{"id":"https://openalex.org/W77575736","doi":"https://doi.org/10.1007/bf03051352","title":"On some theorems of Ramanujan","display_name":"On some theorems of Ramanujan","publication_year":1940,"publication_date":"1940-04-01","ids":{"openalex":"https://openalex.org/W77575736","doi":"https://doi.org/10.1007/bf03051352","mag":"77575736"},"language":"en","primary_location":{"id":"doi:10.1007/bf03051352","doi":"https://doi.org/10.1007/bf03051352","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf03051352","pdf_url":null,"source":{"id":"https://openalex.org/S4210187040","display_name":"Proceedings of the Indian Academy of Sciences - Section A","issn_l":"0370-0089","issn":["0370-0089"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"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":"Proceedings of the Indian Academy of Sciences - Section A","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5026517605","display_name":"Faqir Chand Auluck","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4405285082","display_name":"Govt. Dyal Singh Graduate College Lahore","ror":"https://ror.org/04r9nbq14","country_code":"PK","type":"education","lineage":["https://openalex.org/I4405285082"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"F. C. Auluck","raw_affiliation_strings":["Dyal Singh College, Lahore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dyal Singh College, Lahore","institution_ids":["https://openalex.org/I4405285082"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5026517605"],"corresponding_institution_ids":["https://openalex.org/I4405285082"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"11","issue":"4","first_page":"376","last_page":"378"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9945999979972839,"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":0.9945999979972839,"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":0.003599999938160181,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.00019999999494757503,"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/srinivasa-ramanujan","display_name":"Ramanujan","score":0.9150000214576721},{"id":"https://openalex.org/keywords/number-theory","display_name":"number theory","score":0.5699999928474426},{"id":"https://openalex.org/keywords/modular-forms","display_name":"modular forms","score":0.4819999933242798},{"id":"https://openalex.org/keywords/elliptic-functions","display_name":"elliptic functions","score":0.5960000157356262}],"concepts":[{"id":"https://openalex.org/C131220774","wikidata":"https://www.wikidata.org/wiki/Q1441456","display_name":"Ramanujan's sum","level":2,"score":0.910788357257843},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6768506169319153},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.38151252269744873}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf03051352","doi":"https://doi.org/10.1007/bf03051352","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf03051352","pdf_url":null,"source":{"id":"https://openalex.org/S4210187040","display_name":"Proceedings of the Indian Academy of Sciences - Section A","issn_l":"0370-0089","issn":["0370-0089"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"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":"Proceedings of the Indian Academy of Sciences - Section A","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1548373471","https://openalex.org/W153452586","https://openalex.org/W14228238","https://openalex.org/W2030152372","https://openalex.org/W2111928100","https://openalex.org/W1991431689","https://openalex.org/W2031543567","https://openalex.org/W2029238374","https://openalex.org/W2030644481","https://openalex.org/W2026004574"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-10-09T09:14:12.587421","created_date":"2016-06-24T00:00:00"}
