Mock Jacobi forms in basic hypergeometric series
2009 ◽
Vol 145
(03)
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pp. 553-565
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Keyword(s):
AbstractWe show that someq-series such as universal mock theta functions are linear sums of theta quotients and mock Jacobi forms of weight 1/2, which become holomorphic parts of real analytic modular forms when they are restricted to torsion points and multiplied by suitable powers ofq. We also prove that certain linear sums ofq-series are weakly holomorphic modular forms of weight 1/2 due to annihilation of mock Jacobi forms or completion by mock Jacobi forms. As an application, we obtain a relation between the rank and crank of a partition.
2013 ◽
Vol 65
(3)
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pp. 781-805
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2014 ◽
Vol 158
(1)
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pp. 111-129
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1966 ◽
Vol 17
(1)
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pp. 64-80
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Keyword(s):
1966 ◽
Vol 17
(1)
◽
pp. 132-143
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Keyword(s):
2011 ◽
Vol 07
(03)
◽
pp. 825-833
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Keyword(s):
1967 ◽
Vol 63
(3)
◽
pp. 727-734
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