初等数论讲义

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1、初等数论讲义张起帆1唯一分解定理7第一讲唯一分解定理的证明及简单应用......................................................................................71.1带余除法..................................................................................................................................71.2同余语言的引进...................

2、....................................................................................................81.3唯一分解定理及证明...............................................................................................................81.4应用举例........................................................

3、..........................................................................91.5进一步的思考.........................................................................................................................10第二讲一些数论问题........................................................................

4、............................................101.6Eratosthenes筛法................................................................................................................101.7一次不定方程......................................................................................................

5、...................111.8Fermat数与Mersenne数...................................................................................................122同余式13第三讲周期问题............................................................................................................................132.1同余的概

6、念及基本性质.........................................................................................................132.2周期........................................................................................................................................14第四讲孙子定理及应用......................

7、..........................................................................................152.3Wilson定理...........................................................................................................................152.4孙子定理.....................................