CONTENTS. 



VOL. XIX. 



PAGE 



A self-recording electrometer for Atmospheric Electricity. By W. A. 



Douglas Rudge, M.A., St John's College. (Eleven figs, in Text) . 1 



On the expression of a number in the form ax^ + by^ + cz^ + du'^. By 

 S. Ramanujan, B.A., Trinity College. (Communicated by Mr 

 G. H. Hardy) H 



An Axiom in Symbolic Logic. By C. E. Van Horn, M.A. (Communicated 



by Mr G. H. Hardy) 22 



A Reduction in the number of the Primitive Propositions of Logic. By 

 J. G. P. NicoD, Trinity College. (Communicated by Mr G. H. 

 Hardy) 32 



Bessel functions of equal order and argument. By G. N. Watson, M.A., 



Trinity College 42 



The limits of applicability of the Principle of Stationary Phase. By 



G. N. Watson, M.A., Trinity College 49 



On the Functions of the Mouth-Parts of the Common Pravni. By L. A. 



Borradatlb, M.A., Selwyn College 56 



The Direct Solution of the Quadratic and Cubic Binomial Congruences with 



Prime Moduli. By H. C. Pocklington, M.A., St John's College 57 



On a theorem of Mr G. Polya. By G. H. Hardy, M.A.. Trinity College . 60 



Submergence and glacial climates during the accumulation of the Cambridge- 

 shire Pleistocene Deposits. By J. E. Marr, Sc.D., E.R.S., St John's 

 College. (Two figs, in Text) 64 



071 the Hydrodynamics of Relativity. By C. E. Weathers urn, M.A. 



(Camb.), D.Sc. (Sydney), Ormond College, Parkville, Melbourne . 72 



0>i the convergence of certain multiple series. By G. H. Hardy, M.A., 



Trinity CoUege 86 



Bessel functions of large order. By G. N. Watson, M.A., Trinity College . 96 



A particular case of a theorem of Dirichlet. By H. Todd, B.A., Pembroke 

 College. (Communicated, with a prefatory note, by Mr H. T. J. 

 Norton) HI 



