Takuya Yamauchi

LOCAL NEWFORMS AND FORMAL EXTERIOR SQUARE L-FUNCTIONS

Let F be a non-archimedean local field of characteristic zero. Jacquet and Shalika attached a family of zeta integrals to unitary irreducible generic representations π of GLn(F). In this paper, we show that the Jacquet–Shalika integral attains a certain L-function, the so-called formal exterior square L-function, when the Whittaker function is associated to a newform for π. By considerations on the Galois side, formal exterior square L-functions are equal to exterior square L-functions for some principal series representations.

Cusp forms on the exceptional group of type

Let

Endoscopic lifts to the Siegel modular threefold related to Klein's cubic threefold

\mathbf{G}

On Prym varieties for the coverings of some singular plane curves

be the connected reductive group of type

The Rank of Jacobian Varieties over the Maximal Abelian Extensions of Number Fields: Towards the Frey-Jarden Conjecture

E_{7,3}

An Observation on the Cyclicity of the Group of the

over

\mathbb{F}_p

\mathbb{Q}

-Rational Points of Abelian Surfaces

and

An explicit computation of p-stabilized vectors

\mathfrak{T}

Spontaneous and specific binding of enterohemorrhagic Escherichia coli to overoxidized polypyrrole-coated microspheres

be the corresponding symmetric domain in