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Define the positive Eulerian polynomial $\\mathsf{AExc^{+}}_n(t)$ as the polynomial obtained when we sum excedances over the alternating group. We show that $\\mathsf{AExc^{+}}_n(t)$ is gamma positive iff $n \\geq 5$ and $n \\equiv 1$ (mod 2). When $n \\geq 4$, and $n \\equiv 0$ (mod 2) we show that $\\mathsf{AExc^{+}}_n(t)$ can be written as a sum of two gamma positive polynomials.\n  Similar results are shown when we consider the positive type-D and type-D Eulerian polynomials.\n  Finally, we show gamma positivity results whe","authors_text":"Hiranya Kishore Dey, Sivaramakrishnan Sivasubramanian","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-12-06T14:35:50Z","title":"Gamma positivity of the Excedance based Eulerian polynomial in positive elements of Classical Weyl Groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.02742","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:74eb7f6843a591a04e1e7677e6f559bc90713d089a5a149b3aff6820ace1c029","target":"record","created_at":"2026-05-17T23:58:51Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"857c5aed00d585ea27763481d225cf290214a6e330152e5e002b4dc7ad6905c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-12-06T14:35:50Z","title_canon_sha256":"20ed20e5aa2c05e810367d9f3a312fac1ba00800538673f111b1790800107738"},"schema_version":"1.0","source":{"id":"1812.02742","kind":"arxiv","version":1}},"canonical_sha256":"9285d440c8a7ae1043506f3b2be78727e22b1b4ff06bc9730a840980dd22624e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9285d440c8a7ae1043506f3b2be78727e22b1b4ff06bc9730a840980dd22624e","first_computed_at":"2026-05-17T23:58:51.971928Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:51.971928Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n8qMzTCqFN7Z5iXdra9RgO0rQh7QlrIw6jzZIpLIwLqfV4/nN+HGyVAy/rQRN6exiObbWue2qgT+wLNQqQx6Ag==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:51.972551Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.02742","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:74eb7f6843a591a04e1e7677e6f559bc90713d089a5a149b3aff6820ace1c029","sha256:898052e4456dafe6ec246deaf0c53042131057d505c92b886079b29486ac5fba"],"state_sha256":"5ff6add67d1db827d7130b9b7f9aec0300460dd643ad4177db09afc7c0b8ed6f"}