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math.NT2017★ 1 cited
Modularity of generating series of winding numbers
Jan H. Bruinier, Jens Funke, Özlem Imamoglu +1
The Shimura correspondence connects modular forms of integral weights and half-integral weights. One of the directions is realized by the Shintani lift, where the inputs are holomo…
math.NT2017
Petersson Norm of Cusp Forms Associated to Real Quadratic Fields
Yingkun Li
In this article, we compute the Petersson norm of a family of weight one cusp forms constructed by Hecke and express it in terms of the Rademacher symbol and the regulator of real…
math.NT2017
Harmonic Eisenstein Series of Weight One
Yingkun Li
In this short note, we will construct a harmonic Eisenstein series of weight one, whose image under the -operator is a weight one Eisenstein series studied by Hecke.