Taiga Adachi

collaborators

3 papers

math.NT2026

Iwasawa invariants of sharp/flat $2$ -adic $L$ -functions for quadratic twists of elliptic curves

Taiga Adachi

The aim of this paper is to study the variation under quadratic twists of the analytic Iwasawa invariants of Sprung's sharp/flat 2-adic $L$ -functions for elliptic curves over $\mat…

math.NT2026

Distributions of Iwasawa $I^»$ -invariants of $Z_{p}$ -towers over supersingular isogeny graphs

Taiga Adachi, Kosuke Mizuno, Ryosuke Murooka +1

A graph-theoretic analogue of Iwasawa theory, initiated by Gonet and ValliÃ¨res, has attracted considerable interest in the study of Iwasawa invariants. On the other hand, for a pa…

math.NT2025

Iwasawa theory for weighted graphs

Taiga Adachi, Kosuke Mizuno, Sohei Tateno

Let $p$ be a prime number and let $d$ be a positive integer. In this paper, we generalize Iwasawa theory for graphs initiated by Gonet and ValliÃ¨res to weighted graphs. In particu…

Iwasawa invariants of sharp/flat 2-adic L-functions for quadratic twists of elliptic curves

Distributions of Iwasawa I^»-invariants of Zp​-towers over supersingular isogeny graphs

Iwasawa theory for weighted graphs

Iwasawa invariants of sharp/flat $2$ -adic $L$ -functions for quadratic twists of elliptic curves

Distributions of Iwasawa $I^»$ -invariants of $Z_{p}$ -towers over supersingular isogeny graphs