We show that abelian surfaces (and consequently curves of genus 2) over totally real fields
are potentially modular. As a consequence, we obtain the expected meromorphic …

This book presents a treatment of the theory of $ L $-functions developed by means of the
theory of Eisenstein series and their Fourier coefficients, a theory which is usually referred to …

We give an explicit conjectural formula for the motivic Euler characteristic of an arbitrary
symplectic local system on the moduli space A _3 of principally polarized abelian threefolds …

We give some heuristics for counting elliptic curves with certain properties. In particular, we
rederive the Brumer–McGuinness heuristic for the number of curves with positive/negative …

Using Poincaré series of K-finite matrix coefficients of integrable antiholomorphic discrete
series representations of Sp 2 n (R), we construct a spanning set for the space S ρ (Γ) of …

We prove an automorphic analogue of Deligne's conjecture for symmetric fourth L-functions
of Hilbert modular forms. We extend the result of Morimoto [41] based on generalization and …

The multiplicity-one theorem for generic automorphic forms of GSp(4) Page 1 Pacific
Journal of Mathematics THE MULTIPLICITY-ONE THEOREM FOR GENERIC …

In this paper, we give explicit generators of the module given by the direct sum over k of
vector valued Siegel modular forms of degree two of level 1 of weight detk Sym (j) for j= 2, 4 …

We prove an explicit integral representation—involving the pullback of a suitable Siegel
Eisenstein series—for the twisted standard L-function associated to a holomorphic vector …

We prove an algebraicity property for a certain ratio of Petersson norms associated to a
Siegel cusp form of degree 2 (and arbitrary level) whose adelization generates a weak …