Published works of Srinivasa Ramanujan
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Some properties of Bernoulli’s numbers
Journal of the Indian Mathematical Society, III, 1911, 219 – 234
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On question 330 of Professor Sanjana
Journal of the Indian Mathematical Society, IV, 1912, 59 – 61
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Note on a set of simultaneous equations
Journal of the Indian Mathematical Society, IV, 1912, 94 – 96
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Irregular numbers
Journal of the Indian Mathematical Society, V, 1913, 105 – 106
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Squaring the circle
Journal of the Indian Mathematical Society, V, 1913, 132
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Modular equations and approximations to \(\pi\)
Quarterly Journal of Mathematics, XLV, 1914, 350 – 372
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On the integral \(\int\limits^x_0\frac{\tan^{-1}t}{t}\,dt\)
Journal of the Indian Mathematical Society, VII,1915, 93 – 96
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On the number of divisors of a number
Journal of the Indian Mathematical Society, VII, 1915, 131 – 133
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On the sum of the square roots of the first \(n\) natural numbers
Journal of the Indian Mathematical Society, VII, 1915, 173 – 175
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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
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Some definite integrals
Messenger of Mathematics, XLIV, 1915, 10 – 18
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Some definite integrals connected with Gauss’s sums
Messenger of Mathematics, XLIV, 1915, 75 – 85
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Summation of a certain series
Messenger of Mathematics, XLIV, 1915, 157 – 160
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New expressions for Riemann’s functions \(\xi(s)\) and \(\Xi(t)\)
Quarterly Journal of Mathematics, XLVI, 1915, 253 – 260
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Highly composite numbers
Proceedings of the London Mathematical Society, 2, XIV, 1915, 347 – 409
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On certain infinite series
Messenger of Mathematics, XLV, 1916, 11 – 15
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Some formulæ in the analytic theory of numbers
Messenger of Mathematics, XLV, 1916, 81 – 84
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On certain arithmetical functions
Transactions of the Cambridge Philosophical Society, XXII, No.9, 1916, 159 – 184
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A series for Euler’s constant \(\gamma\)
Messenger of Mathematics, XLVI, 1917, 73 – 80
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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
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On certain trigonometrical sums and their applications in the theory of numbers
Transactions of the Cambridge Philosophical Society, XXII, No.13, 1918, 259 – 276
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Some definite integrals
Proceedings of the London Mathematical Society, 2, XVII, 1918,Records for 17 Jan. 1918
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Some definite integrals
Journal of the Indian Mathematical Society, XI, 1919, 81 – 87
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A proof of Bertrand’s postulate
Journal of the Indian Mathematical Society, XI, 1919, 181 – 182
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Some properties of \(p(n)\), the number of partitions of \(n\)
Proceedings of the Cambridge Philosophical Society, XIX, 1919, 207 – 210
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Proof of certain identities in combinatory analysis
Proceedings of the Cambridge Philosophical Society, XIX, 1919,214 – 216
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A class of definite integrals
Quarterly Journal of Mathematics, XLVIII, 1920, 294 – 310
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Congruence properties of partitions
Proceedings of the London Mathematical Society, 2, XVIII, 1920, Records for 13 March 1919
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Algebraic relations between certain infinite products
Proceedings of the London Mathematical Society, 2, XVIII, 1920, Records for 13 March 1919
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Congruence properties of partitions
Mathematische Zeitschrift, IX, 1921, 147 – 153
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Une formule asymptotique pour le nombre des partitions de \(n\)
(written in collaboration with G. H. Hardy)
Comptes Rendus, 2 Jan. 1917
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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
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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
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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
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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
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Asymptotic formulæ in combinatory analysis
(written in collaboration with G. H. Hardy)
Proceedings of the London Mathematical Society, 2, XVII, 1918, 75 – 115
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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