Irregular primes—37 being the first such prime—have played a great role in number theory.
This article discusses Ken Ribet's construction—for all irregular primes $ p $—of specific …

In this paper, we study the Fitting ideals of Selmer groups over finite subextensions in the
cyclotomic-extension of of an elliptic curve over. Especially, we present a proof of the “weak …

Let κ ≥ 6 κ≥ 6 be an even integer, MM an odd square-free integer, and f ∈ S_ 2 κ-2 (Γ _0
(M)) f∈ S 2 κ-2 (Γ 0 (M)) a newform. We prove that under some reasonable assumptions that …

The following are extended notes of a lecture given by the author at the international
colloquium on L-functions and Automorphic Representation held at TIFR in january 2012 …

We deduce the cyclotomic Iwasawa main conjecture for Hilbert modular cusp forms with
complex multiplication from the multivariable main conjecture for CM number fields. To this …

The p-adic L-function for modular forms of integral weight is well-known. For certain weights
the p-adic L-function for modular forms of half-integral weight is also known to exist, via a …

This note shows how to use the framework of Euler characteristic formulae to study Selmer
groups of abelian varieties in certain dihedral or anticyclotomic extensions of CM fields via …

Let $\pi $ be a cuspidal automorphic representation of $\operatorname {GL} _2 $ over a
totally real number field $ F $. Let $ K $ be a totally imaginary quadratic extension of $ F …

The $p$-parts of Tate-Shafarevich groups of elliptic curves : Dedicated to Takeshi Tsuji (Algebraic
Number Theory and Related To Page 1 RIMS Kôkyûroku Bessatsu B32 (2012), 51−60 The p‐parts …

Integral Euler systems and Main Conjectures (Algebraic Number Theory and Related Topics
2015) Page 1 RIGHT: URL: CITATION: AUTHOR(S): ISSUE DATE: TITLE: Integral Euler …