{"created":"2023-01-10T05:19:42.769456+00:00","id":2019590,"links":{},"metadata":{"_buckets":{"deposit":"6c0d0851-c7f7-434e-8cd7-8cc0aacb246c"},"_deposit":{"created_by":8,"id":"2019590","owner":"8","owners":[8],"pid":{"revision_id":0,"type":"depid","value":"2019590"},"status":"published"},"_oai":{"id":"oai:u-ryukyu.repo.nii.ac.jp:02019590","sets":["1642837622505:1642837628262:1673327664723","1642838403551:1642838406414"]},"author_link":[],"item_1617186331708":{"attribute_name":"Title","attribute_value_mlt":[{"subitem_title":"LINEAR RELATIONS FOR BERNOULLI NUMBERS AND ITS APPLICATION TO CONGRUENCES INVOLVING HARMONIC SUMS","subitem_title_language":"en"}]},"item_1617186419668":{"attribute_name":"Creator","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Kimoto, Kazufumi","creatorNameLang":"en"}]}]},"item_1617186476635":{"attribute_name":"Access Rights","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_1617186609386":{"attribute_name":"Subject","attribute_value_mlt":[{"subitem_subject":"Binomial coefficients","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"harmonic sums","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"congruence relations","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"umbral calculus","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Bernoulli numbers","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"item_1617186626617":{"attribute_name":"Description","attribute_value_mlt":[{"subitem_description":"We show certain linear relations among Bernoulli numbers by using umbral calculus. As an application, we prove some congruence relations involving binomial coefficients and harmonic sums which appear in a certain supercongruence problem.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_1617186643794":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_publisher":"琉球大学理学部数理科学教室","subitem_publisher_language":"ja"}]},"item_1617186702042":{"attribute_name":"Language","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_1617186819068":{"attribute_name":"Identifier Registration","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.24564/0002019590","subitem_identifier_reg_type":"JaLC"}]},"item_1617186920753":{"attribute_name":"Source Identifier","attribute_value_mlt":[{"subitem_source_identifier":"2434-6071","subitem_source_identifier_type":"EISSN"}]},"item_1617186941041":{"attribute_name":"Source Title","attribute_value_mlt":[{"subitem_source_title":"Ryukyu Mathematical Journal","subitem_source_title_language":"en"}]},"item_1617187056579":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2022-12-28","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"11","bibliographicPageStart":"1","bibliographicVolumeNumber":"35"}]},"item_1617258105262":{"attribute_name":"Resource Type","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_1617265215918":{"attribute_name":"Version Type","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_1617605131499":{"attribute_name":"File","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2023-01-10"}],"filename":"vol35p001.pdf","filesize":[{"value":"617 KB"}],"url":{"objectType":"fulltext","url":"https://u-ryukyu.repo.nii.ac.jp/record/2019590/files/vol35p001.pdf"},"version_id":"e9f21c82-8163-45de-bbe7-f157a49f33ae"}]},"item_title":"LINEAR RELATIONS FOR BERNOULLI NUMBERS AND ITS APPLICATION TO CONGRUENCES INVOLVING HARMONIC SUMS","item_type_id":"59","owner":"8","path":["1673327664723","1642838406414"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2023-01-10"},"publish_date":"2023-01-10","publish_status":"0","recid":"2019590","relation_version_is_last":true,"title":["LINEAR RELATIONS FOR BERNOULLI NUMBERS AND ITS APPLICATION TO CONGRUENCES INVOLVING HARMONIC SUMS"],"weko_creator_id":"8","weko_shared_id":-1},"updated":"2023-01-10T05:32:22.129823+00:00"}