188 Proceedings at the Meetitujis 



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

 Pembroke College. (Communicated by Mr H. T. J. Norton.) 



4. On Mr Ramanujan's Empirical Expansions of Modular Functions. 

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



5. Extensions of Abel's Theorem and its converses. By Dr 

 A. KiENAST. (Communicated by Mr G. H. Hardy.) 



November 12, 1917. 

 In the Comparative Anatomy Lecture Koom. 



Professor Marr, President, in the Chair. 



The following Communications were made to the Society : 



1. Some experiments on the inheritance of weight in rabbits. By 

 Professor Punnett and the late Major P. G. Bailey. 



2. The Inheritance of Tight and Loose Paleae in Avena nuda 

 crosses. By A. St Clair Caporn. (Communicated by Professor 

 Bitten.) 



February 4, 1918. 

 In the Comparative Anatomy Lecture Room. 



Professor Marr, President, in the Chair. 



The following Communications were made to the Society: 



1. On certain integral equations. By Major P. A. MacMahon. 



2. (1) Sir George Stokes and the concept of uniform convergence. 

 (2) Note on Mr Ramanujan's Paper entitled : On some definite 



integrals. 



By G. H. Hardy, M.A., Trinity College. 



3. Asymptotic expansions of hypergeometric functions. By G. N. 

 Watson, M.A., Trinity College. 



4. (1) On certain trigonometrical sums and their applications in 



the theory of numbers. 

 (2) On some definite integrals. 

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

 G. H. Hardy.) 



