{"id":"https://openalex.org/W2132474171","doi":"https://doi.org/10.1007/s10998-012-3747-1","title":"Multiplicative character sums of Fermat quotients and pseudorandom sequences","display_name":"Multiplicative character sums of Fermat quotients and pseudorandom sequences","publication_year":2012,"publication_date":"2012-05-23","ids":{"openalex":"https://openalex.org/W2132474171","doi":"https://doi.org/10.1007/s10998-012-3747-1","mag":"2132474171"},"language":"en","primary_location":{"id":"doi:10.1007/s10998-012-3747-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-012-3747-1","pdf_url":null,"source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Periodica Mathematica Hungarica","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/A5063691894","display_name":"Domingo G\u00f3mez\u2010P\u00e9rez","orcid":"https://orcid.org/0000-0002-5780-2165"},"institutions":[{"id":"https://openalex.org/I13134134","display_name":"Universidad de Cantabria","ror":"https://ror.org/046ffzj20","country_code":"ES","type":"education","lineage":["https://openalex.org/I13134134"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Domingo Gomez","raw_affiliation_strings":["University of Cantabria, Avd. de los Castros s/n, Santander, Spain","University Of Cantabria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Cantabria, Avd. de los Castros s/n, Santander, Spain","institution_ids":["https://openalex.org/I13134134"]},{"raw_affiliation_string":"University Of Cantabria","institution_ids":["https://openalex.org/I13134134"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056642780","display_name":"Arne Winterhof","orcid":"https://orcid.org/0000-0002-3863-1110"},"institutions":[{"id":"https://openalex.org/I138211613","display_name":"Austrian Academy of Sciences","ror":"https://ror.org/03anc3s24","country_code":"AT","type":"government","lineage":["https://openalex.org/I138211613"]},{"id":"https://openalex.org/I4210158379","display_name":"Johann Radon Institute for Computational and Applied Mathematics","ror":"https://ror.org/05a94k872","country_code":"AT","type":"facility","lineage":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Arne Winterhof","raw_affiliation_strings":["Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Altenberger Stra\u00dfe 69, A-4040, Linz, Austria","Austrian Academy of Sciences"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Altenberger Stra\u00dfe 69, A-4040, Linz, Austria","institution_ids":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]},{"raw_affiliation_string":"Austrian Academy of Sciences","institution_ids":["https://openalex.org/I138211613"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5063691894"],"corresponding_institution_ids":["https://openalex.org/I13134134"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":10.9985,"has_fulltext":false,"cited_by_count":53,"citation_normalized_percentile":{"value":0.98216107,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"64","issue":"2","first_page":"161","last_page":"168"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11130","display_name":"Coding theory and cryptography","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.9980999827384949,"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/mathematics","display_name":"Mathematics","score":0.9164350628852844},{"id":"https://openalex.org/keywords/pseudorandomness","display_name":"Pseudorandomness","score":0.8624477386474609},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.779769778251648},{"id":"https://openalex.org/keywords/fermats-last-theorem","display_name":"Fermat's Last Theorem","score":0.7102167010307312},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.595460832118988},{"id":"https://openalex.org/keywords/fermat-number","display_name":"Fermat number","score":0.5800029039382935},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5578739643096924},{"id":"https://openalex.org/keywords/pseudorandom-number-generator","display_name":"Pseudorandom number generator","score":0.5545501112937927},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.5273010730743408},{"id":"https://openalex.org/keywords/wieferich-prime","display_name":"Wieferich prime","score":0.5089273452758789},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4654797911643982},{"id":"https://openalex.org/keywords/character","display_name":"Character (mathematics)","score":0.44544070959091187},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4341079592704773},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.43033111095428467},{"id":"https://openalex.org/keywords/fermats-little-theorem","display_name":"Fermat's little theorem","score":0.41144615411758423},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4110437035560608},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12609654664993286},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06979075074195862}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9164350628852844},{"id":"https://openalex.org/C19086982","wikidata":"https://www.wikidata.org/wiki/Q2115856","display_name":"Pseudorandomness","level":3,"score":0.8624477386474609},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.779769778251648},{"id":"https://openalex.org/C87670640","wikidata":"https://www.wikidata.org/wiki/Q132469","display_name":"Fermat's Last Theorem","level":2,"score":0.7102167010307312},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.595460832118988},{"id":"https://openalex.org/C171223647","wikidata":"https://www.wikidata.org/wiki/Q207264","display_name":"Fermat number","level":3,"score":0.5800029039382935},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5578739643096924},{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.5545501112937927},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.5273010730743408},{"id":"https://openalex.org/C204254670","wikidata":"https://www.wikidata.org/wiki/Q966601","display_name":"Wieferich prime","level":5,"score":0.5089273452758789},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4654797911643982},{"id":"https://openalex.org/C2780861071","wikidata":"https://www.wikidata.org/wiki/Q1062934","display_name":"Character (mathematics)","level":2,"score":0.44544070959091187},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4341079592704773},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.43033111095428467},{"id":"https://openalex.org/C54014305","wikidata":"https://www.wikidata.org/wiki/Q188295","display_name":"Fermat's little theorem","level":5,"score":0.41144615411758423},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4110437035560608},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12609654664993286},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06979075074195862},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C48540410","wikidata":"https://www.wikidata.org/wiki/Q5221089","display_name":"Danskin's theorem","level":4,"score":0.0},{"id":"https://openalex.org/C146147875","wikidata":"https://www.wikidata.org/wiki/Q1144897","display_name":"Brouwer fixed-point theorem","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10998-012-3747-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-012-3747-1","pdf_url":null,"source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Periodica Mathematica Hungarica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.44999998807907104,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W145145483","https://openalex.org/W254478455","https://openalex.org/W574604760","https://openalex.org/W586135738","https://openalex.org/W1507994869","https://openalex.org/W1515061872","https://openalex.org/W1551926475","https://openalex.org/W1567281213","https://openalex.org/W2003906679","https://openalex.org/W2027304562","https://openalex.org/W2028441107","https://openalex.org/W2030658611","https://openalex.org/W2040024264","https://openalex.org/W2050569702","https://openalex.org/W2055616008","https://openalex.org/W2089489391","https://openalex.org/W2485820268","https://openalex.org/W2557762051","https://openalex.org/W4241271931","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4287115643","https://openalex.org/W2405398734","https://openalex.org/W2313388312","https://openalex.org/W2059640033","https://openalex.org/W2952739523","https://openalex.org/W2054853546","https://openalex.org/W2510300165","https://openalex.org/W3209967888","https://openalex.org/W2792684808","https://openalex.org/W2885845153"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":6}],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2025-10-10T00:00:00"}