English

Hecke eigenform and double Eisenstein series

Number Theory 2019-04-23 v3

Abstract

Cusp forms for the full modular group can be written as linear combination of double Eisenstein series introduced by Gangl, Kaneko and Zagier. We give an explicit formula for decomposing a Hecke eigenform into double Eisenstein series.

Keywords

Cite

@article{arxiv.1811.03887,
  title  = {Hecke eigenform and double Eisenstein series},
  author = {Koji Tasaka},
  journal= {arXiv preprint arXiv:1811.03887},
  year   = {2019}
}

Comments

7 pages; I made some minor changes

R2 v1 2026-06-23T05:10:14.690Z