486 Proceedings at the Meetings 



The following Communications were made to the Society : 



1. On the stability of the steady motion of viscous liquid contained 

 between two rotating co-axal circular cylinders. By K. Tamaki and 

 W. J. Harrison, M.A., Clare College. 



2. Sur le principe de Phragmen-Lindelof. By M. Marcel Rjesz 

 and Professor G-. H. Hardy. 



3. A note on the nature of the carriers of the Anode Rays By 

 G. P. Thomson, M.A., Corpus Christi College. 



4. On the distribution of primes. By M. H. Cramer. (Communicated 

 by Professor G. H. Hardy.) 



5. Note on Ramanujan's trigonometrical function c^ {n), and certain 

 series of arithmetical functions. By Professor G. H. Hardy. 



6. On the representation of an algebraic number as a sum of four 

 squares. By L. J. Mordell, M.A., St John's College. (Communicated 

 by Professor H. F. Baker.) 



7. The parity of the number which enumerates the Partitions of a 

 number. By Major P. A. MacMahon. 



November 8, 1920. 

 In the Cavendish Laboratory. 



Mr C. T. R. Wilson, Vice-President, in the Chair. 

 The following was elected an Associate of the Society : 



M. H. Belz, Gonville and Caius College. 

 The following communication was made to the Society: 



The Inner Structure of Atoms. By Professor Sir Ernest Ruther- 

 ford. 



November 22, 1920. 

 In the Comparative Anatomy Lecture Room. 



Professor Seward, President, in the Chair. 

 The following were elected Fellows of the Society: 



A. B. Appleton, M.A., Downing College. 

 R. H. Atkinson, M.A., Queens' College. 



E. S. Dewing, B.A., Gonville and Caius College. 



C. D. Ellis, B.A., Trinity College. 



U. R. Evans, M.A., King's College. 



J. E. G. Harris, B.A., Jesus College. 



L. J. Mordell, M.A., St John's College. 



E. K. Rideal, M.A., Trinity Hall. 



R. C. Staples-Browne, M.A., Emmanuel College. 



B. M. Wilson, B.A., Trinity College. 



