During his five year stay in Cambridge, Ramanujan published twenty
one research papers containing theorems on definite integral,
modular equations, Riemann’s zeta function, infinite series,
summation of series, analytic number theory, asymptotic formulae,
modular functions, partitions and combinatorial analysis. His
paper entitled Highly Composite Numbers which appeared in the
Journal of the London Mathematical Society, in 1915, is 62 pages
long and contains 269 equations. This is his longest paper. The
London Mathematical Society has some financial difficulties at
that time and Ramanujan was requested to reduce the length of
his paper to save printing expenses. Five of these 21 research
papers were in collaboration with Hardy. Ramanujan also published
five short notes in the Records of Proceedings at meetings of
the London Mathematical Society and six more in the journal of
the Indian Mathematical Society.