{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/129411"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/129411","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"On Stern polynomials and their zeroes","abstract":"Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-10-19 without embargo terms","abstract_html":"Submission original under an indefinite embargo labeled 'Open Access'. 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The submission was exported from vireo on 2025-10-19 without embargo terms","The student, David Altizio, accepted the attached license on 2025-04-18 at 15:19.","The student, David Altizio, submitted this Dissertation for approval on 2025-04-18 at 15:26.","This Dissertation was approved for publication on 2025-04-25 at 16:59.","DSpace SAF Submission Ingestion Package generated from Vireo submission #21838 on 2025-10-19 at 18:18:27","In this dissertation, we study a polynomial analogue of the Stern sequence originally introduced by Klavžar, Milutinović, and Petr. Through algebraic, combinatorial, and geometric means, we prove several results about the coefficients and zeros of these polynomials, with a special emphasis on subsets of C which cannot contain any zeros. We conclude with a discussion about polynomials with coefficients in the set {0, 1, ..., a}, where a ≥ 1 is a positive integer."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["On Stern polynomials and their zeroes"]}]}],"canonical_facts":{"dc:contributor":["Reznick, Bruze","Hinkkanen, Aimo","Boca, Florin","Hildebrand, AJ"],"dc:creator":["Altizio, David Joseph"],"dc:date":["2025-04-25","2025-05"],"dc:description":["Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-10-19 without embargo terms","The student, David Altizio, accepted the attached license on 2025-04-18 at 15:19.","The student, David Altizio, submitted this Dissertation for approval on 2025-04-18 at 15:26.","This Dissertation was approved for publication on 2025-04-25 at 16:59.","DSpace SAF Submission Ingestion Package generated from Vireo submission #21838 on 2025-10-19 at 18:18:27","In this dissertation, we study a polynomial analogue of the Stern sequence originally introduced by Klavžar, Milutinović, and Petr. Through algebraic, combinatorial, and geometric means, we prove several results about the coefficients and zeros of these polynomials, with a special emphasis on subsets of C which cannot contain any zeros. We conclude with a discussion about polynomials with coefficients in the set {0, 1, ..., a}, where a ≥ 1 is a positive integer."],"dc:format":["application/pdf"],"dc:identifier":["https://hdl.handle.net/2142/129411"],"dc:language":["en","eng"],"dc:rights":["Copyright 2025 David Altizio"],"dc:subject":["polynomials","stern polynomials","continued fractions"],"dc:title":["On Stern polynomials and their zeroes"],"dc:type":["text","Thesis"],"thesis:degree_discipline":["Mathematics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois Urbana-Champaign"]},"updated_at":"2026-07-22T22:25:05Z"}