348 Proceedings at the Meetings 



3. On the exponentiation of well-ordered series. By Miss D. Wrinch. 

 (Communicated by Mr Gr. H. Hardy.) 



4. On certain trigonometrical series which have a necessary and 

 sufficient condition for uniform convergence. By A. E. Jolliffe. 

 (Communicated by Mr Gr. H. Hardy.) 



5. Some geometrical interpretations of the concomitants of two 

 quadrics. By H. W. Turnbull, M.A. (Communicated by Mr G. H. 

 Hardy.) 



6. On Mr Ramanujan's congruence properties of p (n). By H. B. C. 

 Darling, B.A. (Communicated by Mr G. H. Hardy.) 



7. On the correct Generic Position of Dacrydium Bidwillii Hook f. 

 By B. Sahni, M.A., Emmanuel College. (Communicated by Professor 

 Seward.) 



February 3, 1919. 

 In the Balfour Library. 



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



The following were elected Fellows of the Society : 



S. R. U. Savoor, B.A., Trinity College. 

 S. C. Tripathi, B.A., Emmanuel College. 



The following was elected an Associate : 

 P. W. Burbidge, Trinity College. 



The following Communications were made to the Society : 



1. The Gauss-Bonnet Theorem for multiply-connected regions of a 

 surface. By E. H. Neville, M.A., Trinity College. 



2. On the representations of a number as a sum of an odd number of 

 squares. By L. J. Mordell. (Communicated by Mr G. H. Hardy.) 



3. On certain empirical formulae connected with Goldbach's 

 Theorem. By N. M. Shah and B. M. Wilson. (Communicated by 

 Mr G. H. Hardy.) 



4. Note on Messrs Shah and Wilson's paper entitled : On certain 

 empirical formulae connected with Goldbach's Theorem. By G. H. 

 Hardy, M.A., Trinity College and J. E. Littlewood, M.A., Trinity 

 College. 



