Mock theta functions

Host Institution:

University of Newcastle (CARMA)

Title of Seminar:

Mock theta functions

Speaker's Name:

Prof Wadim Zudilin

Speaker's Institution:

CARMA, University of Newcastle

Time and Date:

Tuesday 3 September 2013, 3.00pm (AEST)

Seminar Abstract:

In his deathbed letter to G.H. Hardy, Ramanujan gave a vague definition of a mock modular function: at each root of unity its asymptotics matches the one of a modular form, though a choice of the modular function depends on the root of unity. Recently Folsom, Ono and Rhoades have proved an elegant result about the match for a general family related to Dyson’s rank (mock theta) function and the Andrews—Garvan crank (modular) function. In my talk I will outline some heuristics and elementary ingredients of the proof.

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