Published works of Srinivasa Ramanujan
1. Some properties of Bernoulli’s numbers
Journal of the Indian Mathematical Society, III, 1911, 219 – 234
2. On question 330 of Professor Sanjana
Journal of the Indian Mathematical Society, IV, 1912, 59 – 61
3. Note on a set of simultaneous equations
Journal of the Indian Mathematical Society, IV, 1912, 94 – 96
4. Irregular numbers
Journal of the Indian Mathematical Society, V, 1913, 105 – 106
5. Squaring the circle
Journal of the Indian Mathematical Society, V, 1913, 132
6. Modular equations and approximations to $$\pi$$
Quarterly Journal of Mathematics, XLV, 1914, 350 – 372
7. On the integral $$\int\limits^x_0\frac{\tan^{-1}t}{t}\,dt$$
Journal of the Indian Mathematical Society, VII,1915, 93 – 96
8. On the number of divisors of a number
Journal of the Indian Mathematical Society, VII, 1915, 131 – 133
9. On the sum of the square roots of the first $$n$$ natural numbers
Journal of the Indian Mathematical Society, VII, 1915, 173 – 175
10. On the product $$\prod^{n=\infty}_{n=0}\left[1+\left(\frac{x}{a+nd}\right)^3\right]$$
Journal of the Indian Mathematical Society, VII, 1915, 209 – 211
11. Some definite integrals
Messenger of Mathematics, XLIV, 1915, 10 – 18
12. Some definite integrals connected with Gauss’s sums
Messenger of Mathematics, XLIV, 1915, 75 – 85
13. Summation of a certain series
Messenger of Mathematics, XLIV, 1915, 157 – 160
14. New expressions for Riemann’s functions $$\xi(s)$$ and $$\Xi(t)$$
Quarterly Journal of Mathematics, XLVI, 1915, 253 – 260
15. Highly composite numbers
Proceedings of the London Mathematical Society, 2, XIV, 1915, 347 – 409
16. On certain infinite series
Messenger of Mathematics, XLV, 1916, 11 – 15
17. Some formulæ in the analytic theory of numbers
Messenger of Mathematics, XLV, 1916, 81 – 84
18. On certain arithmetical functions
Transactions of the Cambridge Philosophical Society, XXII, No.9, 1916, 159 – 184
19. A series for Euler’s constant $$\gamma$$
Messenger of Mathematics, XLVI, 1917, 73 – 80
20. On the expression of a number in the form $$ax^2+by^2+cz^2+du^2$$
Proceedings of the Cambridge Philosophical Society, XIX, 1917, 11 – 21
21. On certain trigonometrical sums and their applications in the theory of numbers
Transactions of the Cambridge Philosophical Society, XXII, No.13, 1918, 259 – 276
22. Some definite integrals
Proceedings of the London Mathematical Society, 2, XVII, 1918,Records for 17 Jan. 1918
23. Some definite integrals
Journal of the Indian Mathematical Society, XI, 1919, 81 – 87
24. A proof of Bertrand’s postulate
Journal of the Indian Mathematical Society, XI, 1919, 181 – 182
25. Some properties of $$p(n)$$, the number of partitions of $$n$$
Proceedings of the Cambridge Philosophical Society, XIX, 1919, 207 – 210
26. Proof of certain identities in combinatory analysis
Proceedings of the Cambridge Philosophical Society, XIX, 1919,214 – 216
27. A class of definite integrals
Quarterly Journal of Mathematics, XLVIII, 1920, 294 – 310
28. Congruence properties of partitions
Proceedings of the London Mathematical Society, 2, XVIII, 1920, Records for 13 March 1919
29. Algebraic relations between certain infinite products
Proceedings of the London Mathematical Society, 2, XVIII, 1920, Records for 13 March 1919
30. Congruence properties of partitions
Mathematische Zeitschrift, IX, 1921, 147 – 153
31. Une formule asymptotique pour le nombre des partitions de $$n$$
(written in collaboration with G. H. Hardy)
Comptes Rendus, 2 Jan. 1917
32. Proof that almost all numbers $$n$$ are composed of about log log $$n$$ prime factors
(written in collaboration with G. H. Hardy)
Proceedings of the London Mathematical Society, 2, XVI,1917,Records for 14 Dec. 1916
33. Asymptotic formulæ in combinatory analysis
(written in collaboration with G. H. Hardy)
Proceedings of the London Mathematical Society, 2, XVI, 1917, Records for 1 March 1917
34. Asymptotic formulæ for the distribution of integers of various types
(written in collaboration with G. H. Hardy)
Proceedings of the London Mathematical Society, 2, XVI, 1917, 112 – 132
35. The normal number of prime factors of a number $$n$$
(written in collaboration with G. H. Hardy)
Quarterly Journal of Mathematics, XLVIII, 1917, 76 – 92
36. Asymptotic formulæ in combinatory analysis
(written in collaboration with G. H. Hardy)
Proceedings of the London Mathematical Society, 2, XVII, 1918, 75 – 115
37. On the coefficients in the expansions of certain modular functions
(written in collaboration with G. H. Hardy)
Proceedings of the Royal Society, A, XCV, 1919, 144 – 155