Beilinson's Theorem on Modular Curves

  title={Beilinson's Theorem on Modular Curves},
  author={Norbert Schappacher and Anthony J. Scholl},
0. Introduction. The purpose of this chapter is to give a detailed account of the known evidence ([Be1], §5) for Beilinson’s conjecture concerning the values at s = 2 of L-functions of modular forms of weight two. We do not discuss here the results concerning the L-values at other integers s ≥ 2 (for which see [Be2]), nor do we treat the case of the product of two modular curves (also to be found in [Be1]). On the whole we follow the method of Beilinson, apart from two differences. Firstly, we… CONTINUE READING

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