{"id":"https://openalex.org/W325178361","doi":"https://doi.org/10.1080/10586458.2005.10128910","title":"Special Values of the Standard Zeta Functions for Elliptic Modular Forms","display_name":"Special Values of the Standard Zeta Functions for Elliptic Modular Forms","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W325178361","doi":"https://doi.org/10.1080/10586458.2005.10128910","mag":"325178361"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2005.10128910","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2005.10128910","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":null,"license_id":null,"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":"green","oa_url":"https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69439/1/pre632.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041962035","display_name":"Hidenori Katsurada","orcid":null},"institutions":[{"id":"https://openalex.org/I41725924","display_name":"Muroran Institute of Technology","ror":"https://ror.org/04rymkk69","country_code":"JP","type":"education","lineage":["https://openalex.org/I41725924"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Hidenori Katsurada","raw_affiliation_strings":["Muroran Institute of Technology, 27-1 Mizumoto, Muroran, 050-8585, Japan","Muroran Institute of Technology, 27-1 Mizumoto, Muroran 050-8585, #N#Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Muroran Institute of Technology, 27-1 Mizumoto, Muroran, 050-8585, Japan","institution_ids":["https://openalex.org/I41725924"]},{"raw_affiliation_string":"Muroran Institute of Technology, 27-1 Mizumoto, Muroran 050-8585, #N#Japan","institution_ids":["https://openalex.org/I41725924"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5041962035"],"corresponding_institution_ids":["https://openalex.org/I41725924"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.02400185,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"14","issue":"1","first_page":"27","last_page":"45"},"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/T11428","display_name":"Advanced Mathematical Identities","score":0.9987000226974487,"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":0.9968000054359436,"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/modular-design","display_name":"Modular design","score":0.5814968943595886},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48932144045829773},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.43689677119255066},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3797125816345215},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36143410205841064},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.25665003061294556},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2345139980316162}],"concepts":[{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.5814968943595886},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48932144045829773},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.43689677119255066},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3797125816345215},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36143410205841064},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.25665003061294556},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2345139980316162},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1080/10586458.2005.10128910","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2005.10128910","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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:EPrintsHUMATH:106","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922805","display_name":"EPrints - Department of Mathematics, Hokkaido University","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":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Preprint Series of Department of Mathematics, Hokkaido University","raw_type":"Preprint"},{"id":"pmh:oai:eprints.lib.hokudai.ac.jp:2115/69439","is_oa":true,"landing_page_url":"http://hdl.handle.net/2115/69439","pdf_url":"https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69439/1/pre632.pdf","source":{"id":"https://openalex.org/S4306400549","display_name":"Hokkaido University Collection of Scholarly and Academic Papers (Hokkaido University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205349734","host_organization_name":"Hokkaido University","host_organization_lineage":["https://openalex.org/I205349734"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"bulletin (article)"},{"id":"pmh:oai:irdb.nii.ac.jp:01364:0000893008","is_oa":true,"landing_page_url":"https://hdl.handle.net/2115/69439","pdf_url":"https://eprints.lib.hokudai.ac.jp/repo/huscap/all/69439/re632.pdf","source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Hokkaido University Preprint Series in Mathematics","raw_type":"departmental bulletin paper"},{"id":"pmh:oai:CULeuclid:euclid.em/1120145568","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.em/1120145568","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"","raw_type":"Text"},{"id":"mag:325178361","is_oa":false,"landing_page_url":"https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69439/1/pre632.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306523113","display_name":"Preprint Series of Department of Mathematics, Hokkaido University","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":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Preprint Series of Department of Mathematics, Hokkaido University","raw_type":null}],"best_oa_location":{"id":"pmh:oai:eprints.lib.hokudai.ac.jp:2115/69439","is_oa":true,"landing_page_url":"http://hdl.handle.net/2115/69439","pdf_url":"https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69439/1/pre632.pdf","source":{"id":"https://openalex.org/S4306400549","display_name":"Hokkaido University Collection of Scholarly and Academic Papers (Hokkaido University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205349734","host_organization_name":"Hokkaido University","host_organization_lineage":["https://openalex.org/I205349734"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"bulletin (article)"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W325178361.pdf","grobid_xml":"https://content.openalex.org/works/W325178361.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3012236894","https://openalex.org/W1977107512","https://openalex.org/W3100836390","https://openalex.org/W1586400328","https://openalex.org/W2609659218","https://openalex.org/W3008394556","https://openalex.org/W2787962180","https://openalex.org/W579229846","https://openalex.org/W2798715868","https://openalex.org/W2900904601","https://openalex.org/W3193394183","https://openalex.org/W1653317602","https://openalex.org/W2948377591","https://openalex.org/W2949086990","https://openalex.org/W2950189640","https://openalex.org/W2056084698","https://openalex.org/W2002907065","https://openalex.org/W2965817088","https://openalex.org/W3100563633","https://openalex.org/W309731125"],"abstract_inverted_index":{"We":[0],"give":[1],"an":[2],"algorithm":[3],"for":[4,23],"computing":[5],"the":[6,20,24],"special":[7],"values":[8],"of":[9,14,27],"twisted":[10],"standard":[11],"zeta":[12],"functions":[13],"elliptic":[15],"modular":[16],"forms":[17],"by":[18],"using":[19],"pullback":[21],"formula":[22],"Siegel-Eisenstein":[25],"series":[26],"degree":[28],"2.":[29]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-04T08:30:34.212998","created_date":"2025-10-10T00:00:00"}
