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This is a generalization of the same result of Aistleitner, Munsch and the second author for the Riemann zeta-function. As a consequence, we get lower bounds for large values of Dedekind zeta-functions and Rankin-Selberg $L$-functions of the type $L(s,f\\times f)$ on the $1$-line."},"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":"1901.01625","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-01-06T23:27:16Z","cross_cats_sorted":[],"title_canon_sha256":"a1fc89fe4d435726460d72c57020275dd6d61840e6a52753c399a17499987793","abstract_canon_sha256":"b81460257b856ef83a7ad65336dc479d2b5d1cb39f3e061ce977f04ab68355cb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:55:56.038902Z","signature_b64":"f8EJ2A4efATGMXBAl1O/v78uMopAQ2RlER97EkhfMhsaGKHDnh95rNBfX0XBZaxQS/fBPSfXWeHTaLT5nALUDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dec7a717eaa2124dd10613c2b24bebf469811065a0ef484dd0c495f7f82cb981","last_reissued_at":"2026-07-05T00:55:56.038390Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:55:56.038390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Large values of $L$-functions on $1$-line","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Anup B. 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