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

Fuente: arXiv
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Autore principale: Nguyen, Dac-Nhan-Tam
Natura: Preprint
Pubblicazione: 2025
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author Nguyen, Dac-Nhan-Tam
author_facet Nguyen, Dac-Nhan-Tam
contents We give a precise, computable formula for comparing $λ$-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.
format Preprint
id arxiv_https___arxiv_org_abs_2510_12890
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On $λ$-invariants of congruent modular forms in the anticyclotomic, indefinite setting
Nguyen, Dac-Nhan-Tam
Number Theory
11R23 (Primary) 11G40 (Secondary)
We give a precise, computable formula for comparing $λ$-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.
title On $λ$-invariants of congruent modular forms in the anticyclotomic, indefinite setting
topic Number Theory
11R23 (Primary) 11G40 (Secondary)
url https://arxiv.org/abs/2510.12890