Research theme for competitive and other funds (7):
2022 - 2027 New developments in the anticyclotomic Iwasawa theory and special value formulas on L-functions
2021 - 2025 保型形式に付随する L 関数の特殊値と数論的不変量のp進的研究
2018 - 2021 志村曲線の数論幾何と保型形式のp進L関数
2017 - 2021 Hirzebruch-Zagierサイクルとp進L関数
2016 - 2018 A research on a new symmetry on motive with real multiplication
2013 - 2018 A p-adic approach to the special value formula of L-functions
2012 - 2015 p進表現に対するp進高さ関数のノルム構成
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Papers (12):
Ashay A. Burungale, Shinichi Kobayashi, Kazuto Ota, Seidai Yasuda. Kato's epsilon conjecture for anticyclotomic CM deformations at inert primes. Journal of Number Theory. 2024
Ashay Burungale, Shinichi Kobayashi, Kazuto Ota. On the Tate-Shafarevich groups of CM elliptic curves over anticyclotomic Z_p-extensions at inert primes. The proceedings volume for Massimo Bertolini's 60th birthday. 2024. to appear
Ashay A. Burungale, Shinichi Kobayashi, Kazuto Ota. p-ADIC L-FUNCTIONS AND RATIONAL POINTS ON CM ELLIPTIC CURVES AT INERT PRIMES. Journal of the Institute of Mathematics of Jussieu. 2023. 1-44
Chan-Ho Kim, Kazuto Ota. On the quantitative variation of congruence ideals and integral periods of modular forms. Research in the Mathematical Sciences. 2023. 10. 2
Kazuto Ota. On the rank-part of the Mazur-Tate refined conjecture for higher weight modular forms. Annales de l'Institut Fourier. 2023. 73. 3. 1319-1364