Collected papers of Srinivasa Ramanujan

By: Srinivasa RamanujanContributor(s): Edited by Hardy, G. H | Aiyar, P.V. Seshu | Willson, B. MMaterial type: TextTextPublication details: Rhode Island: American Mathematical Society, [c1927]Description: 426 pISBN: 9781470409180Subject(s): MathematicsLOC classification: QA3
Contents:
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 π 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 sums and their applications in the theory of numbers 22. Some definite integrals 23. Some definite integrals 24. A proof of Bertrand's postulate 25. Some properties of p (n), the number of partitions of n 26. Proof of certain identities in combinatory analysis 27. A class of definite integrals 28. Congruence properties of partitions 29. Algebraic relations between certain infinite products 30. Congruence properties of partitions 29. Algebraic relations between certain infinite products 30. Congruence properties of partitions Part II. Papers Written in Collaboration with G. H. Hardy: 31. Une formule asymptotique pour le nombre des partitions de n 32. Proof that almost all numbers n are composed of about log log n prime factors 33. Asymptotic formulae in combinatory analysis 34. Asymptotic formulae for the distribution of integers of various types 35. The normal number of prime factors of a number n 36. Asymptotic formulae in combinatory analysis 37. On the coefficients in the expansions of certain modular functions
Summary: This book presents the collected papers of the renowned Indian mathematician Srinivasa Ramanujan (1887–1920), with editorial contributions from G. H. Hardy (1877–1947). 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.
Tags from this library: No tags from this library for this title. Log in to add tags.
    Average rating: 0.0 (0 votes)
Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Mathematic Rack No 3 QA3 (Browse shelf (Opens below)) Available Billno:IN 003 582; Billdate: 2018-01-11 00895
Total holds: 0

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 π
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 sums and their applications in the theory of numbers
22. Some definite integrals
23. Some definite integrals
24. A proof of Bertrand's postulate
25. Some properties of p (n), the number of partitions of n
26. Proof of certain identities in combinatory analysis
27. A class of definite integrals
28. Congruence properties of partitions
29. Algebraic relations between certain infinite products
30. Congruence properties of partitions
29. Algebraic relations between certain infinite products
30. Congruence properties of partitions

Part II. Papers Written in Collaboration with G. H. Hardy:
31. Une formule asymptotique pour le nombre des partitions de n
32. Proof that almost all numbers n are composed of about log log n prime factors
33. Asymptotic formulae in combinatory analysis
34. Asymptotic formulae for the distribution of integers of various types
35. The normal number of prime factors of a number n
36. Asymptotic formulae in combinatory analysis
37. On the coefficients in the expansions of certain modular functions

This book presents the collected papers of the renowned Indian mathematician Srinivasa Ramanujan (1887–1920), with editorial contributions from G. H. Hardy (1877–1947). 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.

There are no comments on this title.

to post a comment.