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Bijective Class of Replicator Equations

Mathematical Notes
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Mukhamedov, F. M.   +2 more
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An Extension of Franklin’s Bijection

2001
The author gives a purely combinatorial proof of the identity \[ \prod_{n>m}(1-q^n) = \sum_{n=1}^{\infty} (-1)^n \left[ {n+m \atop m} \right] q^{nm+n(3n+1)/2}(1-q^{2n+m+1}), \] which generalizes Franklin's proof for the case \(m=0\).
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Bijections

1986
Dennis Stanton, Dennis White
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Bijections

2004
Titu Andreescu, Zuming Feng
openaire   +1 more source

Bijection Theorems

2014
Addis, Gezahagne Mulat   +2 more
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