Volume 154 Issue 3 – November 2001

## Fields of $u$-invariant $9$

Pages 529-587 by Oleg T. Izhboldin

## Integration on $\mathcal{H}_p \times \mathcal{H}$ and arithmetic applications

Pages 589-639 by Henri Darmon

## On the lifting of elliptic cusp forms to Siegel cusp forms of degree $2n$

Pages 641-681 by Tamotsu Ikeda

## A question of Rentschler and the Dixmier Problem

Pages 683-701 by Vladimir V. Bavula

## Invariant differential operators and eigenspace representations on an affine symmetric space

Pages 703-737 by Jing-Song Huang

## The Severi bound on sections of rank two semistable bundles on a Riemann surface

Pages 739-758 by Javier Cilleruelo, Ignacio Sols

## On the differential equations satisfied by weighted orbital integrals

Pages 759-802 by Werner Hoffmann