{"id":"https://openalex.org/W1526245840","doi":"https://doi.org/10.1007/978-3-642-20712-9_8","title":"Faster Polynomial Multiplication via Discrete Fourier Transforms","display_name":"Faster Polynomial Multiplication via Discrete Fourier Transforms","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W1526245840","doi":"https://doi.org/10.1007/978-3-642-20712-9_8","mag":"1526245840"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-20712-9_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-20712-9_8","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"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/A5011303374","display_name":"Alexey Pospelov","orcid":null},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Alexey Pospelov","raw_affiliation_strings":["Computer Science Department, Saarland University, Germany"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Saarland University, Germany","institution_ids":["https://openalex.org/I91712215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5011303374"],"corresponding_institution_ids":["https://openalex.org/I91712215"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.4047,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.89556692,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"91","last_page":"104"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9990000128746033,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6894904375076294},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.590817928314209},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.545329213142395},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.5156280398368835},{"id":"https://openalex.org/keywords/discrete-fourier-transform","display_name":"Discrete Fourier transform (general)","score":0.5024125576019287},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.42612919211387634},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.39848029613494873},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37114644050598145},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3299925923347473},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.2799922823905945},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2487904131412506},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10375931859016418},{"id":"https://openalex.org/keywords/short-time-fourier-transform","display_name":"Short-time Fourier transform","score":0.10216975212097168},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1015768051147461},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08993571996688843}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6894904375076294},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.590817928314209},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.545329213142395},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.5156280398368835},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.5024125576019287},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.42612919211387634},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.39848029613494873},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37114644050598145},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3299925923347473},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.2799922823905945},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2487904131412506},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10375931859016418},{"id":"https://openalex.org/C166386157","wikidata":"https://www.wikidata.org/wiki/Q1477735","display_name":"Short-time Fourier transform","level":4,"score":0.10216975212097168},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1015768051147461},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08993571996688843}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-20712-9_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-20712-9_8","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W33721796","https://openalex.org/W201320490","https://openalex.org/W1500032036","https://openalex.org/W1507575253","https://openalex.org/W1561337879","https://openalex.org/W1562183207","https://openalex.org/W1907666253","https://openalex.org/W1966904279","https://openalex.org/W1979175600","https://openalex.org/W2012990935","https://openalex.org/W2028444458","https://openalex.org/W2061171222","https://openalex.org/W2065832012","https://openalex.org/W2083368929","https://openalex.org/W2084801848","https://openalex.org/W2104494563","https://openalex.org/W2113672208","https://openalex.org/W2163717605","https://openalex.org/W2170835539","https://openalex.org/W6637552465"],"related_works":["https://openalex.org/W2154006536","https://openalex.org/W2348800014","https://openalex.org/W2365391860","https://openalex.org/W1820187807","https://openalex.org/W2155491755","https://openalex.org/W4362564158","https://openalex.org/W2085939569","https://openalex.org/W2516295475","https://openalex.org/W2766639751","https://openalex.org/W2390401148"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
