English

On the Bloch--Kato conjecture for the symmetric cube

Number Theory 2023-09-15 v2

Abstract

We prove one inclusion of the Iwasawa Main Conjecture, and the Bloch-Kato conjecture in analytic rank 0, for the symmetric cube of a level 1 modular form.

Cite

@article{arxiv.2005.04786,
  title  = {On the Bloch--Kato conjecture for the symmetric cube},
  author = {David Loeffler and Sarah Livia Zerbes},
  journal= {arXiv preprint arXiv:2005.04786},
  year   = {2023}
}

Comments

3 pages. Revised version, to appear in J Eur Math Soc

R2 v1 2026-06-23T15:26:30.068Z