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Ramanujan's lost notebook(Part IV) / George E. Andrews.

By: Material type: TextTextLanguage: English Publication details: New York : Springer, ©2013.Description: pages cmISBN:
  • 9783319778327
  • 9781493976270
Subject(s): DDC classification:
  • 515.984 AND
Contents:
1. Introduction -- 2. Double series of Bessel functions and the circle and divisor problems -- 3. Koshliakov's formula and Guinand's formula -- 4. Theorems featuring the gamma function -- 5. Hypergeometric series -- 6. Two partial manuscripts on Euler's constant y -- 7. Problems in diophantine approximation -- 8. Number theory -- 9. Divisor sums -- 10. Identities related to the Riemann zeta function and periodic zeta functions -- 11. Two partial unpublished manuscripts on sums involving primes -- 12. An unpublished manuscript of Ramanujan on infinite series identities -- 13. A partial manuscript on Fourier and Laplace transforms -- 14. Integral analogues of theta functions and Gauss sums -- 15. Functional equations for products of Mellin transforms -- 16. A preliminary version of Ramanujan's paper "On the product [mathematical equation]" -- 17. A preliminary version of Ramanujan's paper "On the integral [mathematical equation]" -- 18. A partial manuscript connected with Ramanujan's paper "Some definite integrals" -- 19. Miscellaneous results in analysis -- 20. Elementary results -- 21. A strange, enigmatic partial manuscript.
List(s) this item appears in: Weekly Addition
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Holdings
Item type Current library Collection Call number Status Date due Barcode
General Books General Books CUTN Central Library Sciences Non-fiction 515.984 AND (Browse shelf(Opens below)) Available 37701

1. Introduction --
2. Double series of Bessel functions and the circle and divisor problems --
3. Koshliakov's formula and Guinand's formula --
4. Theorems featuring the gamma function --
5. Hypergeometric series --
6. Two partial manuscripts on Euler's constant y --
7. Problems in diophantine approximation --
8. Number theory --
9. Divisor sums --
10. Identities related to the Riemann zeta function and periodic zeta functions --
11. Two partial unpublished manuscripts on sums involving primes --
12. An unpublished manuscript of Ramanujan on infinite series identities --
13. A partial manuscript on Fourier and Laplace transforms --
14. Integral analogues of theta functions and Gauss sums --
15. Functional equations for products of Mellin transforms --
16. A preliminary version of Ramanujan's paper "On the product [mathematical equation]" --
17. A preliminary version of Ramanujan's paper "On the integral [mathematical equation]" --
18. A partial manuscript connected with Ramanujan's paper "Some definite integrals" --
19. Miscellaneous results in analysis --
20. Elementary results --
21. A strange, enigmatic partial manuscript.

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