{"id":"https://openalex.org/W375412376","doi":null,"title":"Results of double zeta values related to modular forms on full modular group and Ramanujan's formula for Bernoulli numbers (Automorphic Forms and Related Zeta Functions)","display_name":"Results of double zeta values related to modular forms on full modular group and Ramanujan's formula for Bernoulli numbers (Automorphic Forms and Related Zeta Functions)","publication_year":2015,"publication_date":"2015-02-01","ids":{"openalex":"https://openalex.org/W375412376","mag":"375412376"},"language":"en","primary_location":{"id":"pmh:oai:irdb.nii.ac.jp:01221:0000179151","doi":null,"is_oa":true,"landing_page_url":"https://repository.kulib.kyoto-u.ac.jp/bitstreams/42506b83-4c4c-4478-a07a-39f17a83377b/download","pdf_url":"https://repository.kulib.kyoto-u.ac.jp/bitstreams/42506b83-4c4c-4478-a07a-39f17a83377b/download","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,"listed_in":[],"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":"\u6570\u7406\u89e3\u6790\u7814\u7a76\u6240\u8b1b\u7a76\u9332","raw_type":"departmental bulletin paper"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://repository.kulib.kyoto-u.ac.jp/bitstreams/42506b83-4c4c-4478-a07a-39f17a83377b/download","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089448891","display_name":"Tomoya Machide","orcid":"https://orcid.org/0000-0002-1996-7233","observed_orcids":["https://orcid.org/0000-0002-1996-7233"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"\u667a\u4e5f \u753a\u51fa","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5089448891"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00410004,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1934","issue":"1934","first_page":"138","last_page":"145"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9994999766349792,"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":0.9994999766349792,"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":0.0005000000237487257,"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/T11680","display_name":"Advanced Algebra and Geometry","score":9.999999747378752e-05,"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/double-zeta-values","display_name":"double zeta values","score":0.996999979019165},{"id":"https://openalex.org/keywords/modular-forms","display_name":"modular forms","score":0.8999999761581421},{"id":"https://openalex.org/keywords/full-modular-group","display_name":"full modular group","score":0.984000027179718},{"id":"https://openalex.org/keywords/ramanujan-s-formula","display_name":"Ramanujan's formula","score":0.9869999885559082},{"id":"https://openalex.org/keywords/bernoulli-numbers","display_name":"Bernoulli numbers","score":0.9639999866485596},{"id":"https://openalex.org/keywords/automorphic-forms","display_name":"automorphic forms","score":0.6570000052452087},{"id":"https://openalex.org/keywords/zeta-functions","display_name":"zeta functions","score":0.8489999771118164}],"concepts":[{"id":"https://openalex.org/C131220774","wikidata":"https://www.wikidata.org/wiki/Q1441456","display_name":"Ramanujan's sum","level":2,"score":0.9269506931304932},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.746228039264679},{"id":"https://openalex.org/C129960964","wikidata":"https://www.wikidata.org/wiki/Q694114","display_name":"Bernoulli number","level":2,"score":0.6640024185180664},{"id":"https://openalex.org/C202434901","wikidata":"https://www.wikidata.org/wiki/Q4826697","display_name":"Automorphic L-function","level":3,"score":0.5602275133132935},{"id":"https://openalex.org/C152361515","wikidata":"https://www.wikidata.org/wiki/Q181328","display_name":"Bernoulli's principle","level":2,"score":0.5530503392219543},{"id":"https://openalex.org/C132817261","wikidata":"https://www.wikidata.org/wiki/Q1134435","display_name":"Automorphic form","level":2,"score":0.5409653186798096},{"id":"https://openalex.org/C35861355","wikidata":"https://www.wikidata.org/wiki/Q4791135","display_name":"Arithmetic zeta