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Li Cai, Jie Shu, Ye Tian, CUBE SUM PROBLEM AND AN EXPLICIT GROSS-ZAGIER FORMULA, American Journal of Mathematics, Vol. 139, No. 3 (June 2017), pp. 785-816 ...
We describe a construction of preimages for the Shimura map on Hilbert modular forms and give an explicit Waldspurger type formula relating their Fourier coefficients to central values of twisted ...