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

@article{Harris2017PeriodRA,
title={Period Relations and Special Values of Rankin-Selberg L-Functions},
author={Michael Harris and Jiezhu Lin},
journal={arXiv: Number Theory},
year={2017},
pages={235-264}
}
• Published 26 August 2016
• Mathematics
• 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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