Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2902563245', 'doi': 'https://doi.org/10.1007/s00209-018-2211-1', 'title': 'On the rate of convergence to zero of the measure of extremal sets in metric theory of transcendental numbers', 'display_name': 'On the rate of convergence to zero of the measure of extremal sets in metric theory of transcendental numbers', 'publication_year': 2018, 'publication_date': '2018-11-29', 'ids': {'openalex': 'https://openalex.org/W2902563245', 'doi': 'https://doi.org/10.1007/s00209-018-2211-1', 'mag': '2902563245'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s00209-018-2211-1', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S104894821', 'display_name': 'Mathematische Zeitschrift', 'issn_l': '0025-5874', 'issn': ['0025-5874', '1432-1823'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], '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/A5014362708', 'display_name': 'Natalia Budarina', 'orcid': 'https://orcid.org/0000-0002-0436-9396'}, 'institutions': [{'id': 'https://openalex.org/I94876832', 'display_name': 'Dundalk Institute of Technology', 'ror': 'https://ror.org/01800zd49', 'country_code': 'IE', 'type': 'education', 'lineage': ['https://openalex.org/I94876832']}], 'countries': ['IE'], 'is_corresponding': True, 'raw_author_name': 'Natalia Budarina', 'raw_affiliation_strings': ['Dundalk Institute of Technology, Dublin Road, Dundalk, Republic of Ireland'], 'affiliations': [{'raw_affiliation_string': 'Dundalk Institute of Technology, Dublin Road, Dundalk, Republic of Ireland', 'institution_ids': ['https://openalex.org/I94876832']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5014362708'], 'corresponding_institution_ids': ['https://openalex.org/I94876832'], 'apc_list': {'value': 2390, 'currency': 'EUR', 'value_usd': 2990, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 1.325, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 5, 'citation_normalized_percentile': {'value': 0.675924, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 79, 'max': 81}, 'biblio': {'volume': '293', 'issue': '1-2', 'first_page': '809', 'last_page': '824'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T12812', 'display_name': 'Complex Differential Equations and Meromorphic Functions', 'score': 0.9965, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied Mathematics'}, '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/T12812', 'display_name': 'Complex Differential Equations and Meromorphic Functions', 'score': 0.9965, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied Mathematics'}, '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/T11822', 'display_name': 'Geometric Function Theory and Complex Analysis', 'score': 0.9923, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, '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/T10588', 'display_name': 'Dynamical Systems and Chaos Theory', 'score': 0.9882, '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/zero', 'display_name': 'Zero (linguistics)', 'score': 0.8291679}, {'id': 'https://openalex.org/keywords/coefficient-estimates', 'display_name': 'Coefficient Estimates', 'score': 0.434555}, {'id': 'https://openalex.org/keywords/degree', 'display_name': 'Degree (music)', 'score': 0.422769}, {'id': 'https://openalex.org/keywords/null-set', 'display_name': 'Null set', 'score': 0.41508245}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.9324375}, {'id': 'https://openalex.org/C2780813799', 'wikidata': 'https://www.wikidata.org/wiki/Q3274237', 'display_name': 'Zero (linguistics)', 'level': 2, 'score': 0.8291679}, {'id': 'https://openalex.org/C34388435', 'wikidata': 'https://www.wikidata.org/wiki/Q2267362', 'display_name': 'Bounded function', 'level': 2, 'score': 0.7124667}, {'id': 'https://openalex.org/C2780009758', 'wikidata': 'https://www.wikidata.org/wiki/Q6804172', 'display_name': 'Measure (data warehouse)', 'level': 2, 'score': 0.6969267}, {'id': 'https://openalex.org/C57869625', 'wikidata': 'https://www.wikidata.org/wiki/Q1783502', 'display_name': 'Rate of convergence', 'level': 3, 'score': 0.61056006}, {'id': 'https://openalex.org/C188370112', 'wikidata': 'https://www.wikidata.org/wiki/Q173091', 'display_name': 'Transcendental number', 'level': 2, 'score': 0.6071767}, {'id': 'https://openalex.org/C176217482', 'wikidata': 'https://www.wikidata.org/wiki/Q860554', 'display_name': 'Metric (unit)', 'level': 2, 'score': 0.5688282}, {'id': 'https://openalex.org/C2777303404', 'wikidata': 'https://www.wikidata.org/wiki/Q759757', 'display_name': 'Convergence (economics)', 'level': 2, 'score': 0.54823536}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.43758503}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.42898896}, {'id': 'https://openalex.org/C2775997480', 'wikidata': 'https://www.wikidata.org/wiki/Q586277', 'display_name': 'Degree (music)', 'level': 2, 'score': 0.422769}, {'id': 'https://openalex.org/C55375708', 'wikidata': 'https://www.wikidata.org/wiki/Q1201815', 'display_name': 'Null set', 'level': 3, 'score': 0.41508245}, {'id': 'https://openalex.org/C177264268', 'wikidata': 'https://www.wikidata.org/wiki/Q1514741', 'display_name': 'Set (abstract data type)', 'level': 2, 'score': 0.36334902}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.30983642}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C41895202', 'wikidata': 'https://www.wikidata.org/wiki/Q8162', 'display_name': 'Linguistics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C127162648', 'wikidata': 'https://www.wikidata.org/wiki/Q16858953', 'display_name': 'Channel (broadcasting)', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C21547014', 'wikidata': 'https://www.wikidata.org/wiki/Q1423657', 'display_name': 'Operations management', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C77088390', 'wikidata': 'https://www.wikidata.org/wiki/Q8513', 'display_name': 'Database', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C50522688', 'wikidata': 'https://www.wikidata.org/wiki/Q189833', 'display_name': 'Economic growth', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C24890656', 'wikidata': 'https://www.wikidata.org/wiki/Q82811', 'display_name': 'Acoustics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C119599485', 'wikidata': 'https://www.wikidata.org/wiki/Q43035', 'display_name': 'Electrical engineering', '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}, {'id': 'https://openalex.org/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C127413603', 'wikidata': 'https://www.wikidata.org/wiki/Q11023', 'display_name': 'Engineering', 'level': 0, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s00209-018-2211-1', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S104894821', 'display_name': 'Mathematische Zeitschrift', 'issn_l': '0025-5874', 'issn': ['0025-5874', '1432-1823'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [{'score': 0.6, 'id': 'https://metadata.un.org/sdg/10', 'display_name': 'Reduced inequalities'}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 11, 'referenced_works': ['https://openalex.org/W1023918294', 'https://openalex.org/W1569256320', 'https://openalex.org/W1898588690', 'https://openalex.org/W1973988314', 'https://openalex.org/W2036367527', 'https://openalex.org/W2041235052', 'https://openalex.org/W2085449185', 'https://openalex.org/W2136218417', 'https://openalex.org/W2962892939', 'https://openalex.org/W4300020039', 'https://openalex.org/W990060385'], 'related_works': ['https://openalex.org/W4298222623', 'https://openalex.org/W4286662932', 'https://openalex.org/W3005963735', 'https://openalex.org/W2988065782', 'https://openalex.org/W2952581459', 'https://openalex.org/W2952201315', 'https://openalex.org/W2472808954', 'https://openalex.org/W2031236739', 'https://openalex.org/W2008178201', 'https://openalex.org/W1572380573'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2902563245', 'counts_by_year': [{'year': 2022, 'cited_by_count': 1}, {'year': 2021, 'cited_by_count': 3}, {'year': 2019, 'cited_by_count': 1}], 'updated_date': '2024-09-18T03:52:37.481903', 'created_date': '2018-12-11'}