English

Differential equations satisfied by modular forms of level 5

Classical Analysis and ODEs 2020-05-13 v3

Abstract

This paper describes the derivation of the level 5 versions of Ramanujan's system of ordinary differential equations satisfied by the Eisenstein series, E2(q),E4(q)E_2(q),E_4(q), and E6(q).E_6(q).

Cite

@article{arxiv.1610.06849,
  title  = {Differential equations satisfied by modular forms of level 5},
  author = {Kazuhide Matsuda},
  journal= {arXiv preprint arXiv:1610.06849},
  year   = {2020}
}

Comments

arXiv admin note: text overlap with arXiv:1609.07481. text overlap with arXiv:1508.05838

R2 v1 2026-06-22T16:27:55.270Z