Collected Papers of Srinivasa Ramanujan [Paperback]

Originally published in 1927, this book presents the collected papers of the renowned Indian mathematician Srinivasa Ramanujan (18871920).Originally published in 1927, this book presents the collected papers of the renowned Indian mathematician Srinivasa Ramanujan (18871920), with editorial contributions from G. H. Hardy (18771947). Detailed notes are incorporated throughout and appendices are also included.Originally published in 1927, this book presents the collected papers of the renowned Indian mathematician Srinivasa Ramanujan (18871920), with editorial contributions from G. H. Hardy (18771947). Detailed notes are incorporated throughout and appendices are also included.Originally published in 1927, this book presents the collected papers of the renowned Indian mathematician Srinivasa Ramanujan (18871920), with editorial contributions from G. H. Hardy (18771947). Detailed notes are incorporated throughout and appendices are also included. This book will be of value to anyone with an interest in the works of Ramanujan and the history of mathematics.Preface; Notice P. V. Seshu and R. Bamachaundra Rao; Notice G. H. Hardy; Part I. Papers: 1. Some properties of Bernoulli's numbers; 2. On question 330 of Prof. Sanjana; 3. Note on a set of simultaneous equations; 4. Irregular numbers; 5. Squaring the circle; 6. Modular equations and approximations to ?; 7. On the integral [...]; 8. On the number of divisors of a number; 9. On the sum of the square roots of the first n natural numbers; 10. On the product [...]; 11. Some definite integrals; 12. Some definite integrals connected with Gauss's sums; 13. Summation of a certain series; 14. New expression for Riemann's functions [...]; 15. Highly composite numbers; 16. On certain infinite series; 17. Some formulae in the analytic theory of numbers; 18. On certain arithmetical functions; 19. A series of Euler's constant y; 20. On the expression of a number in the form of ax2+by2+cz2+du2; 21. On certain trigonometrical slc8