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Volumn 75, Issue 1, 2006, Pages 93-98

Transformation formula of the "second" order mock theta function

Author keywords

Mock theta function; q hypergeometric function; Quantum invariant; Seifert manifold

Indexed keywords


EID: 32344448643     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11005-005-0039-1     Document Type: Article
Times cited : (26)

References (15)
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    • Andrews, G.E.1
  • 2
    • 32344432549 scopus 로고
    • Mordell integrals and Ramanujan's "lost" notebook
    • Knopp, M.I. (ed.) Springer, Berlin Heidelberg New York
    • Andrews, G.E.: Mordell integrals and Ramanujan's "lost" notebook. In: Knopp, M.I. (ed.) Analytic number theory, Lecture notes in mathematics vol. 899, pp. 10-48, Springer, Berlin Heidelberg New York (1981)
    • (1981) Analytic Number Theory, Lecture Notes in Mathematics , vol.899 , pp. 10-48
    • Andrews, G.E.1
  • 4
    • 0003213948 scopus 로고
    • Basic hypergeometric series and applications
    • AMS, Providence
    • Fine, N.J.: Basic hypergeometric series and applications. Mathematical survey monographs, no. 27, AMS, Providence (1988)
    • (1988) Mathematical Survey Monographs , vol.27
    • Fine, N.J.1
  • 7
    • 32344431928 scopus 로고    scopus 로고
    • Mock (false) theta functions as quantum invariants
    • Hikami, K.: Mock (false) theta functions as quantum invariants, Regular & Chaotic Dynamics 10, 509-530 (2005)
    • (2005) Regular & Chaotic Dynamics , vol.10 , pp. 509-530
    • Hikami, K.1
  • 8
    • 0012848870 scopus 로고    scopus 로고
    • Modular forms and quantum invariants of 3-manifolds
    • Lawrence, R., Zagier, D.: Modular forms and quantum invariants of 3-manifolds. Asian J Math 3, 93-107 (1999)
    • (1999) Asian J Math , vol.3 , pp. 93-107
    • Lawrence, R.1    Zagier, D.2
  • 9
    • 0000269757 scopus 로고
    • On the 3-dimensional Brieskorn manifolds M(p, q, r)
    • Neuwirth, L.P. (ed.) Princeton University Press, Princeton. papers Dedicated to the Memory of R. H. Fox
    • Milnor, J.: On the 3-dimensional Brieskorn manifolds M(p, q, r). In: Neuwirth, L.P. (ed.) Knots, groups, and 3-manifolds, pp. 175-225, Princeton University Press, Princeton. (1975), papers Dedicated to the Memory of R. H. Fox
    • (1975) Knots, Groups, and 3-manifolds , pp. 175-225
    • Milnor, J.1
  • 11
    • 51249195570 scopus 로고
    • cx+d dx and the analytic theory of numbers
    • cx+d dx and the analytic theory of numbers. Acta Math. 61, 323-360 (1933)
    • (1933) Acta Math. , vol.61 , pp. 323-360
    • Mordell, L.J.1
  • 13
    • 0542373499 scopus 로고
    • Invariants of 3-manifolds via link polynomials and quantum groups
    • Reshetikhin, N.Yu., Turaev, V.G.: Invariants of 3-manifolds via link polynomials and quantum groups. Invent. Math. 103, 547-597 (1991)
    • (1991) Invent. Math. , vol.103 , pp. 547-597
    • Reshetikhin, N.Y.1    Turaev, V.G.2
  • 14
    • 0001952313 scopus 로고
    • The final problem: An account of the mock theta functions
    • Watson, G.N.: The final problem: an account of the mock theta functions. J. London Math. Soc. 11, 55-80 (1936)
    • (1936) J. London Math. Soc. , vol.11 , pp. 55-80
    • Watson, G.N.1
  • 15
    • 14644388676 scopus 로고
    • Quantum field theory and Jones' polynomial
    • Witten, E.: Quantum field theory and Jones' polynomial. Commun. Math. Phys. 121, 351-399 (1989)
    • (1989) Commun. Math. Phys. , vol.121 , pp. 351-399
    • Witten, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.