Suggestion or handout for (generating + roots of unity filter)

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Hi is there any handout suggestion for generating +roi since the topic is kind of advanced like calculus but pretty useful in the math olympiad

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The exercises in Wilf's Generatingfunctionology are quite good -- in particular, there are exercises at the end of Chapter 2 on the roots of unity filter. For something more specifically geared towards competition math, you might try Qiaochu Yuan's Topics in Generating Functions. Here section 6 is on the roots of unity filter, and there's a number of exercises following it.


I hope this helps ^_^