Proc. London Math. Soc. -- Table of Contents (1930, s2-31 [1])

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Contents: Volume s2-31, Number 1, 1930 [Index by Author]
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Papers

Index

Corrigenda

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Papers

J. R. Wilton: Congruence Properties of Ramanujan's Function ${tau}$ (n)
Proc. London Math. Soc. 1930 s2-31: 1-10; doi:10.1112/plms/s2-31.1.1 [PDF] [Request Permissions]

J. R. Wilton: An Approximate Functional Equation for the Product of Two ${zeta}$ -Functions
Proc. London Math. Soc. 1930 s2-31: 11-17; doi:10.1112/plms/s2-31.1.11 [PDF] [Request Permissions]

R. L. Jeffery: The Continuity of a Function Defined by a Definite Integral
Proc. London Math. Soc. 1930 s2-31: 18-22; doi:10.1112/plms/s2-31.1.18 [PDF] [Request Permissions]

V. Naylor: A Type of Infinite Matrix
Proc. London Math. Soc. 1930 s2-31: 23-28; doi:10.1112/plms/s2-31.1.23 [PDF] [Request Permissions]

K. I. Sayers: Cesaro Summation of the Differentiated Series of Fourier-Lebesgue Series and their Allied Series
Proc. London Math. Soc. 1930 s2-31: 29-39; doi:10.1112/plms/s2-31.1.29 [Abstract] [PDF] [Request Permissions]

D. E. Littlewood: The Quadratic Equation in Quaternions
Proc. London Math. Soc. 1930 s2-31: 40-46; doi:10.1112/plms/s2-31.1.40 [PDF] [Request Permissions]

S. W. P. Steen: Divisor Functions: Their Differential Equations and Recurrence Formulae
Proc. London Math. Soc. 1930 s2-31: 47-80; doi:10.1112/plms/s2-31.1.47 [PDF] [Request Permissions]

Mary L. Cartwright: On the Relation between the Different Types of Abel Summation
Proc. London Math. Soc. 1930 s2-31: 81-96; doi:10.1112/plms/s2-31.1.81 [PDF] [Request Permissions]

N. M. H. Lightfoot: The Solidification of Molten Steel
Proc. London Math. Soc. 1930 s2-31: 97-116; doi:10.1112/plms/s2-31.1.97 [PDF] [Request Permissions]

A. R. Richardson: Congruences in Real Quaternions
Proc. London Math. Soc. 1930 s2-31: 117-122; doi:10.1112/plms/s2-31.1.117 [PDF] [Request Permissions]

T. Estermann: On the Representations of a Number as the Sum of Two Products
Proc. London Math. Soc. 1930 s2-31: 123-133; doi:10.1112/plms/s2-31.1.123 [PDF] [Request Permissions]

L. S. Bosanquet: On Abel's Integral Equation and Fractional Integrals
Proc. London Math. Soc. 1930 s2-31: 134-143; doi:10.1112/plms/s2-31.1.134 [PDF] [Request Permissions]

L. S. Bosanquet: On the Summability of Fourier Series
Proc. London Math. Soc. 1930 s2-31: 144-164; doi:10.1112/plms/s2-31.1.144 [PDF] [Request Permissions]

Einar Hille: On Functions of Bounded Deviation
Proc. London Math. Soc. 1930 s2-31: 165-173; doi:10.1112/plms/s2-31.1.165 [PDF] [Request Permissions]

D. M. Hirst: On Expansions which are Formally Reduced to Zero by the Operator sinh D—cD
Proc. London Math. Soc. 1930 s2-31: 174-199; doi:10.1112/plms/s2-31.1.174 [PDF] [Request Permissions]

W. N. Bailey: Some Definite Integrals Involving Bessel Functions
Proc. London Math. Soc. 1930 s2-31: 200-208; doi:10.1112/plms/s2-31.1.200 [PDF] [Request Permissions]

T. J. I'A. Bromwich: The Application of Operational Methods to Some Electrical Problems in Diffusion
Proc. London Math. Soc. 1930 s2-31: 209-216; doi:10.1112/plms/s2-31.1.209 [PDF] [Request Permissions]

A. T. Price: Electromagnetic Induction in a Conducting Sphere
Proc. London Math. Soc. 1930 s2-31: 217-224; doi:10.1112/plms/s2-31.1.217 [PDF] [Request Permissions]

H. S. Ruse: Some Theorems in the Tensor Calculus
Proc. London Math. Soc. 1930 s2-31: 225-230; doi:10.1112/plms/s2-31.1.225 [PDF] [Request Permissions]

G. Temple: Doubly Orthogonal Systems of Functions: Part I.—Enumerable Systems
Proc. London Math. Soc. 1930 s2-31: 231-242; doi:10.1112/plms/s2-31.1.231 [PDF] [Request Permissions]

