Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2908819724', 'doi': 'https://doi.org/10.1007/s10986-019-09420-5', 'title': 'On some explicit evaluations of nonlinear Euler sums', 'display_name': 'On some explicit evaluations of nonlinear Euler sums', 'publication_year': 2019, 'publication_date': '2019-01-18', 'ids': {'openalex': 'https://openalex.org/W2908819724', 'doi': 'https://doi.org/10.1007/s10986-019-09420-5', 'mag': '2908819724'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s10986-019-09420-5', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S85335245', 'display_name': 'Lithuanian Mathematical Journal', 'issn_l': '0363-1672', 'issn': ['0363-1672', '1573-8825'], 'is_oa': False, 'is_in_doaj': False, 'is_core': False, '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/A5101915302', 'display_name': 'Jichao Zhang', 'orcid': 'https://orcid.org/0009-0000-9002-6658'}, 'institutions': [{'id': 'https://openalex.org/I74525822', 'display_name': 'Hubei University of Technology', 'ror': 'https://ror.org/02d3fj342', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I74525822']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'Jichao Zhang', 'raw_affiliation_strings': ['School of Science, Hubei University of Technology, Wuhan, China'], 'affiliations': [{'raw_affiliation_string': 'School of Science, Hubei University of Technology, Wuhan, China', 'institution_ids': ['https://openalex.org/I74525822']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5027107978', 'display_name': 'Ce Xu', 'orcid': 'https://orcid.org/0000-0002-0059-7420'}, 'institutions': [{'id': 'https://openalex.org/I191208505', 'display_name': 'Xiamen University', 'ror': 'https://ror.org/00mcjh785', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I191208505']}], 'countries': ['CN'], 'is_corresponding': True, 'raw_author_name': 'Ce Xu', 'raw_affiliation_strings': ['School of Mathematical Sciences, Xiamen University, Xiamen, China'], 'affiliations': [{'raw_affiliation_string': 'School of Mathematical Sciences, Xiamen University, Xiamen, China', 'institution_ids': ['https://openalex.org/I191208505']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 2, 'corresponding_author_ids': ['https://openalex.org/A5027107978'], 'corresponding_institution_ids': ['https://openalex.org/I191208505'], 'apc_list': {'value': 2490, 'currency': 'EUR', 'value_usd': 3090, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 0.75, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 2, 'citation_normalized_percentile': {'value': 0.397954, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 70, 'max': 75}, 'biblio': {'volume': '59', 'issue': '2', 'first_page': '261', 'last_page': '275'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11428', 'display_name': 'Arithmetic of Multiple Zeta Values and Related Functions', 'score': 1.0, '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': 1.0, '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': 0.9999, '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/T10948', 'display_name': 'Combinatorial Mathematics and Algebraic Combinatorics', 'score': 0.9983, '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/harmonic-number', 'display_name': 'Harmonic number', 'score': 0.84046066}, {'id': 'https://openalex.org/keywords/euler-number', 'display_name': 'Euler number (physics)', 'score': 0.58088964}, {'id': 'https://openalex.org/keywords/euler-summation', 'display_name': 'Euler summation', 'score': 0.48602635}, {'id': 'https://openalex.org/keywords/arithmetic-progressions', 'display_name': 'Arithmetic Progressions', 'score': 0.471592}, {'id': 'https://openalex.org/keywords/harmonic', 'display_name': 'Harmonic', 'score': 0.45600235}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.8433387}, {'id': 'https://openalex.org/C28581250', 'wikidata': 'https://www.wikidata.org/wiki/Q13407133', 'display_name': 'Harmonic number', 'level': 3, 'score': 0.84046066}, {'id': 'https://openalex.org/C62884695', 'wikidata': 'https://www.wikidata.org/wiki/Q184871', 'display_name': "Euler's formula", 'level': 2, 'score': 0.8337972}, {'id': 'https://openalex.org/C15704222', 'wikidata': 'https://www.wikidata.org/wiki/Q4117082', 'display_name': 'Proof of the Euler product