The Illinois Journal of Mathematics was founded in 1957 by R. Baer, J.L. Doob, A. Taub, G. Whitehead, and O. Zariski. The inaugural volume featured papers of many of the world's leading figures in the key areas of mathematics at the time. Since its inception, the IJM has published many influential papers, most notably the proof of the Four Color Conjecture by K. Appel and W. Haken. Distinguished researchers such as J. Bourgain, A. Calderon, S.S. Chern, H. Kesten, and K. Uhlenbeck have served as Editors of the IJM.

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### Volume 25, Issue 2

#### Publication Date: Summer 1981

Frontmatter

Discreteness criteria and high order generators for subgroups of $SL(2,R)$

Courtney Doyle and David James; 191-200

Zeros of certain composite polynomials in algebraically closed fields

Mahfooz Alam; 201-208

Complement theorems beyond the trivial range

I. Ivanšić, R. B. Sher and G. A. Venema; 209-220

On differentiation of multiple trigonometric series

M. J. Kohn; 221-232

Elliptic curves with good reduction everywhere over quadratic fields and having rational $j$-invariant

Bennett Setzer; 233-245

Some remarks on the homology groups of wreath products

Jürgen Tappe; 246-250

On sets characterizing additive and multiplicative arithmetical functions

Karl-Heinz Indlekofer; 251-257

Stickelberger relations and tame extensions of prime degree

L. N. Childs; 258-266

On a connectivity property induced by the $\theta$-closure operator

Jesse P. Clay and James E. Joseph; 267-278

Weighted kernel functions and conformal mappings

William S. Cohn; 279-294

Positive operators on spaces of Baire functions

C. T. Tucker; 295-301

Points of support for closed convex sets

A. J. Lazar; 302-305

Hyperfunctions as boundary values of generalized axially symmetric potentials

Ahmed I. Zayed; 306-317

Uniqueness theorems for minimal surfaces

William H. Meeks; 318-336

Local Dilations

Mark D. Meyerson; 337-357

Backmatter