Transactions of the AMS. Year 1927. Volume 029. Number 01.


Sets of independent postulates for the arithmetic mean, the geometric mean, the harmonic mean, and the root-mean-square
Edward V. Huntington
1-22


Irregular differential systems of order two and the related expansion problems
M. H. Stone
23-53


Some problems in the theory of interpolation by Sturm-Liouville functions
Carey M. Jensen
54-79


Singular ruled surfaces in space of five dimensions
E. B. Stouffer
80-95


On a type of completeness characterizing the general laws for separation of point-pairs
C. H. Langford
96-110


Integers and basis of a number field
N. R. Wilson
111-126


Implicit functions and their differentials in general analysis
T. H. Hildebrandt; Lawrence M. Graves
127-153


Application of the theory of relative cyclic fields to both cases of Fermat's last theorem. II
H. S. Vandiver
154-162


Riemann integration and Taylor's theorem in general analysis
Lawrence M. Graves
163-177


Alternatives to Zermelo's assumption
Alonzo Church
178-208


On a general theorem concerning the distribution of the residues and non-residues of powers
J. M. Vinogradov
209-217


On the bound of the least non-residue of $n$th powers
J. M. Vinogradov
218-226


On convergence factors in multiple series
Charles N. Moore
227-238