{"id":"https://openalex.org/W2084467380","doi":"https://doi.org/10.1016/0304-3975(89)90043-1","title":"On Weyl sums and skew products over irrational rotations","display_name":"On Weyl sums and skew products over irrational rotations","publication_year":1989,"publication_date":"1989-06-01","ids":{"openalex":"https://openalex.org/W2084467380","doi":"https://doi.org/10.1016/0304-3975(89)90043-1","mag":"2084467380"},"language":"en","primary_location":{"id":"doi:10.1016/0304-3975(89)90043-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0304-3975(89)90043-1","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Computer Science","raw_type":"journal-article"},"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/A5009908925","display_name":"Peter Hellekalek","orcid":null},"institutions":[{"id":"https://openalex.org/I182212641","display_name":"University of Salzburg","ror":"https://ror.org/05gs8cd61","country_code":"AT","type":"education","lineage":["https://openalex.org/I182212641"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"P. Hellekalek","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Universit\u00e4t Salzburg, Hellbrunnerstra\u00dfe 34, A-5020 Salzburg, Austria","Univ. Salzburg, Salzburg, Austria#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Universit\u00e4t Salzburg, Hellbrunnerstra\u00dfe 34, A-5020 Salzburg, Austria","institution_ids":["https://openalex.org/I182212641"]},{"raw_affiliation_string":"Univ. Salzburg, Salzburg, Austria#TAB#","institution_ids":["https://openalex.org/I182212641"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036266706","display_name":"Gerhard Larcher","orcid":"https://orcid.org/0000-0001-8191-5824"},"institutions":[{"id":"https://openalex.org/I182212641","display_name":"University of Salzburg","ror":"https://ror.org/05gs8cd61","country_code":"AT","type":"education","lineage":["https://openalex.org/I182212641"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"G. Larcher","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Universit\u00e4t Salzburg, Hellbrunnerstra\u00dfe 34, A-5020 Salzburg, Austria","Univ. Salzburg, Salzburg, Austria#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Universit\u00e4t Salzburg, Hellbrunnerstra\u00dfe 34, A-5020 Salzburg, Austria","institution_ids":["https://openalex.org/I182212641"]},{"raw_affiliation_string":"Univ. Salzburg, Salzburg, Austria#TAB#","institution_ids":["https://openalex.org/I182212641"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":null,"fwci":2.9078,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.90967108,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"65","issue":"2","first_page":"189","last_page":"196"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13234","display_name":"advanced mathematical theories","score":0.9965999722480774,"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"}},"topics":[{"id":"https://openalex.org/T13234","display_name":"advanced mathematical theories","score":0.9965999722480774,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9919000267982483,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9837999939918518,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7930413484573364},{"id":"https://openalex.org/keywords/skew","display_name":"Skew","score":0.7466343641281128},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.6090096831321716},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5983518362045288},{"id":"https://openalex.org/keywords/irrational-number","display_name":"Irrational number","score":0.5934661626815796},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5729316473007202},{"id":"https://openalex.org/keywords/ergodicity","display_name":"Ergodicity","score":0.5458366274833679},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.5148910284042358},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5050151944160461},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.45971348881721497},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3539010286331177},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3523295521736145},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26216959953308105},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15461045503616333},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1359385848045349}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7930413484573364},{"id":"https://openalex.org/C43711488","wikidata":"https://www.wikidata.org/wiki/Q7534783","display_name":"Skew","level":2,"score":0.7466343641281128},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6090096831321716},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5983518362045288},{"id":"https://openalex.org/C94931360","wikidata":"https://www.wikidata.org/wiki/Q607728","display_name":"Irrational number","level":2,"score":0.5934661626815796},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5729316473007202},{"id":"https://openalex.org/C201779956","wikidata":"https://www.wikidata.org/wiki/Q5426803","display_name":"Ergodicity","level":2,"score":0.5458366274833679},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.5148910284042358},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5050151944160461},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.45971348881721497},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3539010286331177},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3523295521736145},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26216959953308105},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15461045503616333},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1359385848045349},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0304-3975(89)90043-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0304-3975(89)90043-1","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1002281997","https://openalex.org/W1607458528","https://openalex.org/W2023124971","https://openalex.org/W2031041845","https://openalex.org/W2057779450","https://openalex.org/W2063699339","https://openalex.org/W2080566398","https://openalex.org/W2083309269","https://openalex.org/W2464957445","https://openalex.org/W2588829723","https://openalex.org/W6719525629","https://openalex.org/W6733676221"],"related_works":["https://openalex.org/W2032686834","https://openalex.org/W2884620040","https://openalex.org/W972173259","https://openalex.org/W1980756862","https://openalex.org/W149556468","https://openalex.org/W2951461961","https://openalex.org/W2328888882","https://openalex.org/W2131340478","https://openalex.org/W2057779450","https://openalex.org/W2122337041"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
