{"id":"https://openalex.org/W2169949854","doi":"https://doi.org/10.1112/jlms/jdu016","title":"On integral kernels for Dirichlet series associated to Jacobi forms","display_name":"On integral kernels for Dirichlet series associated to Jacobi forms","publication_year":2014,"publication_date":"2014-05-20","ids":{"openalex":"https://openalex.org/W2169949854","doi":"https://doi.org/10.1112/jlms/jdu016","mag":"2169949854"},"language":"en","primary_location":{"id":"doi:10.1112/jlms/jdu016","is_oa":false,"landing_page_url":"https://doi.org/10.1112/jlms/jdu016","pdf_url":null,"source":{"id":"https://openalex.org/S4210207695","display_name":"Journal of the London Mathematical Society","issn_l":"0024-6107","issn":["0024-6107","1469-7750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the London Mathematical Society","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3309838","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053673618","display_name":"Yves Martin","orcid":"https://orcid.org/0000-0002-1006-5540"},"institutions":[{"id":"https://openalex.org/I69737025","display_name":"University of Chile","ror":"https://ror.org/047gc3g35","country_code":"CL","type":"education","lineage":["https://openalex.org/I69737025"]}],"countries":["CL"],"is_corresponding":true,"raw_author_name":"Yves Martin","raw_affiliation_strings":["Departamento de Matema\u0301ticas, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile","Departamento de Matem\u00e1ticas, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile"],"affiliations":[{"raw_affiliation_string":"Departamento de Matema\u0301ticas, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile","institution_ids":["https://openalex.org/I69737025"]},{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile","institution_ids":["https://openalex.org/I69737025"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5053673618"],"corresponding_institution_ids":["https://openalex.org/I69737025"],"apc_list":{"value":3710,"currency":"USD","value_usd":3710},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.17797426,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"90","issue":"1","first_page":"67","last_page":"88"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.9998999834060669,"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":0.9998999834060669,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9977999925613403,"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"}},{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.993399977684021,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7619602680206299},{"id":"https://openalex.org/keywords/cusp","display_name":"Cusp (singularity)","score":0.7409073114395142},{"id":"https://openalex.org/keywords/dirichlet-series","display_name":"Dirichlet series","score":0.7136780023574829},{"id":"https://openalex.org/keywords/dirichlet-integral","display_name":"Dirichlet integral","score":0.6043922901153564},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.5630851984024048},{"id":"https://openalex.org/keywords/dirichlet-eta-function","display_name":"Dirichlet eta function","score":0.5037869811058044},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.49495285749435425},{"id":"https://openalex.org/keywords/general-dirichlet-series","display_name":"General Dirichlet series","score":0.4778135120868683},{"id":"https://openalex.org/keywords/continuation","display_name":"Continuation","score":0.4478519558906555},{"id":"https://openalex.org/keywords/analytic-continuation","display_name":"Analytic continuation","score":0.43724873661994934},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.4250674843788147},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4239906072616577},{"id":"https://openalex.org/keywords/dirichlet-kernel","display_name":"Dirichlet kernel","score":0.42003798484802246},{"id":"https://openalex.org/keywords/dirichlet-problem","display_name":"Dirichlet problem","score":0.41977429389953613},{"id":"https://openalex.org/keywords/dirichlet-distribution","display_name":"Dirichlet distribution","score":0.4124101996421814},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3981189429759979},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07869833707809448},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07260924577713013}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7619602680206299},{"id":"https://openalex.org/C2778400075","wikidata":"https://www.wikidata.org/wiki/Q655275","display_name":"Cusp (singularity)","level":2,"score":0.7409073114395142},{"id":"https://openalex.org/C207803063","wikidata":"https://www.wikidata.org/wiki/Q620595","display_name":"Dirichlet series","level":4,"score":0.7136780023574829},{"id":"https://openalex.org/C7402137","wikidata":"https://www.wikidata.org/wiki/Q778099","display_name":"Dirichlet integral","level":5,"score":0.6043922901153564},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5630851984024048},{"id":"https://openalex.org/C112411267","wikidata":"https://www.wikidata.org/wiki/Q973313","display_name":"Dirichlet