Let π ⊗ σ be a supercuspidal representation of GL(2n)× SO(2n) over a p-adic field with π selfdual, where SO(2n) stands for a quasisplit even special orthogonal group. In order to study its normalized parabolic induction to SO(6n), Goldberg and Shahidi defined a pairing R between the matrix coefficients of π and σ which controls the residue of the standard intertwining operator. The elliptic par...

O ver the next 50 years, as Earth’s population races toward 9 billion inhabitants, we will need to produce more food than we have produced since the advent of agriculture 10,000 years ago (1). This challenge, warns National Academy of Sciences member Robert Goldberg, is particularly daunting given the finite and shrinking amount of arable land on which food crops can be grown. Increasing the yi...