科学研究
报告题目:

Power partitions and saddle-point method

报告人:

吴杰 特级研究员(法国国家科学研究中心(CNRS))

报告时间:

报告地点:

腾讯会议 ID 243 102 755

报告摘要:

For $k\geqslant 1$, denote by $p_k(n)$ the number of partitions of an integer $n$ into $k$-th powers. Very recently, G\'erald Tenenbaum, Jie Wu & Yali applied the saddle-point method to provide a new proof for the well-known asymptotic expansion of $p_k(n)$. This approach turns out to significantly simplify those of Hardy-Ramanujan (1918), Wright (1934), Vaughan (2015) and Gafni (2016). In this talk, we shall present this work with some historical description. This is a joint work with G. Tenenbaum & Yali Li.

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