Duke Mathematical Journal

Published by Duke University Press since its inception in 1935, the Duke Mathematical Journal is one of the world's leading mathematical journals. Without specializing in a small number of subject areas, it emphasizes the most active and influential areas of current mathematics.


Volume 71, Number 2

Publication Date: August 1993

Fluxes, Laplacians, and Kasteleyn’s theorem

Elliott H. Lieb and Michael Loss; 337-363

On the first Betti number of a hyperbolic manifold with an arithmetic fundamental group

Jian-Shu Li and John J. Millson; 365-401

Monodromy of the hypergeometric differential equation of type $(3,6)$, I

Keiji Matsumoto, Takeshi Sasaki, Nobuki Takayama and Masaaki Yoshida; 403-426

Qualitative properties of solutions to some nonlinear elliptic equations in $R^2$

Wenxiong Chen and Congming Li; 427-439

Iwasawa theory of elliptic curves and Galois module structure

A. Agboola; 441-462

Density theorems for congruence groups in real rank $1$

Jonathan Huntley and Yonatan R. Katznelson; 463-473

Effective bound for the geometric Lang conjecture

Alexandru Buium; 475-499

On the Fourier coefficients of Hilbert modular forms of half-integral weight

Goro Shimura; 501-557

Ergodic properties of eigenfunctions for the Dirichlet problem

Patrick Gérard and Eric Leichtnam; 559-607

Topological invariance of the solvability of complex-valued vector fields in the plane

Abdelhamid Meziani; 609-628

The limit of Lagrangian surfaces in $R^4$

Yng-Ing Lee; 629-631

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