Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2068610715', 'doi': 'https://doi.org/10.1007/s002290070010', 'title': 'An elementary proof of a distribution relation¶on elliptic curves', 'display_name': 'An elementary proof of a distribution relation¶on elliptic curves', 'publication_year': 2000, 'publication_date': '2000-11-01', 'ids': {'openalex': 'https://openalex.org/W2068610715', 'doi': 'https://doi.org/10.1007/s002290070010', 'mag': '2068610715'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s002290070010', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S40116370', 'display_name': 'manuscripta mathematica', 'issn_l': '0025-2611', 'issn': ['0025-2611', '1432-1785'], '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/A5048832092', 'display_name': 'Frazer Jarvis', 'orcid': 'https://orcid.org/0000-0001-7254-489X'}, 'institutions': [{'id': 'https://openalex.org/I91136226', 'display_name': 'University of Sheffield', 'ror': 'https://ror.org/05krs5044', 'country_code': 'GB', 'type': 'education', 'lineage': ['https://openalex.org/I91136226']}], 'countries': ['GB'], 'is_corresponding': True, 'raw_author_name': 'Frazer Jarvis', 'raw_affiliation_strings': ['Department of Pure Mathematics, University of Sheffield, Sheffield S3 7RH, UK.¶'], 'affiliations': [{'raw_affiliation_string': 'Department of Pure Mathematics, University of Sheffield, Sheffield S3 7RH, UK.¶', 'institution_ids': ['https://openalex.org/I91136226']}]}], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5048832092'], 'corresponding_institution_ids': ['https://openalex.org/I91136226'], 'apc_list': {'value': 2290, 'currency': 'EUR', 'value_usd': 2890, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 0.516, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 4, 'citation_normalized_percentile': {'value': 0.46775, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 72, 'max': 74}, 'biblio': {'volume': '103', 'issue': '3', 'first_page': '329', 'last_page': '337'}, '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/T13234', 'display_name': 'p-adic Models in Mathematical Physics', 'score': 0.9899, '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'}}, {'id': 'https://openalex.org/T11166', 'display_name': 'Prime Number Theory and L-Functions', 'score': 0.9841, '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/elementary-proof', 'display_name': 'Elementary proof', 'score': 0.72272044}, {'id': 'https://openalex.org/keywords/supersingular-elliptic-curve', 'display_name': 'Supersingular elliptic curve', 'score': 0.57070524}, {'id': 'https://openalex.org/keywords/arithmetic-progressions', 'display_name': 'Arithmetic Progressions', 'score': 0.555444}, {'id': 'https://openalex.org/keywords/distribution-of-primes', 'display_name': 'Distribution of Primes', 'score': 0.554839}, {'id': 'https://openalex.org/keywords/diophantine-equations', 'display_name': 'Diophantine Equations', 'score': 0.54812}, {'id': 'https://openalex.org/keywords/symplectic-geometry', 'display_name': 'Symplectic Geometry', 'score': 0.535771}, {'id': 'https://openalex.org/keywords/gromov-witten-theory', 'display_name': 'Gromov-Witten Theory', 'score': 0.530626}], 'concepts': [{'id': 'https://openalex.org/C169654258', 'wikidata': 'https://www.wikidata.org/wiki/Q12479', 'display_name': 'Number theory', 'level': 2, 'score': 0.794084}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.7634381}, {'id': 'https://openalex.org/C2777478746', 'wikidata': 'https://www.wikidata.org/wiki/Q5358910', 'display_name': 'Elementary proof', 'level': 2, 'score': 0.72272044}, {'id': 'https://openalex.org/C68363185', 'wikidata': 'https://www.wikidata.org/wiki/Q180969', 'display_name': 'Algebraic geometry', 'level': 2, 'score': 0.6732452}, {'id': 'https://openalex.org/C157567686', 'wikidata': 'https://www.wikidata.org/wiki/Q7644139', 'display_name': 'Supersingular elliptic curve', 'level': 3, 'score': 0.57070524}, {'id': 'https://openalex.org/C110121322', 'wikidata': 'https://www.wikidata.org/wiki/Q865811', 'display_name': 'Distribution (mathematics)', 'level': 2, 'score': 0.50701237}, {'id': 'https://openalex.org/C179603306', 'wikidata': 'https://www.wikidata.org/wiki/Q268493', 'display_name': 'Elliptic curve', 'level': 2, 'score': 0.47455293}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.42273015}, {'id': 'https://openalex.org/C25343380', 'wikidata': 'https://www.wikidata.org/wiki/Q277521', 'display_name': 'Relation (database)', 'level': 2, 'score': 0.42076415}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.3865877}, {'id': 'https://openalex.org/C2777686260', 'wikidata': 'https://www.wikidata.org/wiki/Q144037', 'display_name': 'Calculus (dental)', 'level': 2, 'score': 0.3556444}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.25538558}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.1044175}, {'id': 'https://openalex.org/C71924100', 'wikidata': 'https://www.wikidata.org/wiki/Q11190', 'display_name': 'Medicine', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C199343813', 'wikidata': 'https://www.wikidata.org/wiki/Q12128', 'display_name': 'Dentistry', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C77088390', 'wikidata': 'https://www.wikidata.org/wiki/Q8513', 'display_name': 'Database', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s002290070010', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S40116370', 'display_name': 'manuscripta mathematica', 'issn_l': '0025-2611', 'issn': ['0025-2611', '1432-1785'], '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': 5, 'referenced_works': ['https://openalex.org/W1963919373', 'https://openalex.org/W2056860647', 'https://openalex.org/W2076619973', 'https://openalex.org/W2150952905', 'https://openalex.org/W430355229'], 'related_works': ['https://openalex.org/W4232351996', 'https://openalex.org/W2068610715', 'https://openalex.org/W2050260552', 'https://openalex.org/W2048009405', 'https://openalex.org/W2032984872', 'https://openalex.org/W2001850694', 'https://openalex.org/W1994694379', 'https://openalex.org/W1983010730', 'https://openalex.org/W1973395909', 'https://openalex.org/W1964309753'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2068610715', 'counts_by_year': [], 'updated_date': '2024-08-14T03:40:14.581482', 'created_date': '2016-06-24'}