Pure and Applied Mathematics Quarterly

Volume 2 (2006)

Number 1

Contents

Preface

Lizhen Ji, Shing-Tung Yau, and Shouwu Zhang

Hypersymmetric Abelian Varieties

Ching-Li Chai and Frans Oort

pp. 1-27

Derivatives of Modular Forms of Negative Weight

Daniel Bump and YoungJu Choie

pp. 111-133

Towards Lang-Trotter for Elliptic Curves over Function Fields

Chris Hall and Jose Felipe Voloch

pp. 163-178

Double Character Sums over Elliptic Curves and Finite Fields

William D. Banks, John B. Friedlander, Moubariz Z. Garaev, and Igor E. Shparlinski

pp. 179-197

A Note on L-packets

James Arthur

pp. 199-217

Periods and Distribution of Cycles on Hilbert Modular Varieties

Dihua Jiang, Jianshu Li, and Shou-Wu Zhang

pp. 219-277