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math.NT2017★ 6 cited
Shifted polyharmonic Maass forms for PSL(2,Z)
Nickolas Andersen, Jeffrey C. Lagarias, Robert C. Rhoades
We study the vector space V_k^m(λ) of shifted polyharmonic Maass forms of weight k \in 2Z, depth m \geq 0, and shift λ\in C. This space is composed of real-analytic modular forms o…
math.NT2017★ 3 cited
A polyharmonic Maass form of depth 3/2 for SL_2(Z)
Scott Ahlgren, Nickolas Andersen, Detchat Samart
Duke, Imamoglu, and Toth constructed a polyharmonic Maass form of level 4 whose Fourier coefficients encode real quadratic class numbers. A more general construction of such forms…