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We describe an efficient method how to reduce the resolution of the relative Thue inequalities \\[ |F(x,y)|\\leq K \\;\\; (x,y\\in Z_M) \\] to the resolution of absolute Thue inequalities of type \\[ |F(x,y)|\\leq k \\;\\; (x,y\\in Z). \\] We illustrate our method with an explicit example."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1810.08407","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-10-19T09:04:41Z","cross_cats_sorted":[],"title_canon_sha256":"94ee122555332cc6fe8931efd0bd74ce47973b9d3d0f31df15031a56446395f7","abstract_canon_sha256":"5112a1f4cc6e8c3d03f63f2c7f339f31b752224c34c963a29242ec80954c4398"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:48.188927Z","signature_b64":"PHMMszlUqzT4AtIVyuGgsRZgEOFhMEa2aW02pNprIIQgznbLxTZHPrNqxmGuFt/oib5OvPjr40Bo1YBT7dkGCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c9ec76d7c9cd84e630058856a9d62b84fd702936c37f34350684b91c784e7648","last_reissued_at":"2026-05-18T00:02:48.188228Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:48.188228Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Totally real Thue inequalities over imaginary quadratic fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Borka Jadrijevi\\'c, Istv\\'an Ga\\'al, L\\'aszl\\'o Remete","submitted_at":"2018-10-19T09:04:41Z","abstract_excerpt":"Let $F(x,y)$ be an irreducible binary form of degree $\\geq 3$ with integer coefficients and with real roots. 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