{"_buckets": {"deposit": "6c0d0851-c7f7-434e-8cd7-8cc0aacb246c"}, "_deposit": {"created_by": 8, "id": "2019590", "owner": "8", "owners": [8], "owners_ext": {"displayname": "ryukyu_lib", "username": null}, "pid": {"revision_id": 0, "type": "depid", "value": "2019590"}, "status": "published"}, "_oai": {"id": "oai:u-ryukyu.repo.nii.ac.jp:02019590", "sets": ["1673327664723", "1642838406414"]}, "author_link": [], "item_1617186331708": {"attribute_name": "Title", "attribute_value_mlt": [{"subitem_1551255647225": "LINEAR RELATIONS FOR BERNOULLI NUMBERS AND ITS APPLICATION TO CONGRUENCES INVOLVING HARMONIC SUMS", "subitem_1551255648112": "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_1522299639480": "open access", "subitem_1600958577026": "http://purl.org/coar/access_right/c_abf2"}]}, "item_1617186609386": {"attribute_name": "Subject", "attribute_value_mlt": [{"subitem_1522299896455": "en", "subitem_1522300014469": "Other", "subitem_1523261968819": "Binomial coefficients"}, {"subitem_1522299896455": "en", "subitem_1522300014469": "Other", "subitem_1523261968819": "harmonic sums"}, {"subitem_1522299896455": "en", "subitem_1522300014469": "Other", "subitem_1523261968819": "congruence relations"}, {"subitem_1522299896455": "en", "subitem_1522300014469": "Other", "subitem_1523261968819": "umbral calculus"}, {"subitem_1522299896455": "en", "subitem_1522300014469": "Other", "subitem_1523261968819": "Bernoulli numbers"}]}, "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_1522300295150": "ja", "subitem_1522300316516": "\u7409\u7403\u5927\u5b66\u7406\u5b66\u90e8\u6570\u7406\u79d1\u5b66\u6559\u5ba4"}]}, "item_1617186702042": {"attribute_name": "Language", "attribute_value_mlt": [{"subitem_1551255818386": "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_1522646500366": "EISSN", "subitem_1522646572813": "2434-6071"}]}, "item_1617186941041": {"attribute_name": "Source Title", "attribute_value_mlt": [{"subitem_1522650068558": "en", "subitem_1522650091861": "Ryukyu Mathematical Journal"}]}, "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_1522305645492": "VoR", "subitem_1600292170262": "http://purl.org/coar/version/c_970fb48d4fbd8a85"}]}, "item_1617605131499": {"attribute_name": "File", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_access", "date": [{"dateType": "Available", "dateValue": "2023-01-10"}], "download_preview_message": "", "file_order": 0, "filename": "vol35p001.pdf", "filesize": [{"value": "617 KB"}], "future_date_message": "", "is_thumbnail": false, "mimetype": "", "size": 617000.0, "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"], "permalink_uri": "https://doi.org/10.24564/0002019590", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2023-01-10"}, "publish_date": "2023-01-10", "publish_status": "0", "recid": "2019590", "relation": {}, "relation_version_is_last": true, "title": ["LINEAR RELATIONS FOR BERNOULLI NUMBERS AND ITS APPLICATION TO CONGRUENCES INVOLVING HARMONIC SUMS"], "weko_shared_id": -1}