English

On $\lambda$-invariants of congruent modular forms in the anticyclotomic, indefinite setting

Number Theory 2025-10-16 v1

Abstract

We give a precise, computable formula for comparing λ\lambda-invariants between modular forms in the anticyclotomic indefinite setting where the Selmer groups have positive rank. This is an improvement of Hatley-Lei \cite{HL19, HL21} where the authors give a formula with incomputable error terms.

Keywords

Cite

@article{arxiv.2510.12890,
  title  = {On $\lambda$-invariants of congruent modular forms in the anticyclotomic, indefinite setting},
  author = {Dac-Nhan-Tam Nguyen},
  journal= {arXiv preprint arXiv:2510.12890},
  year   = {2025}
}