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arxiv: 1508.02652 · v1 · pith:SBEWKVQFnew · submitted 2015-08-11 · 🧮 math.AP · math.NT

Polyharmonic Maass forms for PSL(2, Z)

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keywords formsmaasspartialpolyharmonicclassicaldifferentialdiscusseisenstein
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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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