Affiliation: University of Regina
Email: mcintosh@math.uregina.ca
Title Of Talk: Mordell integrals and mock theta functions
Abstract: The modular transformation formulas for mock theta functions involve Mordell integrals. If two mock theta functions have the same Mordell integrals in their transformation formulas at q and at -q, then they differ by an ordinary theta function. Computer algebra can then be used to find that theta function. This leads to a conjectured relation involving the two mock theta functions. It is not necessary to know the modular transformation formulas. Mordell integrals can often be obtained using asymptotic and numerical methods.
Last update made Thu Nov 11 14:46:54 EST 2004.
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