Polyharmonic Maass forms for \text PSL(2,\mathbb Z)

2015/08/11 by Jeffrey C. Lagarias, Robert C. Rhoades
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #Combinatorics #Mathematics #PSL #Pure mathematics #math.AP #math.NT

paper · pdf · doi:10.1007/s11139-015-9729-1

published as Ramanujan Journal 41 (2016), 191--232 · 36 pages

arxiv created 2015/08/11 · openalex publication_date 2016/03/07 · openalex created_date 2016/06/24 · arxiv updated 2016/12/13 · openalex updated_date 2026/08/05

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 ∂/∂ s in this theory.

Citations

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