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 51, Number 2

#### Publication Date: June 1984

Existence of elastic deformations with prescribed principal strains and triply orthogonal systems

Dennis M. DeTurck and Deane Yang; 243-260

Differential operators and the singular values of Eisenstein series

Goro Shimura; 261-329

Formal decomposition of $n$ commuting partial linear difference operators

C. Praagman; 331-353

The $L$ and $\gamma$ factors for generic representations of $\mathrm{GSp}(4,k) \times \mathrm{GL}(2,k)$ over a local non-Archimedean field $k$

David Soudry; 355-394

Lower bounds for height functions

Joseph H. Silverman; 395-403

A bound on the dimensions of complete subvarieties of $\mathcal{M}_g$

Steven Diaz; 405-408

Families of smooth curves

Joe Harris; 409-419

On the Gauss equation of an isometric immersion

Siegfried Steiner, Eberhard Teufel and Jaak Vilms; 421-430

Imbedded modular curves and arithmetic of automorphic forms on bounded symmetric domains

Paul B. Garrett; 431-458

Small-dimensional classifying spaces for arithmetic subgroups of general linear groups

Avner Ash; 459-468

A counterexample in $H^\infty+BUC$

Carl Sundberg; 469-476