Distribution of $m$-core Partition Functions Modulo $M$

碩士 === 國立中正大學 === 數學研究所 === 92 === In this thesis, we are mainly concerned with the $m$-core partition function of $n$, denoted by $C_m(n)$. Using the methods of modular form, we have proved that for $m \geq 5$ prime, there are infinitely many integers $n$ for which $C_m(n) \equiv r \pmod M$ for eve...

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Bibliographic Details
Main Authors: Shih-Wei Chao, 趙世偉
Other Authors: Wen-Chin Liaw
Format: Others
Language:en_US
Published: 2004
Online Access:http://ndltd.ncl.edu.tw/handle/77814531006962460291