Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2102531566', 'doi': 'https://doi.org/10.1007/s11425-013-4734-6', 'title': 'An interesting identity and asymptotic formula related to the Dedekind sums', 'display_name': 'An interesting identity and asymptotic formula related to the Dedekind sums', 'publication_year': 2013, 'publication_date': '2013-10-01', 'ids': {'openalex': 'https://openalex.org/W2102531566', 'doi': 'https://doi.org/10.1007/s11425-013-4734-6', 'mag': '2102531566'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s11425-013-4734-6', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S18344391', 'display_name': 'Science China Mathematics', 'issn_l': '1869-1862', 'issn': ['1869-1862', '1674-7283'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319965', 'host_organization_name': 'Springer Nature', 'host_organization_lineage': ['https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Springer Nature'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], '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/A5004781178', 'display_name': 'Zhefeng Xu', 'orcid': 'https://orcid.org/0000-0002-5647-4948'}, 'institutions': [{'id': 'https://openalex.org/I36819085', 'display_name': 'Northwest University', 'ror': 'https://ror.org/00y7snj24', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I36819085']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'ZheFeng Xu', 'raw_affiliation_strings': ['NorthWest University'], 'affiliations': [{'raw_affiliation_string': 'NorthWest University', 'institution_ids': ['https://openalex.org/I36819085']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5100691212', 'display_name': 'Wenpeng Zhang', 'orcid': 'https://orcid.org/0000-0002-2560-3559'}, 'institutions': [{'id': 'https://openalex.org/I36819085', 'display_name': 'Northwest University', 'ror': 'https://ror.org/00y7snj24', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I36819085']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'WenPeng Zhang', 'raw_affiliation_strings': ['NorthWest University'], 'affiliations': [{'raw_affiliation_string': 'NorthWest University', 'institution_ids': ['https://openalex.org/I36819085']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 2290, 'currency': 'EUR', 'value_usd': 2890, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': True, 'fulltext_origin': 'ngrams', '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': 65}, 'biblio': {'volume': '57', 'issue': '3', 'first_page': '659', 'last_page': '663'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11166', 'display_name': 'Prime Number Theory and L-Functions', 'score': 0.9999, '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/T11166', 'display_name': 'Prime Number Theory and L-Functions', 'score': 0.9999, '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/T11428', 'display_name': 'Arithmetic of Multiple Zeta Values and Related Functions', 'score': 0.9998, '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/T14500', 'display_name': 'Advancements in Mathematics and Mathematical Physics', 'score': 0.9996, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/dedekind-sum', 'display_name': 'Dedekind sum', 'score': 0.87209404}, {'id': 'https://openalex.org/keywords/gauss-sum', 'display_name': 'Gauss sum', 'score': 0.73754436}, {'id': 'https://openalex.org/keywords/asymptotic-formula', 'display_name': 'Asymptotic formula', 'score': 0.68562496}, {'id': 'https://openalex.org/keywords/dedekind-eta-function', 'display_name': 'Dedekind eta function', 'score': 0.63029945}, {'id': 'https://openalex.org/keywords/value', 'display_name': 'Value (mathematics)', 'score': 0.5157893}, {'id': 'https://openalex.org/keywords/arithmetic-progressions', 'display_name': 'Arithmetic Progressions', 'score': 0.465569}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.9408376}, {'id': 'https://openalex.org/C183606055', 'wikidata': 'https://www.wikidata.org/wiki/Q2463775', 'display_name': 'Dedekind sum', 'level': 3, 'score': 0.87209404}, {'id': 'https://openalex.org/C186348414', 'wikidata': 'https://www.wikidata.org/wiki/Q526221', 'display_name': 'Gauss sum', 'level': 2, 'score': 0.73754436}, {'id': 'https://openalex.org/C2778355321', 'wikidata': 'https://www.wikidata.org/wiki/Q17079427', 'display_name': 'Identity (music)', 'level': 2, 'score': 0.72855747}, {'id': 'https://openalex.org/C24209939', 'wikidata': 'https://www.wikidata.org/wiki/Q752718', 'display_name': 'Asymptotic formula', 'level': 2, 'score': 0.68562496}, {'id': 'https://openalex.org/C76449584', 'wikidata': 'https://www.wikidata.org/wiki/Q851333', 'display_name': 'Dedekind cut', 'level': 2, 'score': 0.6498857}, {'id': 'https://openalex.org/C56357843', 'wikidata': 'https://www.wikidata.org/wiki/Q1182161', 'display_name': 'Dedekind eta function', 'level': 4, 'score': 0.63029945}, {'id': 'https://openalex.org/C161794534', 'wikidata': 'https://www.wikidata.org/wiki/Q177493', 'display_name': 'Gauss', 'level': 2, 'score': 0.566409}, {'id': 'https://openalex.org/C2776291640', 'wikidata': 'https://www.wikidata.org/wiki/Q2912517', 'display_name': 'Value (mathematics)', 'level': 2, 'score': 0.5157893}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.4993539}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.25639248}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.15896502}, {'id': 'https://openalex.org/C75764964', 'wikidata': 'https://www.wikidata.org/wiki/Q870797', 'display_name': 'Modular form', 'level': 2, 'score': 0.07981554}, {'id': 'https://openalex.org/C133835828', 'wikidata': 'https://www.wikidata.org/wiki/Q1313257', 'display_name': 'Eisenstein series', 'level': 3, 'score': 0.05483848}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.0}, {'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/C24890656', 'wikidata': 'https://www.wikidata.org/wiki/Q82811', 'display_name': 'Acoustics', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s11425-013-4734-6', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S18344391', 'display_name': 'Science China Mathematics', 'issn_l': '1869-1862', 'issn': ['1869-1862', '1674-7283'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319965', 'host_organization_name': 'Springer Nature', 'host_organization_lineage': ['https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Springer Nature'], 'type': 'journal'}, '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': 12, 'referenced_works': ['https://openalex.org/W1542908046', 'https://openalex.org/W1575834508', 'https://openalex.org/W1784809380', 'https://openalex.org/W1977289991', 'https://openalex.org/W2026687964', 'https://openalex.org/W2087594669', 'https://openalex.org/W2087727626', 'https://openalex.org/W2089321060', 'https://openalex.org/W4213029550', 'https://openalex.org/W4250030641', 'https://openalex.org/W4297756508', 'https://openalex.org/W4323540173'], 'related_works': ['https://openalex.org/W4300952726', 'https://openalex.org/W4298224166', 'https://openalex.org/W2949460333', 'https://openalex.org/W2891743814', 'https://openalex.org/W2890051578', 'https://openalex.org/W2468561932', 'https://openalex.org/W2170126841', 'https://openalex.org/W2102531566', 'https://openalex.org/W2030128827', 'https://openalex.org/W1977449272'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2102531566', 'counts_by_year': [], 'updated_date': '2024-09-15T05:04:38.049808', 'created_date': '2016-06-24'}