Polyharmonic Maass forms for $$text {PSL}(2,{mathbb Z})$$ |
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| Authors: | Jeffrey C. Lagarias Robert C. Rhoades |
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| Affiliation: | 1.Department of Mathematics,The University of Michigan,Ann Arbor,USA;2.Center for Communications Research,Princeton,USA |
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| Abstract: | We discuss the space of polyharmonic Maass forms of even integer weight on (text {PSL}(2,mathbb Z)backslash mathbb H). We explain the role of the real-analytic Eisenstein series (E_k(z,s)) and the differential operator (frac{partial }{partial s}) in this theory. |
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