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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)
2014年6月23日 10:00-11:00  闵行校区数学楼102室
 
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.
   
 
 
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