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If $F$ is CM and the Brumer-Stark conjecture holds for $F/K$, we construct a family of $G(F/K)$--equivariant Hecke characters for $F$ with infinite type equal to a special value of certain $G(F/K)$--equivariant $L$-functions. Using results of Greither-Popescu on the Brumer-Stark conjecture we construct $l$-adic imprimitive versions of these characters, for primes $l> 2$. Further, the special values of these $l$-adic Hecke characters are used to construct $G(F/K)$-equivariant Stickelberge"},"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":"1402.5451","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-02-21T23:42:23Z","cross_cats_sorted":["math.KT"],"title_canon_sha256":"ad02ea481f95c4d70c334ee3d360b82ac0803f42018579f6567ba19763bbaf66","abstract_canon_sha256":"fb7c0daaf403eeb852c3f353151bebf2a135de94e79a56b52ee1ef0270830be2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:21.106338Z","signature_b64":"7hw+L3f+NTUPxrue2MRUnQyQzwMoMmc20jeNYJV1Z9kDmG39En2Al2aaixnXbdYSn//fMxyKmly65QFSjmrWBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a62b696a4be89b5e5449c371646caaf8a46cdbff9826d5c56647724de49f7d5d","last_reissued_at":"2026-05-18T02:58:21.105582Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:21.105582Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hecke characters and the $K$-theory of totally real and CM number fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.KT"],"primary_cat":"math.NT","authors_text":"Cristian D. Popescu, Grzegorz Banaszak","submitted_at":"2014-02-21T23:42:23Z","abstract_excerpt":"Let $F/K$ be an abelian extension of number fields with $F$ either CM or totally real and $K$ totally real. If $F$ is CM and the Brumer-Stark conjecture holds for $F/K$, we construct a family of $G(F/K)$--equivariant Hecke characters for $F$ with infinite type equal to a special value of certain $G(F/K)$--equivariant $L$-functions. Using results of Greither-Popescu on the Brumer-Stark conjecture we construct $l$-adic imprimitive versions of these characters, for primes $l> 2$. 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