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Contents: Volume s2-53, Number 1, 1951   [Index by Author] 
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To see an article, click its [Full Text] or [PDF] link. To review many abstracts, check the boxes to the left of the titles you want, and click the 'Get All Checked Abstract(s)' button. To see one abstract at a time, click its [Abstract] link.

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H. Kestelman
Automorphisms of the Field of Complex Numbers
Proc. London Math. Soc. 1951 s2-53: 1-12; doi:10.1112/plms/s2-53.1.1 [PDF] [Request Permissions]  

H. S. Ruse
The Riemann Complex in a Four-Dimensional Space of Recurrent Curvature
Proc. London Math. Soc. 1951 s2-53: 13-31; doi:10.1112/plms/s2-53.1.13 [PDF] [Request Permissions]  

H. Burkill
Almost Periodicity and Non-Absolutely Integrable Functions
Proc. London Math. Soc. 1951 s2-53: 32-42; doi:10.1112/plms/s2-53.1.32 [PDF] [Request Permissions]  

D. E. Littlewood
Differentiation in Space-Time
Proc. London Math. Soc. 1951 s2-53: 43-56; doi:10.1112/plms/s2-53.1.43 [PDF] [Request Permissions]  

P. Majstrenko
On a Theorem of Poincaré and Volterra
Proc. London Math. Soc. 1951 s2-53: 57-64; doi:10.1112/plms/s2-53.1.57 [PDF] [Request Permissions]  

H. Davenport
Indefinite Binary Quadratic Forms, and Euclid's Algorithm in Real Quadratic Fields
Proc. London Math. Soc. 1951 s2-53: 65-82; doi:10.1112/plms/s2-53.1.65 [PDF] [Request Permissions]  

A. F. Ruston
On the Fredholm Theory of Integral Equations for Operators Belonging to the Trace Class of a General Banach Space
Proc. London Math. Soc. 1951 s2-53: 109-124; doi:10.1112/plms/s2-53.2.109 [PDF] [Request Permissions]  

T. Estermann
On Sums of Squares of Square-Free Numbers
Proc. London Math. Soc. 1951 s2-53: 125-137; doi:10.1112/plms/s2-53.2.125 [PDF] [Request Permissions]  

D. B. Sears
On the Transformation Theory of Hypergeometric Functions and Cognate Trigonometrical Series
Proc. London Math. Soc. 1951 s2-53: 138-157; doi:10.1112/plms/s2-53.2.138 [PDF] [Request Permissions]  

D. B. Sears
On the Transformation Theory of Basic Hypergeometric Functions
Proc. London Math. Soc. 1951 s2-53: 158-180; doi:10.1112/plms/s2-53.2.158 [PDF] [Request Permissions]  

H. Davenport
Indefinite Binary Quadratic Forms, and Euclid's Algorithm in Real Quadratic Fields
Proc. London Math. Soc. 1951 s2-53: 81-82; doi:10.1112/plms/s2-53.2.81 [PDF] [Request Permissions]  

H. Melvin-Melvin
On Generalzed K-Transformations in Banach Spaces
Proc. London Math. Soc. 1951 s2-53: 83-108; doi:10.1112/plms/s2-53.2.83 [PDF] [Request Permissions]  

D. B. Sears
Transformations of Basic Hypergeometric Functions of any Order
Proc. London Math. Soc. 1951 s2-53: 181-191; doi:10.1112/plms/s2-53.3.181 [PDF] [Request Permissions]  

R. Henstock
Density Integration
Proc. London Math. Soc. 1951 s2-53: 192-211; doi:10.1112/plms/s2-53.3.192 [PDF] [Request Permissions]  

H. S. Ruse
A Classification of K*-Spaces
Proc. London Math. Soc. 1951 s2-53: 212-229; doi:10.1112/plms/s2-53.3.212 [PDF] [Request Permissions]  

