VI 



Contents 



On Mr Ramanujari' s Empirical Expansions of Modular Functions. By 

 L. J. MoRDELL, Birkbeck College, London. (Communicated by 

 Mr G. H. Hardy) . . . 



Proceedings at the Meetings held dm-ing the Session 1916 — 1917 . 



Extensions of Abel's Theorem and its converses. By Dr A. Kienast, Kiis 

 nacht, Ziirich, Switzerland. (Communicated by Mr G. H. Hardy 



Sir George Stokes and the concept of uniform convergence. By G. H. Hardy, 

 M.A., Trinity College 



Shell-deposits formed by the flood of January, 1918. By Philip Lake, M.A. 

 St John's CoUege 



75 the Madreporarian Skeleton an Extraptrotoplasmic Secretion of th 

 Polyps? By G. Matthai, M.A., Emmanuel College, Cambridge, 

 (Communicated by Professor Stanley Gardiner) . 



On Reactions to Stimidi iii Corals. By G. Matthai, M.A., Emmanuel Col- 

 lege, Cambridge. (Communicated by Professor Stanley Gardiner) 



Notes on certain parasites, food, and capture by birds of the Common Earwig 

 (Forficula auricularia). By H. H. Brindley, M.A., St John's College 



Reciprocal Relations in the Them-y of Integral Equations. By ]\Iajor P. A. 

 MacMahon and H. B. C. Darling 



Fish-freezing. By Professor Stanley Gardiner and Professor Nuttall 



On the branching of the Zygopteridean Leaf, and its relation to the probable 

 Pinna-nature of Gp'opteris sinuosa, Goeppert. By B. Sahni, M.A. 

 Emmanuel CoUege. (Communicated by Professor Seward) 



The Structure of Tmesipteris Vieillardi Dang. By B. Sahni, M.A. 

 Emmanuel CoUege. (Communicated by Professor Seward) , 



On Acmopyle, a Monotypic New Caledonian Podocarp. By B. Sahni, 

 M.A., Emmanuel CoUege. (Communicated by Professor Seward) 



Proceedings at the Meetings held during the Session 1917 — 1918 . 



On Certai7i Trigonometrical Series which have a Necessary and Sufficient 

 Condition for Uniform Convergence. By A. E. Jolliffe. (Com- 

 municated by Mr G. H. Hardy) 



Some Geometrical Interpretations of the Concomitants of Two Quadrics. 

 By H. W. TxjRNBULL, M.A. (Communicated by Mr G. H. Hardy) . 



Some properties of p (n), the number of partitions of n. By S. Ramanujan, 

 B.A., Trinity CoUege 



Proof of certain identities in combinatory analysis: (1) by Professor L. J. 

 Rogers; (2) by S. Ramanujan, B.A., Trinity CoUege. (Communi- 

 cated, with a prefatory note, by JVIr G. H. Hardy) .... 



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186 

 186 



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 207 



211 



