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It was proved by Schneider and Siegel that if $\\tau$ is not a CM point, i.e., $[\\mathbb{Q}(\\tau):\\mathbb{Q}]\\neq2$, then $j(\\tau)$ is transcendental. Let $f$ be a harmonic weak Maass form of weight $0$ on $\\Gamma_0(N)$. In this paper, we consider an extension of the results of Schneider and Siegel to a family of values of $f$ on Hecke orbits of $\\tau$.\n  For a positive integer $m$, let $T_m$ denote the $m$-th Hecke operator. Suppose that the coefficients of the prin"},"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":"1812.01770","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-12-05T01:17:54Z","cross_cats_sorted":[],"title_canon_sha256":"398363f1d0d72e732e2dd0c3b10cedb68b9a02f9609e1cd3df000b60b5c8f713","abstract_canon_sha256":"8bc10f41f1f750b77d9f8aa04d5b91fd914a22d58cd39c26789123133ab8649a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:00.687651Z","signature_b64":"GUUGtf/Dvjtzz0C9U0VAugYw6UEYg28SlbXBCcMQxj2kFI27xq9jtpMuIuDf6QR3h35cPRLVmSfjnD1QfwjVDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec29eb7dcd50ce3022fef3d9c42bacf3827c5e22d24f64f94163b5e64115ab5f","last_reissued_at":"2026-05-17T23:59:00.687196Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:00.687196Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Schneider-Siegel theorem for a family of values of a harmonic weak Maass form at Hecke orbits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Dohoon Choi, Subong Lim","submitted_at":"2018-12-05T01:17:54Z","abstract_excerpt":"Let $j(z)$ be the modular $j$-invariant function. Let $\\tau$ be an algebraic number in the complex upper half plane $\\mathbb{H}$. It was proved by Schneider and Siegel that if $\\tau$ is not a CM point, i.e., $[\\mathbb{Q}(\\tau):\\mathbb{Q}]\\neq2$, then $j(\\tau)$ is transcendental. Let $f$ be a harmonic weak Maass form of weight $0$ on $\\Gamma_0(N)$. In this paper, we consider an extension of the results of Schneider and Siegel to a family of values of $f$ on Hecke orbits of $\\tau$.\n  For a positive integer $m$, let $T_m$ denote the $m$-th Hecke operator. 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