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arXiv · 1508.02652

Polyharmonic Maass forms for PSL(2, Z)

Jeffrey C. Lagarias·Robert C. Rhoades
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Abstract

We discuss polyharmonic Maass forms of even integer weight on PSL(2, Z)\H, which are a generalization of classical Maass forms. We explain the role of real-analytic Eisenstein series E_k(z, s) and the differential operator $\partial/\partial s$ in this theory.

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Jeffrey C. Lagarias, Robert C. Rhoades. 2015-08-11. Polyharmonic Maass forms for PSL(2, Z). https://doi.org/10.1007/s11139-015-9729-1

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