English

Double zeta values, double Eisenstein series, and modular forms of level 2

Number Theory 2011-12-30 v1

Abstract

We study the double shuffle relations satisfied by the double zeta values of level 2, and introduce the double Eisenstein series of level 2 which satisfy the double shuffle relations. We connect the double Eisenstein series to modular forms of level 2.

Keywords

Cite

@article{arxiv.1112.5697,
  title  = {Double zeta values, double Eisenstein series, and modular forms of level 2},
  author = {Masanobu Kaneko and Koji Tasaka},
  journal= {arXiv preprint arXiv:1112.5697},
  year   = {2011}
}