B. Kuttner
A New Method of Summability
Proc. London Math. Soc. 1951 s2-53: 230-242; doi:10.1112/plms/s2-53.3.230 [PDF] [Request Permissions]  

B. Kuttner
A New Method of Summability
Proc. London Math. Soc. 1951 s2-53: 241-242; doi:10.1112/plms/s2-53.4.241 [PDF] [Request Permissions]  

R. Rado
Some Covering Theorems (II)
Proc. London Math. Soc. 1951 s2-53: 243-267; doi:10.1112/plms/s2-53.4.243 [PDF] [Request Permissions]  

K. F. Roth
On Waring's Problem for Cubes
Proc. London Math. Soc. 1951 s2-53: 268-279; doi:10.1112/plms/s2-53.4.268 [PDF] [Request Permissions]  

F. Brickell
On Metrical Geometries Based on an Integral as Fundamental Invariant
Proc. London Math. Soc. 1951 s2-53: 280-293; doi:10.1112/plms/s2-53.4.280 [PDF] [Request Permissions]  

R. S. Clark
The Conformal Geometry of a General Differential Metric Space
Proc. London Math. Soc. 1951 s2-53: 294-309; doi:10.1112/plms/s2-53.4.294 [PDF] [Request Permissions]  

A. V. Prasad
On a Theorem of Khintchine
Proc. London Math. Soc. 1951 s2-53: 310-320; doi:10.1112/plms/s2-53.4.310 [PDF] [Request Permissions]  

S. Kulik
Linear Difference Equations with Boundary Conditions
Proc. London Math. Soc. 1951 s2-53: 331-344; doi:10.1112/plms/s2-53.5.331 [PDF] [Request Permissions]  

M. J. Newell
On the Quotients of Alternants and the Symmetric Group
Proc. London Math. Soc. 1951 s2-53: 345-355; doi:10.1112/plms/s2-53.5.345 [PDF] [Request Permissions]  

M. J. Newell
On the Multiplication of S-Functions
Proc. London Math. Soc. 1951 s2-53: 356-362; doi:10.1112/plms/s2-53.5.356 [PDF] [Request Permissions]  

H. Halberstam
On the Representation of Large Numbers as Sums of Squares, Higher Powers, and Primes
Proc. London Math. Soc. 1951 s2-53: 363-380; doi:10.1112/plms/s2-53.5.363 [PDF] [Request Permissions]  

K. F. Roth
A Problem in Additive Number Theory
Proc. London Math. Soc. 1951 s2-53: 381-395; doi:10.1112/plms/s2-53.5.381 [PDF] [Request Permissions]  

D. B. Sears
An Expansion in Eigenfunctions
Proc. London Math. Soc. 1951 s2-53: 396-421; doi:10.1112/plms/s2-53.5.396 [PDF] [Request Permissions]  

J. V. Whitworth
The Critical Lattices of the Double Cone
Proc. London Math. Soc. 1951 s2-53: 422-443; doi:10.1112/plms/s2-53.6.422 [PDF] [Request Permissions]  

W. W. Rogosinski
On the Cesàro and Hülder Series of a Function
Proc. London Math. Soc. 1951 s2-53: 444-459; doi:10.1112/plms/s2-53.6.444 [PDF] [Request Permissions]  

L. J. Slater
A New Proof of Rogers's Transformations of Infinite Series
Proc. London Math. Soc. 1951 s2-53: 460-475; doi:10.1112/plms/s2-53.6.460 [PDF] [Request Permissions]  

H. G. Eggleston
The Coefficient Theory of Functions with Singularities of the Form Formula
Proc. London Math. Soc. 1951 s2-53: 476-492; doi:10.1112/plms/s2-53.6.476 [PDF] [Request Permissions]  

To see an article, click its [Full Text] or [PDF] link. To review many abstracts, check the boxes to the left of the titles you want, and click the 'Get All Checked Abstract(s)' button. To see one abstract at a time, click its [Abstract] link.