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Conrey's question in general does not appear to be easy.Let ${\\mathcal P}_n(S)$ be the set of all algebraic polynomials of degree at most $n$ with each of their coefficients in $S$. For a finite set $S \\subset {\\mathbb C}$ let $M = M(S) := \\max\\{|z|: z \\in S\\}$. It has been shown recently that if $S \\subset {\\mathbb R}$ is a finite set and "},"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":"1702.05823","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.NT","submitted_at":"2017-02-20T00:26:07Z","cross_cats_sorted":[],"title_canon_sha256":"5416607771cc25ec1f37122e7a2833599de0eb821f1ca7a68461e78ecbe23244","abstract_canon_sha256":"35eb99b5433060877603bf30e8015119d8cd2b0456864f1669987ad7a964e8fd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:07.704660Z","signature_b64":"Gd3dXsEJUYTZuFvgp69kHwAC8LApaClDeKH/avahjtJMJ7tRn50OAYAyN5UUbpdEtT5MboePHQlZf9rFMcbtAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d4e6521809f77ae07ae1c4c27b686bd63fc480ee908878feecb93db60e8d1f3","last_reissued_at":"2026-05-17T23:54:07.704249Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:07.704249Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Improved lower bound for the number of unimodular zeros of self-reciprocal polynomials with coefficients in a finite set","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Tam\\'as Erd\\'elyi","submitted_at":"2017-02-20T00:26:07Z","abstract_excerpt":"Let $n_1 < n_2 < \\cdots < n_N$ be non-negative integers. 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