{"id":"https://openalex.org/W175952220","doi":"https://doi.org/10.1007/978-1-4614-6642-0_9","title":"Continued Fractions and Dedekind Sums for Function Fields","display_name":"Continued Fractions and Dedekind Sums for Function Fields","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W175952220","doi":"https://doi.org/10.1007/978-1-4614-6642-0_9","mag":"175952220"},"language":"en","primary_location":{"id":"doi:10.1007/978-1-4614-6642-0_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4614-6642-0_9","pdf_url":null,"source":{"id":"https://openalex.org/S4210180650","display_name":"Springer proceedings in mathematics & statistics","issn_l":"2194-1009","issn":["2194-1009","2194-1017"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Springer Proceedings in Mathematics &amp; Statistics","raw_type":"book-chapter"},"type":"book-chapter","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/A5062116461","display_name":"Yoshinori Hamahata","orcid":"https://orcid.org/0000-0003-1849-0725"},"institutions":[{"id":"https://openalex.org/I135768898","display_name":"Ritsumeikan University","ror":"https://ror.org/0197nmd03","country_code":"JP","type":"education","lineage":["https://openalex.org/I135768898","https://openalex.org/I4390039241"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Yoshinori Hamahata","raw_affiliation_strings":["Institute for Teaching and Learning, Ritsumeikan University, Kusatsu, Shiga, Japan","Ritsumeikan University"],"affiliations":[{"raw_affiliation_string":"Institute for Teaching and Learning, Ritsumeikan University, Kusatsu, Shiga, Japan","institution_ids":["https://openalex.org/I135768898"]},{"raw_affiliation_string":"Ritsumeikan University","institution_ids":["https://openalex.org/I135768898"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5062116461"],"corresponding_institution_ids":["https://openalex.org/I135768898"],"apc_list":null,"apc_paid":null,"fwci":2.6957,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.89411765,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"187","last_page":"197"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T11166","display_name":"Analytic Number Theory Research","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/dedekind-sum","display_name":"Dedekind sum","score":0.8499818444252014},{"id":"https://openalex.org/keywords/dedekind-cut","display_name":"Dedekind cut","score":0.7130061388015747},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6502217650413513},{"id":"https://openalex.org/keywords/dedekind-eta-function","display_name":"Dedekind eta function","score":0.5861402750015259},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5706970691680908},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5302184224128723},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3713819682598114},{"id":"https://openalex.org/keywords/modular-form","display_name":"Modular form","score":0.11154639720916748}],"concepts":[{"id":"https://openalex.org/C183606055","wikidata":"https://www.wikidata.org/wiki/Q2463775","display_name":"Dedekind sum","level":3,"score":0.8499818444252014},{"id":"https://openalex.org/C76449584","wikidata":"https://www.wikidata.org/wiki/Q851333","display_name":"Dedekind cut","level":2,"score":0.7130061388015747},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6502217650413513},{"id":"https://openalex.org/C56357843","wikidata":"https://www.wikidata.org/wiki/Q1182161","display_name":"Dedekind eta function","level":4,"score":0.5861402750015259},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5706970691680908},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5302184224128723},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3713819682598114},{"id":"https://openalex.org/C75764964","wikidata":"https://www.wikidata.org/wiki/Q870797","display_name":"Modular form","level":2,"score":0.11154639720916748},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C133835828","wikidata":"https://www.wikidata.org/wiki/Q1313257","display_name":"Eisenstein series","level":3,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-1-4614-6642-0_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4614-6642-0_9","pdf_url":null,"source":{"id":"https://openalex.org/S4210180650","display_name":"Springer proceedings in mathematics & statistics","issn_l":"2194-1009","issn":["2194-1009","2194-1017"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Springer Proceedings in Mathematics &amp; Statistics","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W144897601","https://openalex.org/W1539200383","https://openalex.org/W1572648022","https://openalex.org/W1984682653","https://openalex.org/W2091929090","https://openalex.org/W2322527513","https://openalex.org/W2331045204","https://openalex.org/W2487303474","https://openalex.org/W3175367423","https://openalex.org/W4250030641","https://openalex.org/W4388288416"],"related_works":["https://openalex.org/W2949460333","https://openalex.org/W4298224166","https://openalex.org/W2891743814","https://openalex.org/W1977449272","https://openalex.org/W4254561014","https://openalex.org/W4300952726","https://openalex.org/W2890051578","https://openalex.org/W2170126841","https://openalex.org/W4289548815","https://openalex.org/W2963125920"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
