Abstract:In this paper, we prove new cases of Blasius' and Deligne's conjectures on the algebraicity of critical values of tensor product L-functions and symmetric odd power L-functions associated to modular forms. We also prove an algebraicity result on critical values of Rankin-Selberg L-functions for GLn ˆGL 2 in the unbalanced case, which extends the previous results of Furusawa and Morimoto for SOpV q ˆGL 2 . These results are applications of our main result on the algebraicity of ratios of special values of Ranki… Show more
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