Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2029447994', 'doi': 'https://doi.org/10.1007/bf01405203', 'title': 'Some consequences of the Riemann hypothesis for varieties over finite fields', 'display_name': 'Some consequences of the Riemann hypothesis for varieties over finite fields', 'publication_year': 1974, 'publication_date': '1974-03-01', 'ids': {'openalex': 'https://openalex.org/W2029447994', 'doi': 'https://doi.org/10.1007/bf01405203', 'mag': '2029447994'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/bf01405203', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S98347115', 'display_name': 'Inventiones mathematicae', 'issn_l': '0020-9910', 'issn': ['0020-9910', '1432-1297'], '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/A5083659499', 'display_name': 'Nicholas M. Katz', 'orcid': 'https://orcid.org/0000-0001-9428-6844'}, 'institutions': [{'id': 'https://openalex.org/I20089843', 'display_name': 'Princeton University', 'ror': 'https://ror.org/00hx57361', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I20089843']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Nicholas M. Katz', 'raw_affiliation_strings': ['Department of Mathematics, Princeton University, Princeton, USA'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, Princeton University, Princeton, USA', 'institution_ids': ['https://openalex.org/I20089843']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5005985139', 'display_name': 'William Messing', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I4210110987', 'display_name': 'IIT@MIT', 'ror': 'https://ror.org/01wp8zh54', 'country_code': 'US', 'type': 'facility', 'lineage': ['https://openalex.org/I30771326', 'https://openalex.org/I4210110987']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'William Messing', 'raw_affiliation_strings': ['Dept of Mathematics, MIT, Cambridge, USA'], 'affiliations': [{'raw_affiliation_string': 'Dept of Mathematics, MIT, Cambridge, USA', 'institution_ids': ['https://openalex.org/I4210110987']}]}], 'countries_distinct_count': 1, 'institutions_distinct_count': 2, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 2390, 'currency': 'EUR', 'value_usd': 2990, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 1.588, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 252, 'citation_normalized_percentile': {'value': 0.986351, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 98, 'max': 99}, 'biblio': {'volume': '23', 'issue': '1', 'first_page': '73', 'last_page': '77'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10061', 'display_name': 'Algebraic Geometry and Moduli Theory', 'score': 0.9992, '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'}}, 'topics': [{'id': 'https://openalex.org/T10061', 'display_name': 'Algebraic Geometry and Moduli Theory', 'score': 0.9992, '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/T11166', 'display_name': 'Prime Number Theory and L-Functions', 'score': 0.9911, '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': 0.9903, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/motivic-cohomology', 'display_name': 'Motivic Cohomology', 'score': 0.514605}, {'id': 'https://openalex.org/keywords/algebraic-variety', 'display_name': 'Algebraic variety', 'score': 0.4649227}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.9239366}, {'id': 'https://openalex.org/C78606066', 'wikidata': 'https://www.wikidata.org/wiki/Q1198376', 'display_name': 'Cohomology', 'level': 2, 'score': 0.8364738}, {'id': 'https://openalex.org/C45442697', 'wikidata': 'https://www.wikidata.org/wiki/Q8078429', 'display_name': 'Étale cohomology', 'level': 4, 'score': 0.71287894}, {'id': 'https://openalex.org/C84254916', 'wikidata': 'https://www.wikidata.org/wiki/Q2981889', 'display_name': 'Motivic cohomology', 'level': 5, 'score': 0.62762564}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.6052601}, {'id': 'https://openalex.org/C199479865', 'wikidata': 'https://www.wikidata.org/wiki/Q205966', 'display_name': 'Riemann hypothesis', 'level': 2, 'score': 0.6016592}, {'id': 'https://openalex.org/C165761256', 'wikidata': 'https://www.wikidata.org/wiki/Q648995', 'display_name': 'Algebraic variety', 'level': 3, 'score': 0.4649227}, {'id': 'https://openalex.org/C9376300', 'wikidata': 'https://www.wikidata.org/wiki/Q168817', 'display_name': 'Algebraic number', 'level': 2, 'score': 0.43834233}, {'id': 'https://openalex.org/C68365058', 'wikidata': 'https://www.wikidata.org/wiki/Q1179446', 'display_name': 'De Rham cohomology', 'level': 4, 'score': 0.40583986}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.3990311}, {'id': 'https://openalex.org/C155751095', 'wikidata': 'https://www.wikidata.org/wiki/Q1408937', 'display_name': 'Group cohomology', 'level': 3, 'score': 0.3828404}, {'id': 'https://openalex.org/C72738302', 'wikidata': 'https://www.wikidata.org/wiki/Q5384738', 'display_name': 'Equivariant cohomology', 'level': 3, 'score': 0.2950762}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.19362801}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/bf01405203', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S98347115', 'display_name': 'Inventiones mathematicae', 'issn_l': '0020-9910', 'issn': ['0020-9910', '1432-1297'], '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': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 1, 'referenced_works': ['https://openalex.org/W2402163452'], 'related_works': ['https://openalex.org/W4300751040', 'https://openalex.org/W3116699893', 'https://openalex.org/W3100282197', 'https://openalex.org/W2895793173', 'https://openalex.org/W2748655103', 'https://openalex.org/W2624810412', 'https://openalex.org/W2161066901', 'https://openalex.org/W2159329752', 'https://openalex.org/W1990583353', 'https://openalex.org/W1622013983'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2029447994', 'counts_by_year': [{'year': 2024, 'cited_by_count': 3}, {'year': 2023, 'cited_by_count': 3}, {'year': 2022, 'cited_by_count': 8}, {'year': 2021, 'cited_by_count': 12}, {'year': 2020, 'cited_by_count': 12}, {'year': 2019, 'cited_by_count': 18}, {'year': 2018, 'cited_by_count': 11}, {'year': 2017, 'cited_by_count': 9}, {'year': 2016, 'cited_by_count': 6}, {'year': 2015, 'cited_by_count': 6}, {'year': 2014, 'cited_by_count': 13}, {'year': 2013, 'cited_by_count': 3}, {'year': 2012, 'cited_by_count': 8}], 'updated_date': '2024-08-31T18:16:14.914595', 'created_date': '2016-06-24'}