41 citations · 70 across the 12 of their papers we have counts for
14 papers
Five-variable -adic -functions for
Ming-Lun Hsieh, Shunsuke Yamana
We construct a five-variable -adic -function attached to Hida families on the definite unitary groups and by using the Ichino-Ikeda formula. The interpolation f…
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…
CM congruence and trivial zeros of the Katz -adic -functions for CM fields
Adel Betina, Ming-Lun Hsieh
The aim of this paper is to investigate the trivial zeros of the Katz -adic -functions by the CM congruence. We prove the existence of trivial zeros of the Katz -adic -…
Restriction of Eisenstein series and Stark-Heegner points
Ming-Lun Hsieh, Shunsuke Yamana
In a recent work of Darmon, Pozzi and Vonk, the authors consider a particular -adic family of Hilbert Eisenstein series $E_k(1,\brch)$ associated with an odd character $\brch$ o…
Four-variable -adic triple product -functions and the trivial zero conjecture
Ming-Lun Hsieh, Shunsuke Yamana
We construct the four-variable primitive -adic -functions associated with the triple product of Hida families and prove the explicit interpolation formulae at all critical va…
Bessel periods and anticyclotomic -adic spinor -functions
Ming-Lun Hsieh, Shunsuke Yamana
We construct the anticyclotomic -adic -function that interpolates a square root of central values of twisted spinor -functions of a quadratic base change of a Siegel cusp…
Hida families and p-adic triple product L-functions
Ming-Lun Hsieh
We construct the three-variable p-adic triple product L-functions attached to Hida families of ellptic newforms and prove the explicit interpolation formulae at all critical specia…
Inner product formula for Yoshida lifts
Ming-Lun Hsieh, Kenichi Namikawa
We prove an explicit inner product formula for vector-valued Yoshida lifts. As a consequence, we obtain the non-vanishing of Yoshida lifts.
Bessel periods and the non-vanishing of Yoshida lifts modulo a prime
Ming-Lun Hsieh, Kenichi Namikawa
We give an explicit construction of vector-valued Yoshida lifts and derive a formula of the Bessel periods of Yoshida lifts, by which we prove the non-vanishing modulo a prime of Y…
Heegner cycles and -adic -functions
Francesc Castella, Ming-Lun Hsieh
In this paper, we deduce the vanishing of Selmer groups for the Rankin-Selberg convolution of a cusp form with a theta series of higher weight from the nonvanishing of the associat…
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…
Special values of anticyclcotomic Rankin-Selberg L-functions
Ming-Lun Hsieh
In this article, we prove an explicit Waldspurger formula for the toric Hilbert modular forms. As an application, we construct a class of anticyclotomic p-adic Rankin-Selberg L-fun…
On the mu-invariant of anticyclotomic p-adic L-functions for CM fields
Ming-Lun Hsieh
In this article, we follow Hida's approach to study the mu-invariant of the anticyclotomic projection of p-adic Hecke L-functions for CM fields along a branch character. We prove a…