Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2367411209', 'doi': None, 'title': 'Congruences for higher order Euler numbers', 'display_name': 'Congruences for higher order Euler numbers', 'publication_year': 2005, 'publication_date': '2005-01-01', 'ids': {'openalex': 'https://openalex.org/W2367411209', 'mag': '2367411209'}, 'language': None, 'primary_location': {'is_oa': False, 'landing_page_url': 'http://en.cnki.com.cn/Article_en/CJFDTOTAL-CCSX200504010.htm', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S52343387', 'display_name': 'Pure and applied mathematics', 'issn_l': '0079-8169', 'issn': ['0079-8169', '2162-3481'], 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'book series'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': [], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5103555937', 'display_name': 'Liu Guo-Dong', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I93477617', 'display_name': 'Huizhou University', 'ror': 'https://ror.org/03q3s7962', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I93477617']}], 'countries': ['CN'], 'is_corresponding': True, 'raw_author_name': 'Liu Guo-dong', 'raw_affiliation_strings': ['Department of Mathematics,Huizhou University,Huizhou,Guangdong 516015,China)'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics,Huizhou University,Huizhou,Guangdong 516015,China)', 'institution_ids': ['https://openalex.org/I93477617']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5103555937'], 'corresponding_institution_ids': ['https://openalex.org/I93477617'], 'apc_list': None, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': False, 'cited_by_count': 0, 'citation_normalized_percentile': {'value': 0.0, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 0, 'max': 61}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11428', 'display_name': 'Arithmetic of Multiple Zeta Values and Related Functions', 'score': 0.9995, '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': 'Arithmetic of Multiple Zeta Values and Related Functions', 'score': 0.9995, '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': 'Prime Number Theory and L-Functions', 'score': 0.9896, '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/T10948', 'display_name': 'Combinatorial Mathematics and Algebraic Combinatorics', 'score': 0.9201, 'subfield': {'id': 'https://openalex.org/subfields/2607', 'display_name': 'Discrete Mathematics and Combinatorics'}, '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/congruence-relation', 'display_name': 'Congruence relation', 'score': 0.7664987}, {'id': 'https://openalex.org/keywords/supercongruences', 'display_name': 'Supercongruences', 'score': 0.751586}, {'id': 'https://openalex.org/keywords/combinatorics', 'display_name': 'Combinatorics', 'score': 0.583646}, {'id': 'https://openalex.org/keywords/arithmetic-progressions', 'display_name': 'Arithmetic Progressions', 'score': 0.576653}, {'id': "https://openalex.org/keywords/euler's-constant", 'display_name': "Euler's Constant", 'score': 0.567187}, {'id': 'https://openalex.org/keywords/polylogarithms', 'display_name': 'Polylogarithms', 'score': 0.566195}, {'id': 'https://openalex.org/keywords/euler-number', 'display_name': 'Euler number (physics)', 'score': 0.49518147}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.88514614}, {'id': 'https://openalex.org/C9973445', 'wikidata': 'https://www.wikidata.org/wiki/Q8349849', 'display_name': 'Congruence relation', 'level': 2, 'score': 0.7664987}, {'id': 'https://openalex.org/C182306322', 'wikidata': 'https://www.wikidata.org/wiki/Q1779371', 'display_name': 'Order (exchange)', 'level': 2, 'score': 0.5919398}, {'id': 'https://openalex.org/C62884695', 'wikidata': 'https://www.wikidata.org/wiki/Q184871', 'display_name': "Euler's formula", 'level': 2, 'score': 0.58953774}, {'id': 'https://openalex.org/C196102512', 'wikidata': 'https://www.wikidata.org/wiki/Q1340031', 'display_name': 'Euler number (physics)', 'level': 5, 'score': 0.49518147}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.4589878}, {'id': 'https://openalex.org/C93082080', 'wikidata': 'https://www.wikidata.org/wiki/Q5475314', 'display_name': 'Semi-implicit Euler method', 'level': 4, 'score': 0.33641323}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.28664854}, {'id': 'https://openalex.org/C768646', 'wikidata': 'https://www.wikidata.org/wiki/Q2736820', 'display_name': 'Backward Euler method', 'level': 3, 'score': 0.23878706}, {'id': 'https://openalex.org/C38409319', 'wikidata': 'https://www.wikidata.org/wiki/Q375175', 'display_name': 'Euler equations', 'level': 2, 'score': 0.17639568}, {'id': 'https://openalex.org/C10138342', 'wikidata': 'https://www.wikidata.org/wiki/Q43015', 'display_name': 'Finance', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C162324750', 'wikidata': 'https://www.wikidata.org/wiki/Q8134', 'display_name': 'Economics', 'level': 0, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'http://en.cnki.com.cn/Article_en/CJFDTOTAL-CCSX200504010.htm', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S52343387', 'display_name': 'Pure and applied mathematics', 'issn_l': '0079-8169', 'issn': ['0079-8169', '2162-3481'], 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'book series'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W55162297', 'https://openalex.org/W3213746338', 'https://openalex.org/W3153602394', 'https://openalex.org/W3009651097', 'https://openalex.org/W2992725449', 'https://openalex.org/W2739905843', 'https://openalex.org/W2384338886', 'https://openalex.org/W2372070376', 'https://openalex.org/W2356667276', 'https://openalex.org/W2349703342', 'https://openalex.org/W2108499931', 'https://openalex.org/W2102641372', 'https://openalex.org/W2084794386', 'https://openalex.org/W2051401759', 'https://openalex.org/W2026210817', 'https://openalex.org/W2024561368', 'https://openalex.org/W2015613844', 'https://openalex.org/W1970625165', 'https://openalex.org/W1652445081', 'https://openalex.org/W1494241922'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2367411209', 'counts_by_year': [], 'updated_date': '2024-09-18T18:48:21.899508', 'created_date': '2016-06-24'}