Polyharmonic Maass forms for 1"> h="http://marklogic.com/appservices/search">\(\text {PSL}(2,{\mathbb Z})\)

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• 作者：Jeffrey C. Lagarias ; Robert C. Rhoades
• 关键词：Modular forms ; Polyharmonic ; Harmonic ; Maass forms
• 刊名：The Ramanujan Journal
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：41
• 期：1-3
• 页码：191-232
• 全文大小：767 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Number Theory
  Field Theory and Polynomials
  Combinatorics
  Fourier Analysis
  Functions of a Complex Variable
  
• 出版者：Springer U.S.
• ISSN：1572-9303
• 卷排序：41

文摘

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.