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Radial Limits of a universal mock theta function

Posted in
Speaker: 
Min-Joo Jang and Steffen Loebrich
Affiliation: 
(both U Cologne)
Date: 
Wed, 02/09/2015 - 14:15 - 15:00
Location: 
MPIM Lecture Hall

In his last letter to Hardy, Ramanujan provided 17 examples
for what he called a "mock theta function". These are given by
q-hypergeometric series that have the same growth behavior as classical
modular forms as one radially approaches roots of unity from within the
unit disc.
             We find explicit formulas for radial limits of a universal
mock theta function, which can express every mock theta function.

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