{"id":"https://openalex.org/W1571956088","doi":"https://doi.org/10.1016/j.jcta.2015.12.003","title":"Demazure flags, Chebyshev polynomials, partial and mock theta functions","display_name":"Demazure flags, Chebyshev polynomials, partial and mock theta functions","publication_year":2016,"publication_date":"2016-01-04","ids":{"openalex":"https://openalex.org/W1571956088","doi":"https://doi.org/10.1016/j.jcta.2015.12.003","mag":"1571956088"},"language":"en","primary_location":{"id":"doi:10.1016/j.jcta.2015.12.003","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jcta.2015.12.003","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0097316515001533/pdf","source":{"id":"https://openalex.org/S128556326","display_name":"Journal of Combinatorial Theory Series A","issn_l":"0097-3165","issn":["0097-3165","1096-0899"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-3","norway-2"],"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":"Journal of Combinatorial Theory, Series A","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/S0097316515001533/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002380257","display_name":"Rekha Biswal","orcid":"https://orcid.org/0000-0001-8084-6265","observed_orcids":["https://orcid.org/0000-0001-8084-6265"]},"institutions":[{"id":"https://openalex.org/I59611059","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05078rg59","country_code":"IN","type":"facility","lineage":["https://openalex.org/I59611059"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Rekha Biswal","raw_affiliation_strings":["The Institute of Mathematical Sciences, Chennai, India","The Institute of Mathematical Sciences,Chennai,India"],"raw_orcid":"https://orcid.org/0000-0001-8084-6265","affiliations":[{"raw_affiliation_string":"The Institute of Mathematical Sciences, Chennai, India","institution_ids":["https://openalex.org/I59611059"]},{"raw_affiliation_string":"The Institute of Mathematical Sciences,Chennai,India","institution_ids":["https://openalex.org/I59611059"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047783160","display_name":"Vyjayanthi Chari","orcid":"https://orcid.org/0000-0002-8621-2631","observed_orcids":["https://orcid.org/0000-0002-8621-2631"]},"institutions":[{"id":"https://openalex.org/I103635307","display_name":"University of California, Riverside","ror":"https://ror.org/03nawhv43","country_code":"US","type":"education","lineage":["https://openalex.org/I103635307"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Vyjayanthi Chari","raw_affiliation_strings":["Department of Mathematics, University of California, Riverside, CA 92521, USA","Department of Mathematics, University of California, Riverside, CA, 92521, USA"],"raw_orcid":"https://orcid.org/0000-0002-8621-2631","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Riverside, CA 92521, USA","institution_ids":["https://openalex.org/I103635307"]},{"raw_affiliation_string":"Department of Mathematics, University of California, Riverside, CA, 92521, USA","institution_ids":["https://openalex.org/I103635307"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066516395","display_name":"Lisa Schneider","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I103635307","display_name":"University of California, Riverside","ror":"https://ror.org/03nawhv43","country_code":"US","type":"education","lineage":["https://openalex.org/I103635307"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Lisa Schneider","raw_affiliation_strings":["Department of Mathematics, University of California, Riverside, CA 92521, USA","Department of Mathematics, University of California, Riverside, CA, 92521, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Riverside, CA 92521, USA","institution_ids":["https://openalex.org/I103635307"]},{"raw_affiliation_string":"Department of Mathematics, University of California, Riverside, CA, 92521, USA","institution_ids":["https://openalex.org/I103635307"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061899966","display_name":"Sankaran Viswanath","orcid":"https://orcid.org/0000-0002-0655-9126","observed_orcids":["https://orcid.org/0000-0002-0655-9126"]},"institutions":[{"id":"https://openalex.org/I59611059","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05078rg59","country_code":"IN","type":"facility","lineage":["https://openalex.org/I59611059"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Sankaran Viswanath","raw_affiliation_strings":["The Institute of Mathematical Sciences, Chennai, India","The Institute of Mathematical Sciences,Chennai,India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Institute of Mathematical Sciences, Chennai, India","institution_ids":["https://openalex.org/I59611059"]},{"raw_affiliation_string":"The Institute of Mathematical Sciences,Chennai,India","institution_ids":["https://openalex.org/I59611059"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5002380257","https://openalex.org/A5047783160","https://openalex.org/A5061899966","https://openalex.org/A5066516395"],"corresponding_institution_ids":["https://openalex.org/I103635307","https://openalex.org/I59611059"],"apc_list":{"value":4210,"currency":"USD","value_usd":4210},"apc_paid":null,"fwci":2.6822,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.87057166,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"140","issue":null,"first_page":"38","last_page":"75"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9994999766349792,"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"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9984999895095825,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/demazure-modules","display_name":"Demazure