groups over -adic Lie extensions
Somnath Jha, Tadashi Ochiai
Let us consider a -adic Lie extension of a number field which fits into the setting of non-commutative Iwasawa theory formulated by Coates-Fukaya-Kato-Sujatha-Venjakob. For…
Endoscopic congruences modulo adjoint -values for
Francesco Lemma, Tadashi Ochiai
We establish the existence of congruences between a fixed endoscopic cuspidal automorphic representation of of square-free conductor and stable cuspidal autom…