eta function","level":5,"score":0.5037869811058044},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.49495285749435425},{"id":"https://openalex.org/C101257415","wikidata":"https://www.wikidata.org/wiki/Q5531838","display_name":"General Dirichlet series","level":5,"score":0.4778135120868683},{"id":"https://openalex.org/C88626702","wikidata":"https://www.wikidata.org/wiki/Q1128903","display_name":"Continuation","level":2,"score":0.4478519558906555},{"id":"https://openalex.org/C151602998","wikidata":"https://www.wikidata.org/wiki/Q485287","display_name":"Analytic continuation","level":2,"score":0.43724873661994934},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.4250674843788147},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4239906072616577},{"id":"https://openalex.org/C20444455","wikidata":"https://www.wikidata.org/wiki/Q906024","display_name":"Dirichlet kernel","level":5,"score":0.42003798484802246},{"id":"https://openalex.org/C2779560616","wikidata":"https://www.wikidata.org/wiki/Q1192869","display_name":"Dirichlet problem","level":3,"score":0.41977429389953613},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.4124101996421814},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3981189429759979},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07869833707809448},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07260924577713013},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1112/jlms/jdu016","is_oa":false,"landing_page_url":"https://doi.org/10.1112/jlms/jdu016","pdf_url":null,"source":{"id":"https://openalex.org/S4210207695","display_name":"Journal of the London Mathematical Society","issn_l":"0024-6107","issn":["0024-6107","1469-7750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the London Mathematical Society","raw_type":"journal-article"},{"id":"pmh:oai:americanae.aecid.es:3309838","is_oa":true,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3309838","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"JOURNAL OF THE LONDON MATHEMATICAL SOCIETY","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:localhost:10533/135125","is_oa":true,"landing_page_url":"http://hdl.handle.net/10533/135125","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"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":"JOURNAL OF THE LONDON MATHEMATICAL SOCIETY","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:americanae.aecid.es:3309838","is_oa":true,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3309838","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"JOURNAL OF THE LONDON MATHEMATICAL SOCIETY","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W171999987","https://openalex.org/W1486105566","https://openalex.org/W1596766872","https://openalex.org/W1990143975","https://openalex.org/W1996426135","https://openalex.org/W1998935705","https://openalex.org/W2000665423","https://openalex.org/W2001656057","https://openalex.org/W2012523466","https://openalex.org/W2017342363","https://openalex.org/W2026402072","https://openalex.org/W2027295189","https://openalex.org/W2085034802","https://openalex.org/W2124571104","https://openalex.org/W2157005274","https://openalex.org/W2161326802","https://openalex.org/W2232906636","https://openalex.org/W2604330053","https://openalex.org/W2955491277","https://openalex.org/W3119264854","https://openalex.org/W6672267755","https://openalex.org/W6794028373","https://openalex.org/W7053081358"],"related_works":["https://openalex.org/W1900690426","https://openalex.org/W2220337305","https://openalex.org/W4231391388","https://openalex.org/W4213252363","https://openalex.org/W2018054561","https://openalex.org/W2353890742","https://openalex.org/W2347384406","https://openalex.org/W4323314467","https://openalex.org/W2113810212","https://openalex.org/W1588679683"],"abstract_inverted_index":{"Every":[0],"Jacobi":[1,78,87],"cusp":[2,79],"form":[3],"of":[4,46,57,86,98],"weight":[5],"k":[6],"and":[7,81,102],"index":[8],"m":[9,24,64],"over":[10],"SL":[11],"2":[12,18,23,63],"(":[13],"Z":[14,17],")":[15],"\u22c9":[16],"is":[19,42],"in":[20,84],"correspondence":[21],"with":[22,28],"Dirichlet":[25,65,108],"series":[26,66,109],"constructed":[27],"its":[29],"Fourier":[30],"coefficients.":[31],"The":[32],"standard":[33],"way":[34],"to":[35,39],"get":[36],"from":[37],"one":[38],"the":[40,47,62,68,99,107],"other":[41],"by":[43,106],"a":[44,55,95],"variation":[45],"Mellin":[48],"transform.":[49],"In":[50],"this":[51],"paper,":[52],"we":[53,93],"introduce":[54],"set":[56],"integral":[58],"kernels":[59,76],"which":[60],"yield":[61],"via":[67],"Petersson":[69],"inner":[70],"product.":[71],"We":[72],"show":[73],"that":[74],"those":[75],"are":[77],"forms":[80],"express":[82],"them":[83],"terms":[85],"Poincar\u00e9":[88],"series.":[89],"As":[90],"an":[91],"application,":[92],"give":[94],"new":[96],"proof":[97],"analytic":[100],"continuation":[101],"functional":[103],"equations":[104],"satisfied":[105],"mentioned":[110],"above.":[111]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}