English

Polyharmonic Maass forms for PSL(2, Z)

Analysis of PDEs 2016-12-13 v1 Number Theory

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\partial/\partial s in this theory.

Cite

@article{arxiv.1508.02652,
  title  = {Polyharmonic Maass forms for PSL(2, Z)},
  author = {Jeffrey C. Lagarias and Robert C. Rhoades},
  journal= {arXiv preprint arXiv:1508.02652},
  year   = {2016}
}

Comments

36 pages

R2 v1 2026-06-22T10:31:17.924Z