Výsledky vyhledávání

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

Autor: Burungale, Ashay A., He, Wei, Kobayashi, Shinichi, Ota, Kazuto

Let $\lambda$ be a self-dual Hecke character over an imaginary quadratic field $K$ of infinity type $(1,0)$. Let $\ell$ and $p$ be primes which are coprime to $6N_{K/\mathbb{Q}}({\mathrm cond}(\lambda))$. We determine the $\ell$-adic valuation of Hec

Externí odkaz: http://arxiv.org/abs/2408.13932

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Akademický článek

Kato's epsilon conjecture for anticyclotomic CM deformations at inert primes

Autor: Burungale, Ashay A., Kobayashi, Shinichi, Ota, Kazuto, Yasuda, Seidai

Publikováno v: In Journal of Number Theory June 2024

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

Autor: Kim, Chan-Ho, Ota, Kazuto

We prove the conjecture of Pollack and Weston on the quantitative analysis of the level lowering congruence \`{a} la Ribet for modular forms of higher weight. It was formulated and studied in the context of the integral Jacquet-Langlands corresponden

Externí odkaz: http://arxiv.org/abs/1905.02926

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

Autor: Ota, Kazuto

Mazur and Tate proposed a conjecture which compares the Mordell-Weil rank of an elliptic curve over $\mathbb{Q}$ with the order of vanishing of Mazur-Tate elements, which are analogues of Stickelberger elements. Under some relatively mild assumptions

Externí odkaz: http://arxiv.org/abs/1509.00682

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