{"id":"https://openalex.org/W4387370525","doi":"https://doi.org/10.1007/s41478-023-00666-4","title":"On the generalization of Mersenne and Gaussian Mersenne polynomials","display_name":"On the generalization of Mersenne and Gaussian Mersenne polynomials","publication_year":2023,"publication_date":"2023-10-05","ids":{"openalex":"https://openalex.org/W4387370525","doi":"https://doi.org/10.1007/s41478-023-00666-4"},"language":"en","primary_location":{"id":"doi:10.1007/s41478-023-00666-4","doi":"https://doi.org/10.1007/s41478-023-00666-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s41478-023-00666-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210236488","display_name":"The Journal of Analysis","issn_l":"0971-3611","issn":["0971-3611","2367-2501"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-d","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Analysis","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078261819","display_name":"Munesh Kumari","orcid":"https://orcid.org/0000-0002-6541-0284","observed_orcids":["https://orcid.org/0000-0002-6541-0284"]},"institutions":[{"id":"https://openalex.org/I175970653","display_name":"Central University of Jharkhand","ror":"https://ror.org/04y763m95","country_code":"IN","type":"education","lineage":["https://openalex.org/I175970653"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Munesh Kumari","raw_affiliation_strings":["Department of Mathematics, Central University of Jharkhand, Ranchi, 835222, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Central University of Jharkhand, Ranchi, 835222, India","institution_ids":["https://openalex.org/I175970653"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084548122","display_name":"Kalika Prasad","orcid":"https://orcid.org/0000-0002-3653-5854","observed_orcids":["https://orcid.org/0000-0002-3653-5854"]},"institutions":[{"id":"https://openalex.org/I175970653","display_name":"Central University of Jharkhand","ror":"https://ror.org/04y763m95","country_code":"IN","type":"education","lineage":["https://openalex.org/I175970653"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Kalika Prasad","raw_affiliation_strings":["Department of Mathematics, Central University of Jharkhand, Ranchi, 835222, India"],"raw_orcid":"https://orcid.org/0000-0002-3653-5854","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Central University of Jharkhand, Ranchi, 835222, India","institution_ids":["https://openalex.org/I175970653"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080552127","display_name":"Jagmohan Tanti","orcid":"https://orcid.org/0000-0002-0078-7494","observed_orcids":["https://orcid.org/0000-0002-0078-7494"]},"institutions":[{"id":"https://openalex.org/I143247161","display_name":"Babasaheb Bhimrao Ambedkar University","ror":"https://ror.org/04x7ccp17","country_code":"IN","type":"education","lineage":["https://openalex.org/I143247161"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Jagmohan Tanti","raw_affiliation_strings":["Department of Mathematics, Babasaheb Bhimrao Ambedkar University, Lucknow, 226025, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Babasaheb Bhimrao Ambedkar University, Lucknow, 226025, India","institution_ids":["https://openalex.org/I143247161"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5084548122"],"corresponding_institution_ids":["https://openalex.org/I175970653"],"apc_list":{"value":3590,"currency":"USD","value_usd":3590},"apc_paid":null,"fwci":1.597,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.8174092,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"32","issue":"2","first_page":"931","last_page":"947"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.6416000127792358,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.6416000127792358,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.27950000762939453,"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/T11428","display_name":"Advanced Mathematical Identities","score":0.024700000882148743,"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/generalized-polynomials","display_name":"generalized polynomials","score":0.5669999718666077},{"id":"https://openalex.org/keywords/binet-s-formula","display_name":"Binet formula","score":0.8809999823570251},{"id":"https://openalex.org/keywords/generating-functions","display_name":"generating functions","score":0.8659999966621399},{"id":"https://openalex.org/keywords/explicit-formula","display_name":"explicit formula","score":0.8510000109672546},{"id":"https://openalex.org/keywords/algebraic-properties","display_name":"algebraic properties","score":0.6970000267028809}],"concepts":[{"id":"https://openalex.org/C29641680","wikidata":"https://www.wikidata.org/wiki/Q186875","display_name":"Mersenne prime","level":2,"score":0.9907897710800171},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7187808156013489},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.687872052192688},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5322301983833313},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3955201506614685},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.28548479080200195},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1625688672065735},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05816259980201721},{"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":[{"id":"doi:10.1007/s41478-023-00666-4","doi":"https://doi.org/10.1007/s41478-023-00666-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s41478-023-00666-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210236488","display_name":"The Journal of Analysis","issn_l":"0971-3611","issn":["0971-3611","2367-2501"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-d","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W88721985","https://openalex.org/W2030221505","https://openalex.org/W2602601437","https://openalex.org/W2770125778","https://openalex.org/W2883070794","https://openalex.org/W2908849326","https://openalex.org/W2976558006","https://openalex.org/W3036967620","https://openalex.org/W3041014444","https://openalex.org/W3088667701","https://openalex.org/W3143986873","https://openalex.org/W3149010408","https://openalex.org/W3152443824","https://openalex.org/W3213466060","https://openalex.org/W4205536319","https://openalex.org/W4402831577","https://openalex.org/W4403297514"],"related_works":["https://openalex.org/W3213466060","https://openalex.org/W4406400566","https://openalex.org/W4323650875","https://openalex.org/W4412912523","https://openalex.org/W3213524602","https://openalex.org/W7117141053","https://openalex.org/W4403632719","https://openalex.org/W4410506312","https://openalex.org/W6967422450","https://openalex.org/W7172020192"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":3}],"updated_date":"2026-09-02T07:38:04.252551","created_date":"2023-10-06T00:00:00"}