On the Mock-Theta Behavior of Appell-Lerch Series

speaker: Changgui Zhang (Universite de Lille 1)

abstract: The Ramanujan's mock-theta functions have a ultimate link with Appell-Lerch series. In the talk, we shall consider the Appell-Lerch series of the first order, and study its asymptotic behavior at any given unity root. It will be shown that the quotient of this series and a suitable theta function is a strong mock-theta function in the sense of G.E. Andrews and D. Hickerson .

timetable:
Wed 20 May, 11:00 - 12:00, Aula Dini
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