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20082020
most citedOn the lifting of Hilbert cusp forms to Hilbert-Siegel cusp forms

4 citations · 7 across the 7 of their papers we have counts for

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math.NT2020

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…

math.NT2019★ 2 cited

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…

math.NT2018

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…

math.NT2018

Derivatives of Eisenstein series of weight 2 and intersections of modular correspondences

Sungmun Cho, Shunsuke Yamana, Takuya Yamauchi

We give a formula for certain values and derivatives of Siegel series and use them to compute Fourier coefficients of derivatives of the Siegel Eisenstein series of weight g/2 and…

math.NT2016★ 1 cited

The CAP representations indexed by Hilbert cusp forms

Shunsuke Yamana

We combine the Duke-Imamoglu-Ikeda lifting with the theta lifting to produce new CAP representations of metaplectic, symplectic and orthogonal groups. These constructions partially…

math.NT2015★ 4 cited

On the lifting of Hilbert cusp forms to Hilbert-Siegel cusp forms

Ikeda Tamotsu, Shunsuke Yamana

Starting from a Hilbert cusp form of weight $2\kap$, we will construct a Hilbert-Siegel cusp form of weight $\kap+\frac{m}{2}$ and degree and its transfer to inner forms of sym…

math.NT2008

Jacobi forms of degree one

Shunsuke Yamana

We show that a certain subspace of space of elliptic cusp forms is isomorphic as a Hecke module to a certain subspace of space of Jacobi cusp forms of degree one with matrix index…

math.NT2008

Maass relations in higher genus

Shunsuke Yamana

For an arbitrary even genus we show that the subspace of Siegel cusp forms of degree generated by Ikeda lifts of elliptic cusp forms can be characterized by certain linea…