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On a new type of functional equations of infinite products

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B. Heim
GuTech, Oman/z.Z. MPI
Mit, 09/02/2011 - 11:15 - 12:15
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

Generating series introduced by Euler turned out to be very useful for studying problems in number theory. Sometimes these series can be written as infinite products. This happens for example in the case of pentagonal, partition and Ramanujan (tau) numbers. In this talk we prove a converse theorem related to the underlying question: when can an infinite sum be written as an infinite product. (joint work with Murase)

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