41 citations · 57 across the 6 of their papers we have counts for
9 papers
Non-vanishing theorems for prime twists of some modular -functions
Masataka Chida, Satoshi Wakatsuki
In this paper, we give some non-vanishing results on the central values of prime twists of modular -functions by imaginary quadratic fields for specific elliptic modular forms.…
Harder's conjecture II
Hiraku Atobe, Masataka Chida, Tomoyoshi Ibukiyama +2
Let be a primitive form of weight for , and let be a prime ideal of the Hecke field of . We denote by the Siegel modular group of degree .…
The derivative formula of -adic -functions for imaginary quadratic fields at trivial zeros
Masataka Chida, Ming-Lun Hsieh
The rank one Gross conjecture for Deligne-Ribet -adic -functions was solved in works of Darmon-Dasgupta-Pollack and Ventullo by the Eisenstein congruence among Hilbert modula…
Harder's conjecture I
Hiraku Atobe, Masataka Chida, Tomoyoshi Ibukiyama +2
Let be a primitive form with respect to . Then we propose a conjecture on the congruence between the Klingen-Eisenstein lift of the Duke-Imamoglu-Ikeda lift of and…
A numerical approach toward the -adic Beilinson conjecture for elliptic curves over
Masanori Asakura, Masataka Chida
Restricting ourselves to elliptic curves over , we reformulate the -adic Beilinson conjecture due to Perrin-Riou, which is customized to our computational approach.…
Regulators for Rankin-Selberg products of modular forms
François Brunault, Masataka Chida
We prove a weak version of Beilinson's conjecture for non-critical values of -functions for the Rankin-Selberg product of two modular forms.
On the anticyclotomic Iwasawa main conjecture for modular forms
Masataka Chida, Ming-Lun Hsieh
We generalize the work of Bertolini and Darmon on the anticyclotomic main conjecture for weight two forms to higher weight modular forms.
Special values of anticyclotomic L-functions for modular forms
Masataka Chida, Ming-Lun Hsieh
In this article, we generalize some works of Bertolini-Darmon and Vatsal on anticyclotomic L-functions attached to modular forms of weight two to higher weight case. We construct a…
On Fourier coefficients of Siegel modular forms of degree two with respect to congruence subgroups
Masataka Chida, Hidenori Katsurada, Kohji Matsumoto
We prove a formula of Petersson's type for Fourier coefficients of Siegel cusp forms of degree 2 with respect to congruence subgroups, and as a corollary, show upper bound estimate…