@article{oai:muroran-it.repo.nii.ac.jp:00007189, author = {Katsurada, Hidenori and 桂田, 英典 and KAWAMURA, Hisa-aki and 河村, 尚明}, issue = {5}, journal = {Proceedings of the London Mathematical Society. Ser. 3}, month = {}, note = {application/pdf, Let k and n be positive even integers. For a cuspidal Hecke eigenform h in the Kohnen plus space of weight k - n/2 + 1/2 for Γ0(4), let In(h) be the Duke-Imamoglu-Ikeda lift of h in the space of cusp forms of weight k for Spn(Z), and f the primitive form of weight 2k - n for SL2(Z) corresponding to h under the Shimura correspondence. We then express the ratio / of the period of In(h) to that of h in terms of special values of certain L-functions of f. This proves the conjecture proposed by Ikeda concerning the period of the Duke-Imamoglu-Ikeda lift.}, pages = {445--483}, title = {Ikeda's conjecture on the period of the Duke-Imamoglu-Ikeda lift}, volume = {111}, year = {2015}, yomi = {カツラダ, ヒデノリ and カワムラ, ヒサアキ} }