formula for the Riemann zeta function', 'level': 5, 'score': 0.5862057}, {'id': 'https://openalex.org/C196102512', 'wikidata': 'https://www.wikidata.org/wiki/Q1340031', 'display_name': 'Euler number (physics)', 'level': 5, 'score': 0.58088964}, {'id': 'https://openalex.org/C158622935', 'wikidata': 'https://www.wikidata.org/wiki/Q660848', 'display_name': 'Nonlinear system', 'level': 2, 'score': 0.55399686}, {'id': 'https://openalex.org/C169654258', 'wikidata': 'https://www.wikidata.org/wiki/Q12479', 'display_name': 'Number theory', 'level': 2, 'score': 0.52542424}, {'id': 'https://openalex.org/C48330753', 'wikidata': 'https://www.wikidata.org/wiki/Q374926', 'display_name': 'Euler summation', 'level': 5, 'score': 0.48602635}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.48514447}, {'id': 'https://openalex.org/C127934551', 'wikidata': 'https://www.wikidata.org/wiki/Q1148098', 'display_name': 'Harmonic', 'level': 2, 'score': 0.45600235}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.36163902}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.3527819}, {'id': 'https://openalex.org/C93082080', 'wikidata': 'https://www.wikidata.org/wiki/Q5475314', 'display_name': 'Semi-implicit Euler method', 'level': 4, 'score': 0.34453797}, {'id': 'https://openalex.org/C768646', 'wikidata': 'https://www.wikidata.org/wiki/Q2736820', 'display_name': 'Backward Euler method', 'level': 3, 'score': 0.31778115}, {'id': 'https://openalex.org/C38409319', 'wikidata': 'https://www.wikidata.org/wiki/Q375175', 'display_name': 'Euler equations', 'level': 2, 'score': 0.2977712}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.24122518}, {'id': 'https://openalex.org/C199479865', 'wikidata': 'https://www.wikidata.org/wiki/Q205966', 'display_name': 'Riemann hypothesis', 'level': 2, 'score': 0.17826149}, {'id': 'https://openalex.org/C35861355', 'wikidata': 'https://www.wikidata.org/wiki/Q4791135', 'display_name': 'Arithmetic zeta function', 'level': 3, 'score': 0.07928276}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C71897612', 'wikidata': 'https://www.wikidata.org/wiki/Q1896470', 'display_name': 'Prime zeta function', 'level': 4, 'score': 0.0}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s10986-019-09420-5', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S85335245', 'display_name': 'Lithuanian Mathematical Journal', 'issn_l': '0363-1672', 'issn': ['0363-1672', '1573-8825'], 'is_oa': False, 'is_in_doaj': False, 'is_core': False, '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': 31, 'referenced_works': ['https://openalex.org/W1551368459', 'https://openalex.org/W1827962746', 'https://openalex.org/W1840210468', 'https://openalex.org/W1967513586', 'https://openalex.org/W1973881279', 'https://openalex.org/W2000117364', 'https://openalex.org/W2002857430', 'https://openalex.org/W2030547894', 'https://openalex.org/W2041349517', 'https://openalex.org/W2047716159', 'https://openalex.org/W2072839457', 'https://openalex.org/W2076463309', 'https://openalex.org/W2083779556', 'https://openalex.org/W2086996181', 'https://openalex.org/W2097989894', 'https://openalex.org/W2141060935', 'https://openalex.org/W2288977768', 'https://openalex.org/W2327991174', 'https://openalex.org/W2330070957', 'https://openalex.org/W2523166934', 'https://openalex.org/W2559159054', 'https://openalex.org/W2592296482', 'https://openalex.org/W2763750080', 'https://openalex.org/W2809887463', 'https://openalex.org/W2962982978', 'https://openalex.org/W2963696179', 'https://openalex.org/W2963708676', 'https://openalex.org/W2964142885', 'https://openalex.org/W4230781866', 'https://openalex.org/W4242992201', 'https://openalex.org/W600585464'], 'related_works': ['https://openalex.org/W92860307', 'https://openalex.org/W4287258961', 'https://openalex.org/W4285168602', 'https://openalex.org/W3198527753', 'https://openalex.org/W3139224258', 'https://openalex.org/W3136785859', 'https://openalex.org/W2950126692', 'https://openalex.org/W2908819724', 'https://openalex.org/W2349703342', 'https://openalex.org/W2170342670'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2908819724', 'counts_by_year': [{'year': 2021, 'cited_by_count': 2}], 'updated_date': '2024-09-16T03:51:19.438665', 'created_date': '2019-01-25'}