Combinatorial proof of a partial theta function identity of Warnaar
2016 ◽
Vol 12
(06)
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pp. 1475-1482
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Keyword(s):
By constructing a sign-reversing involution, we prove Warnaar’s identity involving a partial theta function, which plays many important roles in the study of asymptotic behaviors and quantum modularities in number theory. We also obtain an Euler-like theorem for a certain kind of unimodal sequences from Warnaar’s identity.
2019 ◽
Vol 23
(3-4)
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pp. 579-588
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Keyword(s):
2012 ◽
Vol 132
(12)
◽
pp. 2955-2966
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2007 ◽
Vol 03
(01)
◽
pp. 43-84
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2011 ◽
Vol 07
(07)
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pp. 1945-1957
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2016 ◽
Vol 27
(5)
◽
pp. 365-370
2004 ◽
Vol 357
(2)
◽
pp. 825-835
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2009 ◽
Vol 05
(08)
◽
pp. 1477-1488
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Keyword(s):