Kazuto Ota

activity

20152026

most citedOn the quantitative variation of congruence ideals and integral periods of modular forms

3 citations · 5 across the 6 of their papers we have counts for

collaborators

6 papers

math.NT2026

Anticyclotomic Iwasawa theory of CM elliptic curves at ramified primes

Ashay Burungale, Shinichi Kobayashi, Kentaro Nakamura +1

We propose an integral framework for the anticyclotomic Iwasawa theory of CM elliptic curves $E$ at primes $p$ ramified in the CM field. The $ε$ -constants of the geometri…

math.NT2025

A local sign decomposition for symplectic self-dual Galois representations of rank two

Ashay Burungale, Shinichi Kobayashi, Kentaro Nakamura +1

We prove the existence of a new structure on the first Galois cohomology of generic families of symplectic self-dual $p$ -adic representations of $G_{Q_{p}}$ of rank two (a l…

math.NT2025

The $p$ -adic valuation of local resolvents, generalized Gauss sums and anticyclotomic Hecke $L$ -values of imaginary quadratic fields at inert primes

Ashay Burungale, Shinichi Kobayashi, Kazuto Ota

We prove an asymptotic formula for the $p$ -adic valuation of Hecke $L$ -values of an imaginary quadratic field at an inert prime $p$ along the anticyclotomic $Z_{p}$ -tower. T…

math.NT2024★ 1 cited

Hecke $L$ -values, definite Shimura sets and Mod $ℓ$ non-vanishing

Ashay A. Burungale, Wei He, Shinichi Kobayashi +1

Let $λ$ be a self-dual Hecke character over an imaginary quadratic field $K$ of infinity type $(1, 0)$ . Let $ℓ$ and $p$ be primes which are coprime to $6N_{K/\mathbb{Q}}({\mathrm…

math.NT2019★ 3 cited

On the quantitative variation of congruence ideals and integral periods of modular forms

Chan-Ho Kim, Kazuto Ota

We prove the conjecture of Pollack and Weston on the quantitative analysis of the level lowering congruence à la Ribet for modular forms of higher weight. It was formulated and stu…

math.NT2015★ 1 cited

Kato's Euler system and the Mazur-Tate refined conjecture of BSD type