{"id":"https://openalex.org/W1965475246","doi":"https://doi.org/10.1016/s0012-365x(98)00374-4","title":"A new multidimensional matrix inverse with applications to multiple q-series","display_name":"A new multidimensional matrix inverse with applications to multiple q-series","publication_year":1999,"publication_date":"1999-06-01","ids":{"openalex":"https://openalex.org/W1965475246","doi":"https://doi.org/10.1016/s0012-365x(98)00374-4","mag":"1965475246"},"language":"en","primary_location":{"id":"doi:10.1016/s0012-365x(98)00374-4","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0012-365x(98)00374-4","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0012365X98003744/pdf","source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"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":"Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/S0012365X98003744/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040427357","display_name":"Christian Krattenthaler","orcid":"https://orcid.org/0000-0001-6930-0253"},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Christian Krattenthaler","raw_affiliation_strings":["Institut f\u00fcr Mathematik der Universit\u00e4t Wien, Strudlhofgasse 4, A-1090 Wien, Austria","Institut f\u00fcr Mathematik der Universit\u00e4t Wien  Strudlhofgasse 4, A\u20101090 Wien Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik der Universit\u00e4t Wien, Strudlhofgasse 4, A-1090 Wien, Austria","institution_ids":["https://openalex.org/I129774422"]},{"raw_affiliation_string":"Institut f\u00fcr Mathematik der Universit\u00e4t Wien  Strudlhofgasse 4, A\u20101090 Wien Austria","institution_ids":["https://openalex.org/I129774422"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060385600","display_name":"Michael J. Schlosser","orcid":"https://orcid.org/0000-0002-2612-2431"},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Michael Schlosser","raw_affiliation_strings":["Institut f\u00fcr Mathematik der Universit\u00e4t Wien, Strudlhofgasse 4, A-1090 Wien, Austria","Institut f\u00fcr Mathematik der Universit\u00e4t Wien  Strudlhofgasse 4, A\u20101090 Wien Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik der Universit\u00e4t Wien, Strudlhofgasse 4, A-1090 Wien, Austria","institution_ids":["https://openalex.org/I129774422"]},{"raw_affiliation_string":"Institut f\u00fcr Mathematik der Universit\u00e4t Wien  Strudlhofgasse 4, A\u20101090 Wien Austria","institution_ids":["https://openalex.org/I129774422"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5040427357"],"corresponding_institution_ids":["https://openalex.org/I129774422"],"apc_list":{"value":3320,"currency":"USD","value_usd":3320},"apc_paid":null,"fwci":2.1587,"has_fulltext":true,"cited_by_count":32,"citation_normalized_percentile":{"value":0.8465205,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"204","issue":"1-3","first_page":"249","last_page":"279"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9993000030517578,"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":0.9993000030517578,"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/T12748","display_name":"Molecular spectroscopy and chirality","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1607","display_name":"Spectroscopy"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9966999888420105,"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/mathematics","display_name":"Mathematics","score":0.8154616355895996},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.75605309009552},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.7284661531448364},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5116753578186035},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4640200734138489},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35878846049308777},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.35184937715530396},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.31842637062072754},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.059577494859695435}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8154616355895996},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.75605309009552},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.7284661531448364},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5116753578186035},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4640200734138489},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35878846049308777},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35184937715530396},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.31842637062072754},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.059577494859695435},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0012-365x(98)00374-4","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0012-365x(98)00374-4","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0012365X98003744/pdf","source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"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":"Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.47.1493","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.47.1493","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mat.univie.ac.at/People/kratt/artikel/minv.ps.gz","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1016/s0012-365x(98)00374-4","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0012-365x(98)00374-4","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0012365X98003744/pdf","source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"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":"Discrete Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1965475246.pdf","grobid_xml":"https://content.openalex.org/works/W1965475246.grobid-xml"},"referenced_works_count":61,"referenced_works":["https://openalex.org/W576755440","https://openalex.org/W1501251277","https://openalex.org/W1516676028","https://openalex.org/W1529234597","https://openalex.org/W1533556785","https://openalex.org/W1586201839","https://openalex.org/W1833250492","https://openalex.org/W1895808807","https://openalex.org/W1971123899","https://openalex.org/W1972326634","https://openalex.org/W1977435029","https://openalex.org/W1982601200","https://openalex.org/W1987241035","https://openalex.org/W2002089571","https://openalex.org/W2008052995","https://openalex.org/W2010711075","https://openalex.org/W2018749325","https://openalex.org/W2020002204","https://openalex.org/W2028133428","https://openalex.org/W2032014413","https://openalex.org/W2033779630","https://openalex.org/W2035548973","https://openalex.org/W2040956452","https://openalex.org/W2043882816","https://openalex.org/W2044186090","https://openalex.org/W2047322903","https://openalex.org/W2054374502","https://openalex.org/W2061736401","https://openalex.org/W2062672691","https://openalex.org/W2063951197","https://openalex.org/W2065153708","https://openalex.org/W2065728378","https://openalex.org/W2076015902","https://openalex.org/W2088802737","https://openalex.org/W2088887805","https://openalex.org/W2093919407","https://openalex.org/W2101482044","https://openalex.org/W2122501624","https://openalex.org/W2157331649","https://openalex.org/W2170009499","https://openalex.org/W2260428449","https://openalex.org/W2321849340","https://openalex.org/W2330548796","https://openalex.org/W2333448671","https://openalex.org/W2334949447","https://openalex.org/W2335709783","https://openalex.org/W2562905533","https://openalex.org/W2914782162","https://openalex.org/W4210426733","https://openalex.org/W4236049245","https://openalex.org/W4241971033","https://openalex.org/W4253089918","https://openalex.org/W4255354137","https://openalex.org/W6638656519","https://openalex.org/W6652495812","https://openalex.org/W6657625248","https://openalex.org/W6666230814","https://openalex.org/W6675022583","https://openalex.org/W6684795426","https://openalex.org/W6730310934","https://openalex.org/W6834747794"],"related_works":["https://openalex.org/W1919101720","https://openalex.org/W1980470275","https://openalex.org/W2086322839","https://openalex.org/W2344971351","https://openalex.org/W4390822878","https://openalex.org/W2363509351","https://openalex.org/W2377084220","https://openalex.org/W1990581988","https://openalex.org/W96888382","https://openalex.org/W2384206310"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
