Pure and Applied Mathematics Quarterly

Volume 1 (2005)

Number 1

Contents

On the values of Artin L-functions

Benedict H. Gross

pp. 1-13

Congruent Number Problem

John H. Coates

pp. 14-27

Shafarevich’s Conjecture for CY Manifolds I

Kefeng Liu, Andrey Todorov, Shing-Tung Yau, and Kang Zuo

pp. 28-67

The Rallis-Schiffmann Lifting and Arthur Packets of G2

Wee Teck Gan and Nadya Gurevich

pp. 109-126

On K(E9)

H. Nicolai and H. Samtleben

pp. 180-204

Modular Forms For Noncongruence Subgroups

Wen-Ching Winnie Li, Ling Long, and Zifeng Yang

pp. 205-221

Excentric compactifications

Steven Zucker

pp. 222-226