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 33, Number 4

Publication Date: December 1966

Correlation of semi-multiplicative functions

David Rearick; 623-627

A note on the composition of arithmetic functions

L. Carlitz; 629-632

A note on polyhedra embeddable in the plane

Sibe Mardešić and Jack Segal; 633-638

Compact and related mappings

George L. Cain, Jr.; 639-645

Baer rings which arise from certain transitive graphs

W. Edwin Clark; 647-656

Orders on commutative rings

C. W. Kohls and J. D. Reid; 657-666

Left and right boundary cluster sets in $n$-space

H. T. Mathews; 667-672

Retraction onto a dendrite

C. J. Houghton; 673-677

The invariance of domain under acyclic mappings

Jussi Väisälä; 679-681

A note on upper semicontinuous decompositions of the $n$-sphere

Jehpill Kim; 683-687

Concerning a wild 3-cell described by Bing

Steve Armentrout; 689-704

Addendum to: “Ramanujan’ sum for generalised integers”

E. M. Horadam; 705-707

$\mathcal{L}^1$-spaces in measure algebras over compact semigroups

Henry P. Decell, Jr.; 709-714

Vanishing coefficients and binomial congruences

M. P. Drazin; 715-720

Some congruences involving binomial coefficients

L. Carlitz; 721-724

Sufficient conditions for stability of a solution of difference equations

R. A. Smith; 725-734

An extremal problem in quasiconformal mappings

Stephen Agard; 735-741

Normal families and completely regular spaces

E. F. Steiner; 743-745

The number of solutions of certain quintic congruences

H. S. Hayashi; 747-756

A combinatorial distribution problem

Harsh Anand, Vishwa Chander Dumir and Hansraj Gupta; 757-769

Enumeration of symmetric arrays

L. Carlitz; 771-782

A congruence equation in $GF[p^n,x]$ and some related arithmetical identities

K. Nageswara Rao; 783-789

On Fox’s property of a surface in a $3$-manifold

Shin’ichi Kinoshita; 791-794

Remark on a paper of S. K. Berberian

E. Durszt; 795-796

The number of squarefree divisors of an integer

A. A. Gioia and A. M. Vaidya; 797-799

On the law of the iterated logarithm for continued fractions

Olaf P. Stackelberg; 801-819

Errata: “Upper semi-continuous decompositions and factorization of certain non-continuous transformations,” vol. 32 (1965) pp. 679–687

Melvin R. Hagan; 821

Errata: “A theorem on the measurability of group-invariant operators,” vol. 26 (1959) pp. 549–552

I. E. Segal; 821

Errata: “A note on the average order of number-theoretic error terms,” vol. 32 (1965) pp. 279–284

Sanford L. Segal; 821

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