Transformation formula of the "second" order mock theta function

Kazuhiro Hikami

doi:10.1007/s11005-005-0039-1

Transformation formula of the "second" order mock theta function

Kazuhiro Hikami

Research output: Contribution to journal › Article › peer-review

20 Citations (Scopus)

Abstract

We give a transformation formula for the "second order" mock theta function D₅(q)= ∑_n=0^∞ (-q)n/(q;q²)_n+1 qⁿ which was recently proposed in connection with the quantum invariant for the Seifert manifold.

Original language	English
Pages (from-to)	93-98
Number of pages	6
Journal	Letters in Mathematical Physics
Volume	75
Issue number	1
DOIs	https://doi.org/10.1007/s11005-005-0039-1
Publication status	Published - Jan 2006
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s11005-005-0039-1

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abstract = "We give a transformation formula for the {"}second order{"} mock theta function D5(q)= ∑n=0∞ (-q)n/(q;q2)n+1 qn which was recently proposed in connection with the quantum invariant for the Seifert manifold.",

author = "Kazuhiro Hikami",

note = "Funding Information: This work is supported in part by the Grant-in-Aid for Young Scientists from the Ministry of Education, Culture, Sports, Science and Technology of Japan.",

year = "2006",

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doi = "10.1007/s11005-005-0039-1",

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AB - We give a transformation formula for the "second order" mock theta function D5(q)= ∑n=0∞ (-q)n/(q;q2)n+1 qn which was recently proposed in connection with the quantum invariant for the Seifert manifold.

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Transformation formula of the "second" order mock theta function

Abstract

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