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Tables of Contents for Collected Papers of Srinivasa Ramanujan
Chapter/Section Title
Page #
Page Count
Preface
ix
Notice
xi
P. V. Seshu Aiyar
R. Bamachaundra Rao
Notice
xxi
G. H. Hardy
Preface to the Third Printing
xxxvii
Bruce C. Berndt
PAPERS:
Some properties of Bernoulli's numbers
1
14
Journal of the Indian Mathematical Society, 3 (1911), 219--234
On Question 330 of Prof. Sanjana
15
3
Journal of the Indian Mathematical Society, 4 (1912), 59--61
Note on a set of simultaneous equations
18
2
Journal of the Indian Mathematical Society, 4 (1912), 94--96
Irregular numbers
20
2
Journal of the Indian Mathematical Society, 5 (1913), 105--106
Squaring the circle
22
1
Journal of the Indian Mathematical Society, 5 (1913), 132
Modular equations and approximations to π
23
17
Quarterly Journal of Mathematics, 45 (1914), 350--372
On the integral
40
4
Journal of the Indian Mathematical Society, 7 (1915), 93--96
On the number of divisors of a number
44
3
Journal of the Indian Mathematical Society, 7 (1915), 131--133
On the sum of the square roots of the first n natural numbers
47
3
Journal of the Indian Mathematical Society, 7 (1915), 173--175
On the product
50
3
Journal of the Indian Mathematical Society, 7 (1915), 209--211
Some definite integrals
53
6
Messenger of Mathematics, 44 (1915), 10--18
Some definite integrals connected with Gauss's sums
59
9
Messenger of Mathematics, 44 (1915), 75--85
Summation of a certain series
68
4
Messenger of Mathematics, 44 (1915), 157--160
New expressions for Riemann's functions ξ(s) and (t)
72
6
Quarterly Journal of Mathematics, 46 (1915), 153--260
Highly composite numbers
78
51
Proceedings of the London Mathematical Society, 2, 14 (1915), 347--409
On certain infinite series
129
4
Messenger of Mathematics, 45 (1916), 11--15
Some formulæ in the analytic theory of numbers
133
3
Messenger of Mathematics, 45 (1916), 81--84
On certain arithmetical functions
136
27
Transactions of the Cambridge Philosophical Society, 22, No. 9 (1916), 159--184
A series for Euler's constant γ
163
6
Messenger of Mathematics, 46 (1917), 73--80
On the expression of a number in the form ax2+by2+cz2+du2
169
10
Proceedings of the Cambridge Philosophical Society, 19 (1917), 11--21
On certain trigonometrical sums and their applications in the theory of numbers
179
21
Transactions of the Cambridge Philosophical Society, 22, No. 13 (1918), 259--276
Some definite integrals
200
2
Proceedings of the London Mathematical Society, 2, 17 (1918), Records for 17 Jan. 1918
Some definite integrals
202
6
Journal of the Indian Mathematical Society, 11 (1919), 81--87
A proof of Bertrand's postulate
208
2
Journal of the Indian Mathematical Society, 11 (1919), 181--182
Some properties of p (n), the number of partitions of n
210
4
Proceedings of the Cambridge Philosophical Society, 19 (1919), 207--210
Proof of certain identities in combinatory analysis
214
2
Proceedings of the Cambridge Philosophical Society, 19 (1919), 214--216
A class of definite integrals
216
14
Quarterly Journal of Mathematics, 48 (1920), 294--310
Congruence properties of partitions
230
1
Proceedings of the London Mathematical Society, 2, 18 (1920), Records for 13 March 1919
Algebraic relations between certain infinite products
231
1
Proceedings of the London Mathematical Society, 2, 18 (1920), Records for 13 March 1919
Congruence properties of partitions
232
7
Mathematische Zeitschrift, 9 (1921), 147--153
Une formule asymptotique pour le nombre des partitions de n
239
3
Comptes Rendus, 2 Jan. 1917
Proof that almost all numbers n are composed of about log log n prime factors
242
2
Proceedings of the London Mathematical Society, 2, 16 (1917), Records for 14 Dec. 1916
Asymptotic formulæ in combinatory analysis
244
1
Proceedings of the London Mathematical Society, 2, 16 (1917), Records for 1 March 1917
Asymptotic formulæ for the distribution of integers of various types
245
17
Proceedings of the London Mathematical Society, 2, 16 (1917), 112--132
The normal number of prime factors of a number n
262
14
Quarterly Journal of Mathematics, 48 (1917), 76--92
Asymptotic formulæ in combinatory analysis
276
34
Proceedings of the London Mathematical Society, 2, 17 (1918), 75--115
On the coefficients in the expansions of certain modular functions
310
12
Proceedings of the Royal Society, A, 95 (1918), 144--155
Questions and Solutions
322
13
Appendix I: Notes on the Papers
335
14
Appendix II: Further Extracts from Ramanujan's Letters
349
8
G. H. Hardy
Commentary on Ramanujan's Collected Papers
357
Bruce C. Berndt