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Duke Mathematical Journal
VOL. 22 · NO. 4 | December 1955
 
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Articles
Finitely generated modules
Harley Flanders
Duke Math. J. 22 (4), 477-483, (December 1955) DOI: 10.1215/S0012-7094-55-02254-7
KEYWORDS: 09.3X
No abstract available
A theorem on upper semi-continuous decompositions
William R. Smythe, Jr.
Duke Math. J. 22 (4), 485-495, (December 1955) DOI: 10.1215/S0012-7094-55-02255-9
KEYWORDS: 56.0X
No abstract available
Representations by bilinear forms in a finite field
John H. Hodges
Duke Math. J. 22 (4), 497-509, (December 1955) DOI: 10.1215/S0012-7094-55-02256-0
KEYWORDS: 10.2X
No abstract available
Boundedness of the solutions of second order linear differential equations
Richard Bellman
Duke Math. J. 22 (4), 511-513, (December 1955) DOI: 10.1215/S0012-7094-55-02257-2
KEYWORDS: 34.0X
No abstract available
Binary, linear, elliptic, partial differential equations
Philip Hartman, Aurel Wintner
Duke Math. J. 22 (4), 515-524, (December 1955) DOI: 10.1215/S0012-7094-55-02258-4
KEYWORDS: 35.0X
No abstract available
The solutions of the differential equation v‴+λ2zv′+3μλ2v=0
Rudolph E. Langer
Duke Math. J. 22 (4), 525-541, (December 1955) DOI: 10.1215/S0012-7094-55-02259-6
KEYWORDS: 34.0X
No abstract available
An extension of Ramanujan’m. II. Additive properties
Eckford Cohen
Duke Math. J. 22 (4), 543-550, (December 1955) DOI: 10.1215/S0012-7094-55-02260-2
KEYWORDS: 10.0X
No abstract available
Fixed points, fixed sets, and M-retracts
Wayman Strother
Duke Math. J. 22 (4), 551-556, (December 1955) DOI: 10.1215/S0012-7094-55-02261-4
KEYWORDS: 56.0X
No abstract available
On the numerical integration of a parabolic differential equation subject to a moving boundary condition
Jim Douglas, Jr., T. M. Gallie, Jr.
Duke Math. J. 22 (4), 557-571, (December 1955) DOI: 10.1215/S0012-7094-55-02262-6
KEYWORDS: 65.0X
No abstract available
The Hausdorff-Bernstein-Widder theorem for semi-groups in locally compact Abelian groups
A. E. Nussbaum
Duke Math. J. 22 (4), 573-582, (December 1955) DOI: 10.1215/S0012-7094-55-02263-8
KEYWORDS: 46.2X
No abstract available
A note on power residues
L. Carlitz
Duke Math. J. 22 (4), 583-587, (December 1955) DOI: 10.1215/S0012-7094-55-02264-X
KEYWORDS: 10.2X
No abstract available
Note on the class number of quadratic fields
L. Carlitz
Duke Math. J. 22 (4), 589-593, (December 1955) DOI: 10.1215/S0012-7094-55-02265-1
KEYWORDS: 10.2X
No abstract available
Arithmetic and limit theorems for a class of random variables
Edwin Hewitt, Herbert S. Zuckerman
Duke Math. J. 22 (4), 595-615, (December 1955) DOI: 10.1215/S0012-7094-55-02266-3
KEYWORDS: 60.0X
No abstract available
Summability of generalized Bernstein polynomials. I
P. L. Butzer
Duke Math. J. 22 (4), 617-623, (December 1955) DOI: 10.1215/S0012-7094-55-02267-5
KEYWORDS: 42.1X
No abstract available
Graphs and matching theorems
Oystein Ore
Duke Math. J. 22 (4), 625-639, (December 1955) DOI: 10.1215/S0012-7094-55-02268-7
KEYWORDS: 56.0X
No abstract available
Arithmetic properties of Bernoulli numbers of higher order
F. R. Olson
Duke Math. J. 22 (4), 641-653, (December 1955) DOI: 10.1215/S0012-7094-55-02269-9
KEYWORDS: 10.0X
No abstract available
Complements of maximal ideals in compact semigroups
W. M. Faucett, R. J. Koch, K. Numakura
Duke Math. J. 22 (4), 655-661, (December 1955) DOI: 10.1215/S0012-7094-55-02270-5
KEYWORDS: 22.0X
No abstract available
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