modules","score":0.8640000224113464},{"id":"https://openalex.org/keywords/generating-series","display_name":"generating series","score":0.6880000233650208},{"id":"https://openalex.org/keywords/chebyshev-polynomials","display_name":"Chebyshev polynomials","score":0.9909999966621399},{"id":"https://openalex.org/keywords/partial-theta-functions","display_name":"partial theta functions","score":0.9160000085830688},{"id":"https://openalex.org/keywords/mock-theta-functions","display_name":"mock theta functions","score":0.9760000109672546},{"id":"https://openalex.org/keywords/srinivasa-ramanujan","display_name":"Ramanujan","score":0.8529999852180481},{"id":"https://openalex.org/keywords/rational-functions","display_name":"rational functions","score":0.4729999899864197},{"id":"https://openalex.org/keywords/recursive-formulae","display_name":"recursive formulae","score":0.765999972820282}],"concepts":[{"id":"https://openalex.org/C131220774","wikidata":"https://www.wikidata.org/wiki/Q1441456","display_name":"Ramanujan's sum","level":2,"score":0.7019850611686707},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7013518214225769},{"id":"https://openalex.org/C129785596","wikidata":"https://www.wikidata.org/wiki/Q619511","display_name":"Chebyshev polynomials","level":2,"score":0.6874169111251831},{"id":"https://openalex.org/C156004811","wikidata":"https://www.wikidata.org/wiki/Q2228257","display_name":"Multiplicity (mathematics)","level":2,"score":0.6079780459403992},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.5847475528717041},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5558717846870422},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4746031165122986},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.46176403760910034},{"id":"https://openalex.org/C94047428","wikidata":"https://www.wikidata.org/wiki/Q2630765","display_name":"Ramanujan theta function","level":3,"score":0.4276452958583832},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.42047804594039917},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3455880284309387},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15203914046287537},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1016/j.jcta.2015.12.003","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jcta.2015.12.003","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0097316515001533/pdf","source":{"id":"https://openalex.org/S128556326","display_name":"Journal of Combinatorial Theory Series A","issn_l":"0097-3165","issn":["0097-3165","1096-0899"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-3","norway-2"],"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":"Journal of Combinatorial Theory, Series A","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1502.05322","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1502.05322","pdf_url":"https://arxiv.org/pdf/1502.05322","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:1571956088","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1502.05322v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1502.05322","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1502.05322","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1016/j.jcta.2015.12.003","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jcta.2015.12.003","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0097316515001533/pdf","source":{"id":"https://openalex.org/S128556326","display_name":"Journal of Combinatorial Theory Series A","issn_l":"0097-3165","issn":["0097-3165","1096-0899"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-3","norway-2"],"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":"Journal of Combinatorial Theory, Series A","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320768","display_name":"Department of Atomic Energy, Government of India","ror":"https://ror.org/02m388s04"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1571956088.pdf","grobid_xml":"https://content.openalex.org/works/W1571956088.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1876734733","https://openalex.org/W1982082841","https://openalex.org/W1988288425","https://openalex.org/W2008199766","https://openalex.org/W2070157764","https://openalex.org/W2088031029","https://openalex.org/W2094710205","https://openalex.org/W2126209209","https://openalex.org/W2595945369","https://openalex.org/W2952958823","https://openalex.org/W2964258023","https://openalex.org/W6632216695","https://openalex.org/W6683009498","https://openalex.org/W6690761685"],"related_works":["https://openalex.org/W2963550409","https://openalex.org/W2950868462","https://openalex.org/W1965919964","https://openalex.org/W2698071152","https://openalex.org/W2952491772","https://openalex.org/W2952658452","https://openalex.org/W2161965817","https://openalex.org/W3184168480","https://openalex.org/W2083772022","https://openalex.org/W2050309141","https://openalex.org/W3203101260","https://openalex.org/W2013273571","https://openalex.org/W1998681238","https://openalex.org/W3196599580","https://openalex.org/W2048381158","https://openalex.org/W2163039405","https://openalex.org/W2949917345","https://openalex.org/W2963690040","https://openalex.org/W2046988179","https://openalex.org/W2010785461"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":1}],"updated_date":"2026-09-26T08:19:03.415552","created_date":"2025-10-10T00:00:00"}