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The $q$-analogue of MZ(S)Vs, or $q$MZ(S)Vs for short, was introduced by Bradley, Okuda and Takeyama, Zhao, etc. On the other hand, the polynomials interpolating MZVs and MZSVs using a parameter $t$ were introduced by Yamamoto. We call these $t$-MZVs.\n  In this paper, we consider such two generalizations simultaneously, that is, we compose polynomials, called $t$-$q$MZVs, interpolating $q$MZVs and $q$MZSVs using a parameter $t$ which are reduced to $q$MZVs as "},"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":"1609.01197","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-09-05T15:33:40Z","cross_cats_sorted":[],"title_canon_sha256":"5f6002d6e7b8f5584b4e352e93d31344393965b11bdd655f4cff5858ae477f29","abstract_canon_sha256":"fc51a2ca5d8eef4e56a5ba20f0c9b542a7834ca393a28407727bde73cb81ac7f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:18.724394Z","signature_b64":"71Xc5CESbU3vwwRbVT4PPTlXsog/AbF/tgASD//hhw0bIMdCR/NR3crgLJRJlLRwcShbsghsAC5KhvczvGYFBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"543f23ebbcf830c356f3563cc309652b56830907df01cd31e2d6508a233c8079","last_reissued_at":"2026-05-18T01:06:18.723807Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:18.723807Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Interpolation of $q$-analogue of multiple zeta and zeta-star values","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Noriko Wakabayashi","submitted_at":"2016-09-05T15:33:40Z","abstract_excerpt":"We know at least two ways to generalize multiple zeta(-star) values, or MZ(S)Vs for short, which are $q$-analogue and $t$-interpolation. The $q$-analogue of MZ(S)Vs, or $q$MZ(S)Vs for short, was introduced by Bradley, Okuda and Takeyama, Zhao, etc. On the other hand, the polynomials interpolating MZVs and MZSVs using a parameter $t$ were introduced by Yamamoto. We call these $t$-MZVs.\n  In this paper, we consider such two generalizations simultaneously, that is, we compose polynomials, called $t$-$q$MZVs, interpolating $q$MZVs and $q$MZSVs using a parameter $t$ which are reduced to $q$MZVs as "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.01197","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1609.01197","created_at":"2026-05-18T01:06:18.723887+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.01197v1","created_at":"2026-05-18T01:06:18.723887+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.01197","created_at":"2026-05-18T01:06:18.723887+00:00"},{"alias_kind":"pith_short_12","alias_value":"KQ7SH2547AYM","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_16","alias_value":"KQ7SH2547AYMGVXT","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_8","alias_value":"KQ7SH254","created_at":"2026-05-18T12:30:25.849896+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KQ7SH2547AYMGVXTKY6MGCLFFN","json":"https://pith.science/pith/KQ7SH2547AYMGVXTKY6MGCLFFN.json","graph_json":"https://pith.science/api/pith-number/KQ7SH2547AYMGVXTKY6MGCLFFN/graph.json","events_json":"https://pith.science/api/pith-number/KQ7SH2547AYMGVXTKY6MGCLFFN/events.json","paper":"https://pith.science/paper/KQ7SH254"},"agent_actions":{"view_html":"https://pith.science/pith/KQ7SH2547AYMGVXTKY6MGCLFFN","download_json":"https://pith.science/pith/KQ7SH2547AYMGVXTKY6MGCLFFN.json","view_paper":"https://pith.science/paper/KQ7SH254","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.01197&json=true","fetch_graph":"https://pith.science/api/pith-number/KQ7SH2547AYMGVXTKY6MGCLFFN/graph.json","fetch_events":"https://pith.science/api/pith-number/KQ7SH2547AYMGVXTKY6MGCLFFN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KQ7SH2547AYMGVXTKY6MGCLFFN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KQ7SH2547AYMGVXTKY6MGCLFFN/action/storage_attestation","attest_author":"https://pith.science/pith/KQ7SH2547AYMGVXTKY6MGCLFFN/action/author_attestation","sign_citation":"https://pith.science/pith/KQ7SH2547AYMGVXTKY6MGCLFFN/action/citation_signature","submit_replication":"https://pith.science/pith/KQ7SH2547AYMGVXTKY6MGCLFFN/action/replication_record"}},"created_at":"2026-05-18T01:06:18.723887+00:00","updated_at":"2026-05-18T01:06:18.723887+00:00"}