Collected papers of Srinivasa Ramanujan

Some properties of Bernoulli's numbers On Question 330 of Prof. Sanjana Note on a set of simultaneous equations Irregular numbers Squaring the circle Modular equations and approximations to On the integral ˣ₀^-1t tdt On the number of divisors of a number On the sum of the square roots of the first n natural numbers On the product ^n=₍=₀1+ (x a+nd) ³ Some definite integrals Some definite integrals connected with Gauss's sums Summation of a certain series New expressions for Riemann's functions (s) and (t) Highly composite numbers On certain infinite series Some formulae in the analytic theory of numbers On certain arithmetical functions A series for Euler's constant On the expression of a number in the form ax² + by² + cz² +du² On certain trigonometrical sums and their applications in the theory of numbers Some definite integrals Some definite integrals A proof of Bertrand's postulate Some properties of p (n), the number of partitions of n Proof of certain identities in combinatory analysis A class of definite integrals Congruence properties of partitions Algebraic relations between certain infinite products Congruence properties of partitions Une formule asymptotique pour le nombre des partitions de n Proof that almost all numbers n are composed of about n prime factors Asymptotic formulae in combinatory analysis Asymptotic formulae for the distribution of integers of various type The normal number of prime factors of a numbers n Asymptotic formulae in combinatory analysis On the coefficients in the expansions of certain modular functions Questions and solutions Appendix I: Notes on the papers Appendix II: Further extracts from Ramanujan's letters to G. H. Hardy.