{"id":"79940d2a-f166-4701-bb25-0a28390f1e25","arxiv_id":"2504.12066","paper_version":2,"verdict":"CONDITIONAL","confidence":"LOW","novelty_score":7.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":0,"one_line_summary":"The paper constructs two-variable p-adic Asai and twisted triple product L-functions for finite-slope families of Hilbert modular forms over real quadratic fields.","lead":"Two new p-adic L-functions are defined for finite-slope families of Hilbert modular forms over real quadratic fields, one for the Asai L-function and one for twisted triple products. The Asai part extends earlier ordinary-family work; both parts rely on a newly developed nearly-overconvergent higher Coleman theory.","discovery_kind":"new_method","skeptic_critique":null,"referee_report":null,"author_rebuttal":null,"desk_editor":null,"rs_alignment":null,"lean_confirmation":null,"pith_extraction":null,"created_at":"2026-08-16T12:39:41.280828+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":null,"supporting_citations":[],"review_version":1}