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 54, Number 1
Publication Date: 1987
On the monodromy groups attached to certain families of exponential sums
Nicholas M. Katz; 41-56
A note on pseudo-CM representations and differential Galois groups
Nicholas M. Katz and Richard Pink; 57-65
Representation theory and the cuspidal group of $X(p)$
Benedict H. Gross; 67-75
A functional equation of the non-Archimedian Rankin convolution
A. A. Panchishkin; 77-89
Exceptional vector bundles on projective spaces
A. L. Gorodentsev and A. N. Rudakov; 115-130
Constructive high-dimensional sphere packings
S. N. Litsyn and M. A. Tsfasman; 147-161
Another proof of a conjecture of S. P. Novikov on periods of abelian integrals on Riemann surfaces
Enrico Arbarello and Corrado De Concini; 163-178
Sur les représentations modulaires de degré $2$ de $\mathrm{Gal}(\overline{\mathbf{Q}}/\mathbf{Q})$
Jean-Pierre Serre; 179-230
Duke Mathematical Journal
