{"id":"https://openalex.org/W4403102820","doi":"https://doi.org/10.1007/s10623-024-01499-3","title":"Two classes of exceptional m-to-1 rational functions","display_name":"Two classes of exceptional m-to-1 rational functions","publication_year":2024,"publication_date":"2024-10-03","ids":{"openalex":"https://openalex.org/W4403102820","doi":"https://doi.org/10.1007/s10623-024-01499-3"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-024-01499-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-024-01499-3","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030164977","display_name":"Zhiguo Ding","orcid":"https://orcid.org/0000-0001-6318-9718"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhiguo Ding","raw_affiliation_strings":["Department of Mathematics, University of Michigan, 530 Church Street, Ann Arbor, MI, 48109-1043, USA"],"raw_orcid":"https://orcid.org/0000-0001-6318-9718","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Michigan, 530 Church Street, Ann Arbor, MI, 48109-1043, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061265713","display_name":"Michael E. Zieve","orcid":"https://orcid.org/0000-0002-3872-3736"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Michael E. Zieve","raw_affiliation_strings":["Department of Mathematics, University of Michigan, 530 Church Street, Ann Arbor, MI, 48109-1043, USA"],"raw_orcid":"https://orcid.org/0000-0002-3872-3736","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Michigan, 530 Church Street, Ann Arbor, MI, 48109-1043, USA","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061265713"],"corresponding_institution_ids":["https://openalex.org/I27837315"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.319,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.62854732,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"92","issue":"12","first_page":"4279","last_page":"4285"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12508","display_name":"Functional Equations Stability Results","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8598249554634094},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4311607778072357},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.42424193024635315},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4102098047733307},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.39622169733047485},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36124834418296814},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11453130841255188}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8598249554634094},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4311607778072357},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.42424193024635315},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4102098047733307},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.39622169733047485},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36124834418296814},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11453130841255188}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10623-024-01499-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-024-01499-3","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4323991929","display_name":null,"funder_award_id":"2020JJ4164","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"}],"funders":[{"id":"https://openalex.org/F4320322843","display_name":"Natural Science Foundation of\u00a0Hunan Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W60111835","https://openalex.org/W1497212759","https://openalex.org/W1522840191","https://openalex.org/W1970691708","https://openalex.org/W1987973674","https://openalex.org/W1990773884","https://openalex.org/W2009746629","https://openalex.org/W2017453435","https://openalex.org/W2022152781","https://openalex.org/W2033957577","https://openalex.org/W2052178764","https://openalex.org/W2081047670","https://openalex.org/W2093335710","https://openalex.org/W2285925216","https://openalex.org/W2790950812","https://openalex.org/W2964017205","https://openalex.org/W2968307249","https://openalex.org/W2982505053","https://openalex.org/W3096827676","https://openalex.org/W3104549912","https://openalex.org/W3127078754","https://openalex.org/W3145381334","https://openalex.org/W3195080265","https://openalex.org/W4200021230","https://openalex.org/W4206423671","https://openalex.org/W4212986917","https://openalex.org/W4304127749","https://openalex.org/W4312413685","https://openalex.org/W4316660712","https://openalex.org/W4387185564","https://openalex.org/W4391956968","https://openalex.org/W4396785736"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2980963558","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W1976691234","https://openalex.org/W3212023493","https://openalex.org/W2090715877","https://openalex.org/W2572370460"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}