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We study the Newton slopes of zeta functions of this tower of curves. This reduces to the study of the Newton slopes of L-functions associated to characters of the Galois group of this tower. We prove that, when the conductor of the character is large enough, the Newton slopes of the L-function form arithmetic progressions which are inde"},"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":"1310.5311","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-10-20T09:13:59Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"e4b9468ff24fd668f44758f779fcec3f75787a3c6645d55a95892af642fff295","abstract_canon_sha256":"ec4e7a0bdec94645d0df7a9546dec3acd755574d59b9606e74289e92b8a213d0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:17.971178Z","signature_b64":"K4A65NGr+YjNJkekEKg00Hvc9LRri+vi9FJb93dRsySwknq0+8Sw0aeiiQPCuZeaO+iNR8XKAPRXjz6ZGQ+CDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cab60a355305b09a3e838b1e2ff6bb2dd4a177def11b4fa9d88e3115897f23e0","last_reissued_at":"2026-05-18T01:20:17.970793Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:17.970793Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Newton slopes for Artin-Schreier-Witt towers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Christopher Davis, Daqing Wan, Liang Xiao","submitted_at":"2013-10-20T09:13:59Z","abstract_excerpt":"We fix a monic polynomial $f(x) \\in \\mathbb F_q[x]$ over a finite field and consider the Artin-Schreier-Witt tower defined by $f(x)$; this is a tower of curves $\\cdots \\to C_m \\to C_{m-1} \\to \\cdots \\to C_0 =\\mathbb A^1$, with total Galois group $\\mathbb Z_p$. 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