On Ramanujan's continued fraction for (q2;q3) ∞(q; q3)∞

Transactions of the American Mathematical Society

Volumn 355, Issue 6, 2003, Pages 2397-2411

  Andrews, George E ^a   Berndt, Bruce C ^b   Sohn, Jaebum ^c   Yee, Ae Ja ^b   Zaharescu, Alexandru ^b,d  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^c OHIO STATE UNIVERSITY   (United States)

^d INSTITUTE OF MATHEMATICS   (Romania)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037693039     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-02-03155-0     Document Type: Article

References (13)

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2. G. E. Andrews, The Theory of Partitions, Addison-Wesley, Reading, MA, 1976. MR 58:27738
3. G. E. Andrews, An introduction to Ramanujan's "lost" notebook, Amer. Math. Monthly 86 (1979), 89-108. MR 80e:01018
4. G. E. Andrews, A page from Ramanujan's lost notebook, Indian J. Math. 32 (1990), 207-216. MR 92b:11072
5. G. E. Andrews and B. C. Berndt, Ramanujan's Lost Notebook, Part I, Springer-Verlag, New York, to appear.
6. G. E. Andrews, B. C. Berndt, L. Jacobsen, and R. L. Lamphere, The Continued Fractions Found in the Unorganized Portions of Ramanujan's Notebooks, Memoirs Amer. Math. Soc. No. 477, 90 (1992). MR 93f:11008
7. G. E. Andrews, B. C. Berndt, J. Sohn, A. J. Yee, and A. Zaharescu, Continued fractions with three limit points, submitted for publication.
8. B. C. Berndt, Ramanujan's Notebooks, Part V, Springer-Verlag, New York, 1998. MR 99f:11024
9. B. C. Berndt and J. Sohn, Asymptotic formulas for two continued fractions in Ramanujan's lost notebook, J. London Math. Soc. (2) 65 (2002), 271-284.
10. L. Lorentzen and H. Waadeland, Continued Fractions with Applications, North Holland, Amsterdam, 1992. MR 93g:30007
11. S. Ramanujan, Notebooks (2 volumes), Tata Institute of Fundamental Research, Bombay, 1957. MR 20:6340
12. S. Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa, New Delhi, 1988. MR 89j:01078
13. A. Selberg, Über einige arithmetische Identitäten Avh. Norske Vid.-Akad. Oslo I. Mat.-Naturv. Kl, No. 8, (1936), 3-23.