{"id":"https://openalex.org/W7128380425","doi":"https://doi.org/10.5269/bspm.77152","title":"On congruences of sixth order mock theta function","display_name":"On congruences of sixth order mock theta function","publication_year":2025,"publication_date":"2025-09-02","ids":{"openalex":"https://openalex.org/W7128380425","doi":"https://doi.org/10.5269/bspm.77152"},"language":"en","primary_location":{"id":"doi:10.5269/bspm.77152","doi":"https://doi.org/10.5269/bspm.77152","is_oa":true,"landing_page_url":"https://doi.org/10.5269/bspm.77152","pdf_url":"https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/download/77152/751375160676","source":{"id":"https://openalex.org/S4210185623","display_name":"Boletim da Sociedade Paranaense de Matem\u00e1tica","issn_l":"0037-8712","issn":["0037-8712","2175-1188"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310312547","host_organization_name":"Sociedade Brasileira de Matem\u00e1tica","host_organization_lineage":["https://openalex.org/P4310312547"],"host_organization_lineage_names":["Sociedade Brasileira de Matem\u00e1tica"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Boletim da Sociedade Paranaense de Matem\u00e1tica","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W7128380425"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/download/77152/751375160676","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060180426","display_name":"Yudhisthira Jamudulia","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4405277957","display_name":"Gangadhar Meher University","ror":"https://ror.org/04f14sv75","country_code":"IN","type":"education","lineage":["https://openalex.org/I4405277957"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Yudhisthira Jamudulia","raw_affiliation_strings":["Gangadhar Meher University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Gangadhar Meher University","institution_ids":["https://openalex.org/I4405277957"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5116876909","display_name":"Gouri Shankar Guru","orcid":"https://orcid.org/0009-0002-7037-4035","observed_orcids":["https://orcid.org/0009-0002-7037-4035"]},"institutions":[{"id":"https://openalex.org/I4405277957","display_name":"Gangadhar Meher University","ror":"https://ror.org/04f14sv75","country_code":"IN","type":"education","lineage":["https://openalex.org/I4405277957"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Gouri Shankar Guru","raw_affiliation_strings":["Gangadhar Meher University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Gangadhar Meher University","institution_ids":["https://openalex.org/I4405277957"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4405277957"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":1.0,"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":1.0,"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":0.0,"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":0.0,"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/infinite-families-of-congruences","display_name":"infinite families of congruences","score":0.9139999747276306},{"id":"https://openalex.org/keywords/srinivasa-ramanujan","display_name":"Ramanujan","score":0.628000020980835}],"concepts":[{"id":"https://openalex.org/C9973445","wikidata":"https://www.wikidata.org/wiki/Q8349849","display_name":"Congruence relation","level":2,"score":0.9751999974250793},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.828499972820282},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7455000281333923},{"id":"https://openalex.org/C105546189","wikidata":"https://www.wikidata.org/wiki/Q1154787","display_name":"Theta function","level":2,"score":0.571399986743927},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5529999732971191},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4984000027179718},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44359999895095825},{"id":"https://openalex.org/C132074034","wikidata":"https://www.wikidata.org/wiki/Q154210","display_name":"Congruence (geometry)","level":2,"score":0.36550000309944153},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3601999878883362},{"id":"https://openalex.org/C94047428","wikidata":"https://www.wikidata.org/wiki/Q2630765","display_name":"Ramanujan theta function","level":3,"score":0.3142000138759613},{"id":"https://openalex.org/C2777566824","wikidata":"https://www.wikidata.org/wiki/Q1259252","display_name":"Third order","level":2,"score":0.2838999927043915},{"id":"https://openalex.org/C183448482","wikidata":"https://www.wikidata.org/wiki/Q1799665","display_name":"Modulo operation","level":2,"score":0.2782000005245209},{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.27379998564720154},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.25920000672340393},{"id":"https://openalex.org/C205979905","wikidata":"https://www.wikidata.org/wiki/Q215084","display_name":"Analytic function","level":2,"score":0.2572999894618988},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.25529998540878296},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.2526000142097473},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2515999972820282}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.5269/bspm.77152","doi":"https://doi.org/10.5269/bspm.77152","is_oa":true,"landing_page_url":"https://doi.org/10.5269/bspm.77152","pdf_url":"https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/download/77152/751375160676","source":{"id":"https://openalex.org/S4210185623","display_name":"Boletim da Sociedade Paranaense de Matem\u00e1tica","issn_l":"0037-8712","issn":["0037-8712","2175-1188"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310312547","host_organization_name":"Sociedade Brasileira de Matem\u00e1tica","host_organization_lineage":["https://openalex.org/P4310312547"],"host_organization_lineage_names":["Sociedade Brasileira de Matem\u00e1tica"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Boletim da Sociedade Paranaense de Matem\u00e1tica","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.5269/bspm.77152","doi":"https://doi.org/10.5269/bspm.77152","is_oa":true,"landing_page_url":"https://doi.org/10.5269/bspm.77152","pdf_url":"https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/download/77152/751375160676","source":{"id":"https://openalex.org/S4210185623","display_name":"Boletim da Sociedade Paranaense de Matem\u00e1tica","issn_l":"0037-8712","issn":["0037-8712","2175-1188"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310312547","host_organization_name":"Sociedade Brasileira de Matem\u00e1tica","host_organization_lineage":["https://openalex.org/P4310312547"],"host_organization_lineage_names":["Sociedade Brasileira de Matem\u00e1tica"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Boletim da Sociedade Paranaense de Matem\u00e1tica","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7128380425.pdf","grobid_xml":"https://content.openalex.org/works/W7128380425.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W1968847829","https://openalex.org/W2001268273","https://openalex.org/W2012606876","https://openalex.org/W2181515540","https://openalex.org/W2294698342","https://openalex.org/W2335155740","https://openalex.org/W2478835937","https://openalex.org/W2791465356","https://openalex.org/W2969377342","https://openalex.org/W2983176509","https://openalex.org/W3208167387","https://openalex.org/W4214899049","https://openalex.org/W4234282059","https://openalex.org/W4252041244","https://openalex.org/W4294576166","https://openalex.org/W4313345891","https://openalex.org/W4409083163"],"related_works":["https://openalex.org/W3208167387","https://openalex.org/W7163394694","https://openalex.org/W2899461380","https://openalex.org/W4407712255","https://openalex.org/W4296352217","https://openalex.org/W7127106041","https://openalex.org/W4304187445","https://openalex.org/W3043674073","https://openalex.org/W2789252772","https://openalex.org/W4410929825"],"abstract_inverted_index":{"In":[0],"a":[1],"recent":[2],"work,":[3],"Kaur":[4],"and":[5,11,29,45,62,68],"Rana,":[6],"obtained":[7],"several":[8],"Ramanujan-like":[9],"congruences":[10,16,58],"established":[12],"infinite":[13,52],"families":[14,53],"of":[15,22,54],"modulo":[17,59],"12":[18],"for":[19,64],"the":[20,65],"coefficients":[21],"sixth":[23],"order":[24],"mock":[25],"theta":[26],"functions":[27,66],"\u03bb(q)":[28,67],"\u03c1(q).":[30,69],"Inspired":[31],"by":[32,49],"their":[33,47],"approach,":[34],"in":[35],"this":[36],"paper,":[37],"we":[38],"develop":[39],"more":[40],"generalized":[41],"results.":[42],"We":[43],"extend":[44],"enrich":[46],"findings":[48],"deriving":[50],"additional":[51],"congruences,":[55],"including":[56],"new":[57],"3,":[60],"6":[61],"9":[63]},"counts_by_year":[],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2026-02-10T00:00:00"}
