{"id":"https://openalex.org/W1742837699","doi":"https://doi.org/10.1080/10586458.2015.1028688","title":"Orthogonal Hypergeometric Groups with a Maximally Unipotent Monodromy","display_name":"Orthogonal Hypergeometric Groups with a Maximally Unipotent Monodromy","publication_year":2015,"publication_date":"2015-07-11","ids":{"openalex":"https://openalex.org/W1742837699","doi":"https://doi.org/10.1080/10586458.2015.1028688","mag":"1742837699"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2015.1028688","is_oa":true,"landing_page_url":"https://doi.org/10.1080/10586458.2015.1028688","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1080/10586458.2015.1028688","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051043220","display_name":"Sandip Singh","orcid":null},"institutions":[{"id":"https://openalex.org/I4210119712","display_name":"Max Planck Institute for Mathematics","ror":"https://ror.org/02dh8ja68","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210119712"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Sandip Singh","raw_affiliation_strings":["Max Planck Institute for Mathematics, Bonn, Germany","Max-Planck Institute for Mathematics, Bonn, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Mathematics, Bonn, Germany","institution_ids":["https://openalex.org/I4210119712"]},{"raw_affiliation_string":"Max-Planck Institute for Mathematics, Bonn, Germany","institution_ids":["https://openalex.org/I4210119712"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5051043220"],"corresponding_institution_ids":["https://openalex.org/I4210119712"],"apc_list":null,"apc_paid":null,"fwci":1.9992,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.82840647,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"24","issue":"4","first_page":"449","last_page":"459"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9668999910354614,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9430000185966492,"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/mathematics","display_name":"Mathematics","score":0.9083248376846313},{"id":"https://openalex.org/keywords/unipotent","display_name":"Unipotent","score":0.8210936784744263},{"id":"https://openalex.org/keywords/monodromy","display_name":"Monodromy","score":0.7452336549758911},{"id":"https://openalex.org/keywords/hypergeometric-distribution","display_name":"Hypergeometric distribution","score":0.6699662804603577},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.595566987991333},{"id":"https://openalex.org/keywords/symplectic-geometry","display_name":"Symplectic geometry","score":0.5440870523452759},{"id":"https://openalex.org/keywords/hypergeometric-function","display_name":"Hypergeometric function","score":0.5422672629356384},{"id":"https://openalex.org/keywords/table","display_name":"Table (database)","score":0.5095227360725403},{"id":"https://openalex.org/keywords/basic-hypergeometric-series","display_name":"Basic hypergeometric series","score":0.47764575481414795},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.47070762515068054},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3670429587364197}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9083248376846313},{"id":"https://openalex.org/C205633959","wikidata":"https://www.wikidata.org/wiki/Q2494915","display_name":"Unipotent","level":2,"score":0.8210936784744263},{"id":"https://openalex.org/C96403706","wikidata":"https://www.wikidata.org/wiki/Q543956","display_name":"Monodromy","level":2,"score":0.7452336549758911},{"id":"https://openalex.org/C176671685","wikidata":"https://www.wikidata.org/wiki/Q730600","display_name":"Hypergeometric distribution","level":2,"score":0.6699662804603577},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.595566987991333},{"id":"https://openalex.org/C168619227","wikidata":"https://www.wikidata.org/wiki/Q2190991","display_name":"Symplectic geometry","level":2,"score":0.5440870523452759},{"id":"https://openalex.org/C197320386","wikidata":"https://www.wikidata.org/wiki/Q21028472","display_name":"Hypergeometric function","level":2,"score":0.5422672629356384},{"id":"https://openalex.org/C45235069","wikidata":"https://www.wikidata.org/wiki/Q278425","display_name":"Table (database)","level":2,"score":0.5095227360725403},{"id":"https://openalex.org/C92941272","wikidata":"https://www.wikidata.org/wiki/Q1062958","display_name":"Basic hypergeometric series","level":3,"score":0.47764575481414795},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.47070762515068054},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3670429587364197},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1080/10586458.2015.1028688","is_oa":true,"landing_page_url":"https://doi.org/10.1080/10586458.2015.1028688","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:edoc.mpg.de:717768","is_oa":false,"landing_page_url":"http://edoc.mpg.de/717768","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Experimental Mathematics, v.24, 449-459 (2015)","raw_type":"Article"},{"id":"pmh:oai:pure.mpg.de:item_3120388","is_oa":true,"landing_page_url":"http://hdl.handle.net/21.11116/0000-0004-1481-3","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Experimental Mathematics","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1080/10586458.2015.1028688","is_oa":true,"landing_page_url":"https://doi.org/10.1080/10586458.2015.1028688","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1495027777","https://openalex.org/W1603487565","https://openalex.org/W1658658378","https://openalex.org/W1679346051","https://openalex.org/W2002391380","https://openalex.org/W2002539819","https://openalex.org/W2017708288","https://openalex.org/W2030218419","https://openalex.org/W2036631869","https://openalex.org/W2047684525","https://openalex.org/W2147072068","https://openalex.org/W2404066450","https://openalex.org/W2609533872","https://openalex.org/W2963027196","https://openalex.org/W3098568481","https://openalex.org/W3098781625","https://openalex.org/W3099027888","https://openalex.org/W3212292137"],"related_works":["https://openalex.org/W1928759356","https://openalex.org/W2951317446","https://openalex.org/W2739115570","https://openalex.org/W1995706333","https://openalex.org/W4303441394","https://openalex.org/W2031415523","https://openalex.org/W4297992628","https://openalex.org/W2111764145","https://openalex.org/W41552633","https://openalex.org/W2216727570"],"abstract_inverted_index":{"Similar":[0],"to":[1,33],"the":[2,27,34,63,88],"symplectic":[3],"cases,":[4],"there":[5],"is":[6],"a":[7,15,56],"family":[8],"of":[9,26,36,91],"14":[10,28,70],"orthogonal":[11,29,89],"hypergeometric":[12,30,71],"groups":[13,31,90],"with":[14],"maximally":[16],"unipotent":[17],"monodromy":[18],"(cf.":[19,58],"Table":[20,59],"1).":[21],"We":[22,53],"show":[23],"that":[24,87],"2":[25],"associated":[32],"pairs":[35],"parameters":[37],"(0,":[38,45],"0,":[39,40,41,46,47,48],"0),":[42,49],"(16,16,56,56,12)":[43],"and":[44,73],"(14,14,34,34,12)":[50],"are":[51],"arithmetic.":[52],"also":[54],"give":[55],"table":[57],"2)":[60],"which":[61],"lists":[62],"quadratic":[64,93],"forms":[65,94],"Q":[66],"preserved":[67],"by":[68],"these":[69,92],"groups,":[72],"their":[74],"two":[75],"linearly":[76],"independent":[77],"Q-orthogonal":[78],"isotropic":[79],"vectors":[80],"in":[81,85],"Q5;":[82],"it":[83],"shows":[84],"particular":[86],"have":[95],"Q-rank":[96],"two.":[97]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
