{"id":"https://openalex.org/W1985722857","doi":"https://doi.org/10.1016/s0096-3003(03)00614-3","title":"On extension of the modular transformations over the modular group by reflection","display_name":"On extension of the modular transformations over the modular group by reflection","publication_year":2003,"publication_date":"2003-07-22","ids":{"openalex":"https://openalex.org/W1985722857","doi":"https://doi.org/10.1016/s0096-3003(03)00614-3","mag":"1985722857"},"language":"en","primary_location":{"id":"doi:10.1016/s0096-3003(03)00614-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(03)00614-3","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","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/A5069447723","display_name":"\u0130smet Y\u0131ld\u0131z","orcid":"https://orcid.org/0000-0001-7544-4835"},"institutions":[{"id":"https://openalex.org/I64957398","display_name":"Ordu University","ror":"https://ror.org/04r0hn449","country_code":"TR","type":"education","lineage":["https://openalex.org/I64957398"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"\u0130smet Yildiz","raw_affiliation_strings":["Fak\u00fcltesi Matematik B\u00f6l\u00f6m\u00fc, 19 May\u0131s \u00dcniversitesi ORDU Fen- Ed., Ordu, Turkey","Fak\u00fcltesi Matematik B\u00f6l\u00f6m\u00fc, 19 May\u0131s \u00edniversitesi ORDU Fen- Ed., Ordu, Turkey#TAB#"],"affiliations":[{"raw_affiliation_string":"Fak\u00fcltesi Matematik B\u00f6l\u00f6m\u00fc, 19 May\u0131s \u00dcniversitesi ORDU Fen- Ed., Ordu, Turkey","institution_ids":["https://openalex.org/I64957398"]},{"raw_affiliation_string":"Fak\u00fcltesi Matematik B\u00f6l\u00f6m\u00fc, 19 May\u0131s \u00edniversitesi ORDU Fen- Ed., Ordu, Turkey#TAB#","institution_ids":["https://openalex.org/I64957398"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5069447723"],"corresponding_institution_ids":["https://openalex.org/I64957398"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.10051455,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"153","issue":"1","first_page":"111","last_page":"116"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13267","display_name":"Advanced Theoretical and Applied Studies in Material Sciences and Geometry","score":0.9373999834060669,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13267","display_name":"Advanced Theoretical and Applied Studies in Material Sciences and Geometry","score":0.9373999834060669,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T14351","display_name":"Statistical and Computational Modeling","score":0.9248999953269958,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.9074937105178833},{"id":"https://openalex.org/keywords/modular-group","display_name":"Modular group","score":0.6765389442443848},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.6504145860671997},{"id":"https://openalex.org/keywords/reflection","display_name":"Reflection (computer programming)","score":0.6388834714889526},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5576676726341248},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5521966218948364},{"id":"https://openalex.org/keywords/modular-form","display_name":"Modular form","score":0.5109061598777771},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49160605669021606},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4856075346469879},{"id":"https://openalex.org/keywords/modular-curve","display_name":"Modular curve","score":0.47952961921691895},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.42761239409446716},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.308361291885376},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1189083456993103},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.11275914311408997},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0521165132522583}],"concepts":[{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.9074937105178833},{"id":"https://openalex.org/C181633103","wikidata":"https://www.wikidata.org/wiki/Q1834342","display_name":"Modular group","level":2,"score":0.6765389442443848},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6504145860671997},{"id":"https://openalex.org/C65682993","wikidata":"https://www.wikidata.org/wiki/Q1056451","display_name":"Reflection (computer programming)","level":2,"score":0.6388834714889526},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5576676726341248},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5521966218948364},{"id":"https://openalex.org/C75764964","wikidata":"https://www.wikidata.org/wiki/Q870797","display_name":"Modular form","level":2,"score":0.5109061598777771},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49160605669021606},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4856075346469879},{"id":"https://openalex.org/C59766168","wikidata":"https://www.wikidata.org/wiki/Q3001220","display_name":"Modular curve","level":3,"score":0.47952961921691895},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.42761239409446716},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.308361291885376},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1189083456993103},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.11275914311408997},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0521165132522583},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0096-3003(03)00614-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(03)00614-3","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1575834508","https://openalex.org/W1981272483","https://openalex.org/W1988044360","https://openalex.org/W2008440765","https://openalex.org/W4297756508","https://openalex.org/W6645392434"],"related_works":["https://openalex.org/W3196336171","https://openalex.org/W123909518","https://openalex.org/W375329393","https://openalex.org/W51342543","https://openalex.org/W2622163975","https://openalex.org/W2952206119","https://openalex.org/W2088890063","https://openalex.org/W2062889930","https://openalex.org/W1985722857","https://openalex.org/W3191586955"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
