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math.NT2024
Period functions for vector-valued Maass cusp forms of real weight, with an application to Jacobi Maass cusp forms
Anke Pohl, YoungJu Choie, Roelof Bruggeman
For vector-valued Maass cusp forms for~ with real weight~ and spectral parameter , , …
math.NT2024
On Rankin-Cohen Brackets of Hecke Eigenforms and Modular Forms of Half-Integral Weight
YoungJu Choie, Winfried Kohnen, Yichao Zhang
We generalize the linear relation formula between the square of normalized Hecke eigenforms of weight and normalized Hecke eigenforms of weight , to Rankin-Cohen brackets o…
math.NT2024
Twisted Kronecker series and periods of modular forms on
Clifford Blakestad, YoungJu Choie
We introduce an infinite family of Kronecker series twisted by characters. As an application, we give a closed formula for the sum of all Hecke eigenforms on multiplied b…