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Witte's formulation of an equivariant main conjecture (or \"limit theorem\") due to Burns and Greither. This could shed some light on Greenberg's conjecture on the vanishing of the $\\lambda$-invariant of $F_\\infty/F.$"},"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":"1305.6466","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-05-28T12:22:20Z","cross_cats_sorted":[],"title_canon_sha256":"8a3a38e44c90b3edaebaef7eb17d9c018dde4abe009160c98910a7a3be788c3c","abstract_canon_sha256":"8183c86e1f904da12c00e6e61da539aef0c562d65d83cd75f6d6e0e589b555d2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:24:40.681268Z","signature_b64":"txtjzGIWnysS/oG1n+ct9ArNwxMphgzDc3NkDQAB6FYp6psfAjbMW1hqgSsGYrdWcDn+uvPXlfvq43vRQFNiAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"daaebd4d3092d68d3b9589749d2b2456c7c22ac571434c72da3b16f0ade0692f","last_reissued_at":"2026-05-18T03:24:40.680698Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:24:40.680698Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On equivariant characteristic ideals of real classes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Thong Nguyen Quang Do","submitted_at":"2013-05-28T12:22:20Z","abstract_excerpt":"Let $p$ be an odd prime, $F/{\\Bbb Q}$ an abelian totally real number field, $F_\\infty/F$ its cyclotomic ${\\Bbb Z}_p$-extension, $G_\\infty = Gal (F_\\infty / {\\Bbb Q}),$ ${\\Bbb A} = {\\Bbb Z}_p [[G_\\infty]].$\n  We give an explicit description of the equivariant characteristic ideal of $H^2_{Iw} (F_\\infty, {\\Bbb Z}_p(m))$ over ${\\Bbb A}$ for all odd $m \\in {\\Bbb Z}$ by applying M. Witte's formulation of an equivariant main conjecture (or \"limit theorem\") due to Burns and Greither. 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