{"id":"https://openalex.org/W1999592437","doi":"https://doi.org/10.1007/s00287-007-0189-x","title":"Gregory-Leibniz und Euler: Arcus-Cotangens-Relationen (Anl\u00e4\u00dflich des 300. Geburtstags von Leonhard Euler)","display_name":"Gregory-Leibniz und Euler: Arcus-Cotangens-Relationen (Anl\u00e4\u00dflich des 300. Geburtstags von Leonhard Euler)","publication_year":2007,"publication_date":"2007-09-21","ids":{"openalex":"https://openalex.org/W1999592437","doi":"https://doi.org/10.1007/s00287-007-0189-x","mag":"1999592437"},"language":"de","primary_location":{"id":"doi:10.1007/s00287-007-0189-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00287-007-0189-x","pdf_url":null,"source":{"id":"https://openalex.org/S155002599","display_name":"Informatik-Spektrum","issn_l":"0170-6012","issn":["0170-6012","1432-122X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"Informatik-Spektrum","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/A5110048520","display_name":"Friedrich L. Bauer","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Friedrich L. Bauer","raw_affiliation_strings":["N\u00f6rdliche Villenstra\u00dfe 19, 82288, Kottgeisering, Germany","Kottgeisering, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"N\u00f6rdliche Villenstra\u00dfe 19, 82288, Kottgeisering, Germany","institution_ids":[]},{"raw_affiliation_string":"Kottgeisering, Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5110048520"],"corresponding_institution_ids":[],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09696794,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"30","issue":"6","first_page":"444","last_page":"451"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13500","display_name":"Probability and Statistical Research","score":0.9564999938011169,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T13500","display_name":"Probability and Statistical Research","score":0.9564999938011169,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T13175","display_name":"Historical Astronomy and Related Studies","score":0.9319000244140625,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.9308000206947327,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/eulers-formula","display_name":"Euler's formula","score":0.6914249062538147},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36775508522987366},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.359411358833313},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.32070767879486084},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09057405591011047}],"concepts":[{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.6914249062538147},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36775508522987366},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.359411358833313},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.32070767879486084},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09057405591011047}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00287-007-0189-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00287-007-0189-x","pdf_url":null,"source":{"id":"https://openalex.org/S155002599","display_name":"Informatik-Spektrum","issn_l":"0170-6012","issn":["0170-6012","1432-122X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"Informatik-Spektrum","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.4699999988079071,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W2057189098"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2357986411"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}