G. Temple: Doubly Orthogonal Systems of Functions: Part II.—Continuous Systems
Proc. London Math. Soc. 1930 s2-31: 243-252; doi:10.1112/plms/s2-31.1.243 [PDF] [Request Permissions]

Alfred Young: On Quantitative Substitutional Analysis
Proc. London Math. Soc. 1930 s2-31: 253-272; doi:10.1112/plms/s2-31.1.253 [PDF] [Request Permissions]

Alfred Young: On Quantitative Substitutional Analysis
Proc. London Math. Soc. 1930 s2-31: 273-288; doi:10.1112/plms/s2-31.1.273 [PDF] [Request Permissions]

R. E. A. C. Paley: A Proof of a Theorem on Averages
Proc. London Math. Soc. 1930 s2-31: 289-300; doi:10.1112/plms/s2-31.1.289 [PDF] [Request Permissions]

R. E. A. C. Paley: On Some Problems Connected with Weierstrass's Non-Differentiable Function
Proc. London Math. Soc. 1930 s2-31: 301-328; doi:10.1112/plms/s2-31.1.301 [PDF] [Request Permissions]

S. M. Jacob: The Enumeration of the Latin Rectangle of Depth Three by Means of a Formula of Reduction, with other Theorems Relating to Non-Clashing Substitutions and Latin Squares
Proc. London Math. Soc. 1930 s2-31: 329-354; doi:10.1112/plms/s2-31.1.329 [PDF] [Request Permissions]

H. Lob and H. W. Richmond: On a Neglected Principle in Elementary Trigonometry
Proc. London Math. Soc. 1930 s2-31: 355-369; doi:10.1112/plms/s2-31.1.355 [PDF] [Request Permissions]

S. Verblunsky: On Summable Trigonometric Series
Proc. London Math. Soc. 1930 s2-31: 370-386; doi:10.1112/plms/s2-31.1.370 [PDF] [Request Permissions]

S. Verblunsky: The Generalized Third Derivative and its Application to the Theory of Trigonometric Series
Proc. London Math. Soc. 1930 s2-31: 387-406; doi:10.1112/plms/s2-31.1.387 [PDF] [Request Permissions]

M. Kourensky: A Method of Integrating the General form of a System of Partial Differential Equations of the First Order in two Dependent and two Independent Variables
Proc. London Math. Soc. 1930 s2-31: 407-416; doi:10.1112/plms/s2-31.1.407 [PDF] [Request Permissions]

Z. Markovic: Sur Les Solutions De L'équation Différentielle Lineaire du Second Ordre a Coefficient Périodique
Proc. London Math. Soc. 1930 s2-31: 417-438; doi:10.1112/plms/s2-31.1.417 [PDF] [Request Permissions]

M. E. Grimshaw: A Convergence Theorem for Non-Absolutely Convergent Integrals
Proc. London Math. Soc. 1930 s2-31: 439-444; doi:10.1112/plms/s2-31.1.439 [PDF] [Request Permissions]

V. C. Morton: On Darboux Lines
Proc. London Math. Soc. 1930 s2-31: 445-454; doi:10.1112/plms/s2-31.1.445 [PDF] [Request Permissions]

T. G. Room: An Extension of the Theorem of the Fifth Associated Line
Proc. London Math. Soc. 1930 s2-31: 455-486; doi:10.1112/plms/s2-31.1.455 [PDF] [Request Permissions]

P. N. Das Gupta: The Simultaneous System of a Quadric Surface and two Linear Complexes
Proc. London Math. Soc. 1930 s2-31: 487-504; doi:10.1112/plms/s2-31.1.487 [PDF] [Request Permissions]

W. N. Bailey: An Extension of Whipple's Theorem on Well-Poised Hypergeometric Series
Proc. London Math. Soc. 1930 s2-31: 505-511; doi:10.1112/plms/s2-31.1.505 [PDF] [Request Permissions]

G. K. Stanley: The Representation of a Number as the Sum of One Square and a Number of kth Powers
Proc. London Math. Soc. 1930 s2-31: 512-553; doi:10.1112/plms/s2-31.1.512 [PDF] [Request Permissions]

Index

: Index
Proc. London Math. Soc. 1930 s2-31: 554-556; doi:10.1112/plms/s2-31.1.554 [PDF] [Request Permissions]

Corrigenda

L. S. Bosanquet: On the Summability of Fourier Series
Proc. London Math. Soc. 1930 s2-31: 556; doi:10.1112/plms/s2-31.1.556-s [Abstract] [PDF] [Request Permissions]

A. Young: On Quantitative Substitutional Analysis
Proc. London Math. Soc. 1930 s2-31: 556; doi:10.1112/plms/s2-31.1.556-t [Abstract] [PDF] [Request Permissions]

Proceedings of the London Mathematical Society

Papers

Index

Corrigenda