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On the asymptotic behavior of rank generating functions near a root of unity
2018-07-04 00:00:00

报告题目:

On the asymptotic behavior of rank generating functions near a root of unity

报 告 人:

张长贵 教授(法国里尔大学)

报告时间:

2018年07月06日 16:00--17:00

报告地点:

理学院东北楼四楼报告厅(404)

报告摘要:

Following Hardy, a Ramanujan mock $vartheta$-function is a function defined by a $q$-series convergent when $|q|<1 $, for which we can calculate asymptotic formulae, when $q$ tends to a ``rational point'' $e^{2rpi i/s}$ of the unit circle, of the same degree of precision as those furnished for the ordinary $vartheta$-functions by the theory of linear transformation. in our talk, we try to explain how to get the asymptotic behavior of third order mock theta functions, using mordell integrals and lerch series.