DATE: Tuesday, February 2 (2010), at 12:50pm
PLACE: LIT 305
SPEAKER: Alexander Berkovich
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TITLE:
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Dirichlet Theorem and some simple q-series identities
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ABSTRACT:
I will complete a proof of Dirichlet (1840) Theorem.
I will show then show this theorem can be used to prove that
ΣΣ qn2 + nm + m2
=
1 + 6 Σ jacobi(-3 | n) qn/(1-qn)
where |q|<1
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