{"id":"https://openalex.org/W1784032965","doi":"https://doi.org/10.1007/978-1-4419-6211-9_10","title":"Some Extensions and Applications of the Eisenstein Irreducibility Criterion","display_name":"Some Extensions and Applications of the Eisenstein Irreducibility Criterion","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1784032965","doi":"https://doi.org/10.1007/978-1-4419-6211-9_10","mag":"1784032965"},"language":"en","primary_location":{"id":"doi:10.1007/978-1-4419-6211-9_10","doi":"https://doi.org/10.1007/978-1-4419-6211-9_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4419-6211-9_10","pdf_url":null,"source":{"id":"https://openalex.org/S4210222817","display_name":"Developments in mathematics","issn_l":"1389-2177","issn":["1389-2177","2197-795X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Developments in Mathematics","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W580421053","display_name":"Quadratic Forms, Linear Algebraic Groups, and Cohomology"},"type":"book-chapter","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/A5017193347","display_name":"Anuj Bishnoi","orcid":"https://orcid.org/0000-0003-0856-8365","observed_orcids":["https://orcid.org/0000-0003-0856-8365"]},"institutions":[{"id":"https://openalex.org/I51452335","display_name":"Panjab University","ror":"https://ror.org/04p2sbk06","country_code":"IN","type":"education","lineage":["https://openalex.org/I51452335"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Anuj Bishnoi","raw_affiliation_strings":["Department of Mathematics, Panjab University, Chandigarh, 160014, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Panjab University, Chandigarh, 160014, India","institution_ids":["https://openalex.org/I51452335"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025518513","display_name":"Sudesh K. Khanduja","orcid":"https://orcid.org/0000-0003-1807-2662","observed_orcids":["https://orcid.org/0000-0003-1807-2662"]},"institutions":[{"id":"https://openalex.org/I51452335","display_name":"Panjab University","ror":"https://ror.org/04p2sbk06","country_code":"IN","type":"education","lineage":["https://openalex.org/I51452335"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Sudesh K. Khanduja","raw_affiliation_strings":["Department of Mathematics, Panjab University, Chandigarh, 160014, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Panjab University, Chandigarh, 160014, India","institution_ids":["https://openalex.org/I51452335"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5025518513"],"corresponding_institution_ids":["https://openalex.org/I51452335"],"apc_list":null,"apc_paid":null,"fwci":1.1356,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.86766034,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"189","last_page":"197"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.6797000169754028,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.6797000169754028,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.28369998931884766,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.004600000102072954,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polynomial-irreducibility","display_name":"polynomial irreducibility","score":0.8460000157356262},{"id":"https://openalex.org/keywords/difference-polynomials","display_name":"difference polynomials","score":0.7770000100135803}],"concepts":[{"id":"https://openalex.org/C2776823524","wikidata":"https://www.wikidata.org/wiki/Q6073561","display_name":"Irreducibility","level":2,"score":0.9613672494888306},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.481133371591568},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.330438494682312},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.31325584650039673}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-1-4419-6211-9_10","doi":"https://doi.org/10.1007/978-1-4419-6211-9_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4419-6211-9_10","pdf_url":null,"source":{"id":"https://openalex.org/S4210222817","display_name":"Developments in mathematics","issn_l":"1389-2177","issn":["1389-2177","2197-795X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Developments in Mathematics","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W152051309","https://openalex.org/W1521777256","https://openalex.org/W1629502106","https://openalex.org/W1965243083","https://openalex.org/W1975903181","https://openalex.org/W1987166256","https://openalex.org/W2012430993","https://openalex.org/W2013161352","https://openalex.org/W2014477902","https://openalex.org/W2059228368","https://openalex.org/W2088146997","https://openalex.org/W2093722345","https://openalex.org/W2155483389","https://openalex.org/W2795861093","https://openalex.org/W2899706932","https://openalex.org/W4241168166","https://openalex.org/W6822414792","https://openalex.org/W6837155113"],"related_works":["https://openalex.org/W2073808753","https://openalex.org/W2585119213","https://openalex.org/W3183259802","https://openalex.org/W7168176852","https://openalex.org/W1606253442","https://openalex.org/W2606683066","https://openalex.org/W2953392282","https://openalex.org/W2379010238","https://openalex.org/W1992609248","https://openalex.org/W4323356341"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2026-10-13T10:08:12.033832","created_date":"2016-06-24T00:00:00"}