function","level":3,"score":0.5297468900680542},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.48695075511932373},{"id":"https://openalex.org/C75764964","wikidata":"https://www.wikidata.org/wiki/Q870797","display_name":"Modular form","level":2,"score":0.4634523093700409},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4445230960845947},{"id":"https://openalex.org/C104559423","wikidata":"https://www.wikidata.org/wiki/Q6486192","display_name":"Langlands\u2013Shahidi method","level":3,"score":0.44298216700553894},{"id":"https://openalex.org/C133835828","wikidata":"https://www.wikidata.org/wiki/Q1313257","display_name":"Eisenstein series","level":3,"score":0.4152054190635681},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38044553995132446},{"id":"https://openalex.org/C35235930","wikidata":"https://www.wikidata.org/wiki/Q187235","display_name":"Riemann zeta function","level":2,"score":0.36148011684417725},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06908541917800903},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:irdb.nii.ac.jp:01221:0000179151","doi":null,"is_oa":true,"landing_page_url":"https://repository.kulib.kyoto-u.ac.jp/bitstreams/42506b83-4c4c-4478-a07a-39f17a83377b/download","pdf_url":"https://repository.kulib.kyoto-u.ac.jp/bitstreams/42506b83-4c4c-4478-a07a-39f17a83377b/download","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,"listed_in":[],"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":"\u6570\u7406\u89e3\u6790\u7814\u7a76\u6240\u8b1b\u7a76\u9332","raw_type":"departmental bulletin paper"},{"id":"pmh:oai:repository.kulib.kyoto-u.ac.jp:2433/223661","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/2433/223661","pdf_url":"https://repository.kulib.kyoto-u.ac.jp/server/api/core/bitstreams/42506b83-4c4c-4478-a07a-39f17a83377b/content","source":{"id":"https://openalex.org/S4306401454","display_name":"Kyoto University Research Information Repository (Kyoto University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I22299242","host_organization_name":"Kyoto University","host_organization_lineage":["https://openalex.org/I22299242"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Departmental Bulletin Paper"},{"id":"mag:375412376","doi":null,"is_oa":false,"landing_page_url":"http://ci.nii.ac.jp/naid/110009883307","pdf_url":null,"source":{"id":"https://openalex.org/S4306549803","display_name":"\u6570\u7406\u89e3\u6790\u7814\u7a76\u6240\u8b1b\u7a76\u9332","issn_l":"1880-2818","issn":["1880-2818","2760-7046"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1"],"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":false,"raw_source_name":"\u6570\u7406\u89e3\u6790\u7814\u7a76\u6240\u8b1b\u7a76\u9332","raw_type":null}],"best_oa_location":{"id":"pmh:oai:irdb.nii.ac.jp:01221:0000179151","doi":null,"is_oa":true,"landing_page_url":"https://repository.kulib.kyoto-u.ac.jp/bitstreams/42506b83-4c4c-4478-a07a-39f17a83377b/download","pdf_url":"https://repository.kulib.kyoto-u.ac.jp/bitstreams/42506b83-4c4c-4478-a07a-39f17a83377b/download","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,"listed_in":[],"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":"\u6570\u7406\u89e3\u6790\u7814\u7a76\u6240\u8b1b\u7a76\u9332","raw_type":"departmental bulletin paper"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W375412376.pdf","grobid_xml":"https://content.openalex.org/works/W375412376.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7009206417","https://openalex.org/W2040386085","https://openalex.org/W2023090587","https://openalex.org/W1970133722","https://openalex.org/W7170065749","https://openalex.org/W4386272922","https://openalex.org/W7096620360","https://openalex.org/W1966173516","https://openalex.org/W2093605047","https://openalex.org/W7017787068"],"abstract_inverted_index":{"modular":[0],"group":[1],"and":[2],"Ramanujan's":[3],"formula":[4],"for":[5],"Bernoulli":[6],"numbers":[7],"1":[8],"\u56fd\u7acb\u60c5\u5831\u5b66\u7814\u7a76\u6240":[9]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}
