Modularity of the Rankin-Selberg L-Series, and Multiplicity One for SL(2)
Modularity of the Rankin-Selberg L-Series, and Multiplicity One for SL(2)
Let f, g be primitive cusp forms, holomorphic or otherwise, on the upper half-plane H of levels N,M respectively, with (unitarily normalized) L-functions L(s, f) = [equation] and L(s, g) = [equation]. When p does not divide N (resp. M), the inverse roots αp, βp (resp. α′p, β′p ) are …