@article{oai:muroran-it.repo.nii.ac.jp:00008937, author = {Katsurada, Hidenori and 桂田, 英典 and TAKEMORI, Sho and 竹森, 翔}, issue = {3}, journal = {Experimental Mathematics}, month = {}, note = {application/pdf, For a primitive form f of weight k for SL2(Z), let KS(f) be the Kim-Ramakrishnan-Shahidi (K-R-S) lift of f to the space of cusp forms of weight det(k+1)circle times Sym(k-2) for Sp(2)(Z). Based on some working hypothesis, we propose a conjecture, which relates the ratio KS(f), KS(f)/< f, f >(3) of the periods (Petersson norms) to the symmetric 6th L-value L(3k - 2, f, Sym(6)) of f. From this, we also propose that a prime ideal dividing the (conjectural) algebraic part L(3k - 2, f, Sym(6)) of L(3k - 2, f, Sym(6)) gives a congruence between the K-R-S lift and non-K-R-S lift, and test this conjecture numerically.}, pages = {332--346}, title = {Congruence Primes of the Kim-Ramakrishnan-Shahidi Lift}, volume = {25}, year = {2016}, yomi = {カツラダ, ヒデノリ and タケモリ, ショウ} }