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ON THE MOCK THETA-FUNCTIONS OF THE THIRD ORDER OF RAMANUJAN
张长贵 教授(法国Lille科技大学数学系)
2018-01-01 12:13  华东师范大学

摘要: In this talk, we consider the mock theta-functions of the third order of Ramanujan from the point-view of the analytic theory of q-difference equations. By using the analytic invariants of the associated functional equations, these special q-series will be canonically decomposed into a linear combination of Appell-Lerch series and Mordell integrals at any given root of unity. As by-product, a uniform complete-asymptotic expansion is obtained for every one of their exponential singularities on the unit circle.