DATE: Tuesday, March 30 (2010), at 12:50pm
PLACE: LIT 305
SPEAKER:
Alexander Berkovich
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TITLE:
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Two infinite products with positive coefficients
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ABSTRACT:
Let E(q) : = Π (1-q^j).
Consider
E(q4)4/E(q) = Σa(n) qn.
and
E(q4)2 E(q2)3/E(q)2
=
Σ b(n) qn.
I will show that a(n)>0, b(n)>0 for all n.
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