{"id":"https://openalex.org/W1985205379","doi":"https://doi.org/10.1007/s12188-015-0104-3","title":"Counting and zeta functions over $${\\mathbb F}_1$$ F 1","display_name":"Counting and zeta functions over $${\\mathbb F}_1$$ F 1","publication_year":2015,"publication_date":"2015-03-06","ids":{"openalex":"https://openalex.org/W1985205379","doi":"https://doi.org/10.1007/s12188-015-0104-3","mag":"1985205379"},"language":"de","primary_location":{"id":"doi:10.1007/s12188-015-0104-3","doi":"https://doi.org/10.1007/s12188-015-0104-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12188-015-0104-3","pdf_url":null,"source":{"id":"https://openalex.org/S13812875","display_name":"Abhandlungen aus dem Mathematischen Seminar der Universit\u00e4t Hamburg","issn_l":"0025-5858","issn":["0025-5858","1865-8784"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Abhandlungen aus dem Mathematischen Seminar der Universit\u00e4t Hamburg","raw_type":"journal-article"},"volume":null,"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/A5052029553","display_name":"Anton Deitmar","orcid":"https://orcid.org/0000-0001-9083-177X","observed_orcids":["https://orcid.org/0000-0001-9083-177X"]},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Anton Deitmar","raw_affiliation_strings":["Mathematisches Institut, Universit\u00e4t T\u00fcbingen, Auf der Morgenstelle 10, 72076, Tuebingen, Germany","Mathematisches Institut, Universit\u00e4t T\u00fcbingen, Tuebingen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematisches Institut, Universit\u00e4t T\u00fcbingen, Auf der Morgenstelle 10, 72076, Tuebingen, Germany","institution_ids":["https://openalex.org/I8087733"]},{"raw_affiliation_string":"Mathematisches Institut, Universit\u00e4t T\u00fcbingen, Tuebingen, Germany","institution_ids":["https://openalex.org/I8087733"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065679479","display_name":"Shin-ya Koyama","orcid":"https://orcid.org/0000-0002-8529-5244","observed_orcids":["https://orcid.org/0000-0002-8529-5244"]},"institutions":[{"id":"https://openalex.org/I158123994","display_name":"Toyo University","ror":"https://ror.org/059d6yn51","country_code":"JP","type":"education","lineage":["https://openalex.org/I158123994"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shin-ya Koyama","raw_affiliation_strings":["Department of Biomedical Engineering, Toyo University, 2100 Kujirai, Kawagoe, Saitama, 350-8585, Japan","Department of Biomedical Engineering; Toyo University; Kawagoe Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Biomedical Engineering, Toyo University, 2100 Kujirai, Kawagoe, Saitama, 350-8585, Japan","institution_ids":["https://openalex.org/I158123994"]},{"raw_affiliation_string":"Department of Biomedical Engineering; Toyo University; Kawagoe Japan","institution_ids":["https://openalex.org/I158123994"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007901846","display_name":"Nobushige Kurokawa","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698","https://openalex.org/I4400009020"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Nobushige Kurokawa","raw_affiliation_strings":["Department of Mathematics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo, 152-8551, Japan","Department of Mathematics, Tokyo Institute of Technology, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo, 152-8551, Japan","institution_ids":["https://openalex.org/I114531698"]},{"raw_affiliation_string":"Department of Mathematics, Tokyo Institute of Technology, Tokyo, Japan","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5052029553"],"corresponding_institution_ids":["https://openalex.org/I8087733"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":0.5456,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.67599749,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":94},"biblio":{"volume":"85","issue":"1","first_page":"59","last_page":"71"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.44190001487731934,"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"}},"topics":[{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.44190001487731934,"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/T11166","display_name":"Analytic Number Theory Research","score":0.3659999966621399,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.03240000084042549,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/f1","display_name":"F1","score":0.656000018119812},{"id":"https://openalex.org/keywords/counting-functions","display_name":"counting functions","score":0.5659999847412109},{"id":"https://openalex.org/keywords/zeta-functions","display_name":"zeta functions","score":0.9869999885559082},{"id":"https://openalex.org/keywords/arithmetic-zeta-functions","display_name":"arithmetic zeta functions","score":0.5080000162124634}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4890168607234955},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.39859503507614136},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3477131724357605}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12188-015-0104-3","doi":"https://doi.org/10.1007/s12188-015-0104-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12188-015-0104-3","pdf_url":null,"source":{"id":"https://openalex.org/S13812875","display_name":"Abhandlungen aus dem Mathematischen Seminar der Universit\u00e4t Hamburg","issn_l":"0025-5858","issn":["0025-5858","1865-8784"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-1","poland-70","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Abhandlungen aus dem Mathematischen Seminar der Universit\u00e4t Hamburg","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G6144215826","display_name":"Generalization of quantum ergodicity","funder_award_id":"23540031","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1499990465","https://openalex.org/W1606529838","https://openalex.org/W1658328695","https://openalex.org/W1981113775","https://openalex.org/W1991775237","https://openalex.org/W2029320376","https://openalex.org/W2046960058","https://openalex.org/W2074937619","https://openalex.org/W2087736116","https://openalex.org/W2116684069","https://openalex.org/W2139194366","https://openalex.org/W2578578381","https://openalex.org/W2740158985","https://openalex.org/W2764489091"],"related_works":["https://openalex.org/W2935759653","https://openalex.org/W3105167352","https://openalex.org/W54078636","https://openalex.org/W2954470139","https://openalex.org/W1501425562","https://openalex.org/W2902782467","https://openalex.org/W3084825885","https://openalex.org/W2298861036","https://openalex.org/W3148032049","https://openalex.org/W2271181815"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2025-10-10T00:00:00"}
