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Let l be an odd prime. We will construct a tower of connected regular Ramanujan graph of degree l+1 from of modular curves. This supplies an example of a collection of graphs whose discrete Cheeger constants are bounded by (sqrt{l}-1)^{2}/2 from below. We also show graph (or Ihara) zeta functions satisfy a certain reciprocity law.

生成讲解博客的中文版本

生成AI智能校验的中文版本