Tenth order mock theta functions in Ramanujan's lost notebook

Inventiones Mathematicae

Volumn 136, Issue 3, 1999, Pages 497-569

  Choi, Youn Seo ^a  

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

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033472882     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220050318     Document Type: Article

References (21)

1. [A1] G.E. Andrews: The fifth and seventh order mock theta functions, Trans. Amer. Math. Soc. 293, 113-134 (1986)
2. [A2] G.E. Andrews: Ramanujan's fifth order mock theta functions as constant terms, Ramanujan Revisited (G.E. Andrews, R.A. Askey, B.C. Berndt, K.G. Ramanathan, and R.A. Rankin eds), Academic Press, Boston, 47-56 (1988)
3. [A3] G.E. Andrews: Mock theta functions, Theta Functions Bowdoin 1987, Part 2, Proc. Symp. Pure Math., vol. 49, American Mathematical Society, Providence, RI, 283-298 (1989)
4. [A4] G.E. Andrews, F.G. Garvan: Ramanujan's "lost" notebook. VI: The mock theta conjectures, Adv. Math. 73, 242-255 (1989)
5. [A5] G.E. Andrews, D. Hickerson: Ramanujan's "Lost" Notebook VII: The sixth order mock theta functions, Adv. Math. 89, 60-105 (1991)
6. [B1] W.N. Bailey: Identities of the Rogers-Ramanujan type, Proc. London Math. Soc. (2) 50, 1-10 (1949)
7. [B2] B.C. Berndt: Ramanujan's Notebooks Part III, Springer-Verlag, New York, 1991
8. [B3] B.C. Berndt: Ramanujan's Notebooks Part IV, Springer-Verlag, New York, 1994
9. [B4] B.C. Berndt, R.A. Rankin: Ramanujan: Letters and Commentary, Amer. Math. Soc., Providence, 1995; London Math. Soc., London, 1995
10. [B4] B.C. Berndt, R.A. Rankin: Ramanujan: Letters and Commentary, Amer. Math. Soc., Providence, 1995; London Math. Soc., London, 1995
11. [B5] AJ.F. Biagioli: The construction of modular forms as products of transforms of the Dedkind eta-functions, Acta Arith. 54, 273-300 (1990)
12. [H1] D. Hickerson: A proof of the mock theta conjectures, Invent. Math. 94, 639-660 (1988)
13. [H2] D. Hickerson: On the seventh order mock theta functions, Invent. Math. 94, 661-677 (1988)
14. [KM] M.I. Knopp: Modular Functions in Analytic Number Theory, Chelsea Publishing Co., New York, 1993
15. [NM] M. Newman: Construction and application of a class of modular functions, Proc. London Math. Soc. (3) 7, 334-350 (1957)
16. [R1] S. Ramanujan: Collected Papers, Chelsea, New York, 1962
17. [R2] S. Ramanujan: The Lost Notebook and Other Unpublished papers, Narosa Publishing House, New Delhi, 1988
18. [R3] R.A. Rankin: Modular Forms and Functions, Cambridge University Press, Cambridge, 1977
19. [SB] B. Schoeneberg: Elliptic Modular Functions, Springer-Verlag, New York, 1974
20. [W1] G.N. Watson: The final problem: An account of the mock theta functions, J. London Math. Soc. 11, 55-80 (1936)
21. [W2] G.N. Watson: The mock theta functions (2), Proc. London Math. Soc. 42, 274-304 (1937)