Period Relations and Special Values of Rankin-Selberg L-Functions

  title={Period Relations and Special Values of Rankin-Selberg L-Functions},
  author={Michael Harris and Jiezhu Lin},
  journal={arXiv: Number Theory},
This is a survey of recent work on values of Rankin-Selberg L-functions of pairs of cohomological automorphic representations that are critical in Deligne’s sense. The base field is assumed to be a CM field. Deligne’s conjecture is stated in the language of motives over \(\mathbb{Q}\), and expresses the critical values, up to rational factors, as determinants of certain periods of algebraic differentials on a projective algebraic variety over homology classes. The results that can be proved by… 
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