{"id":"https://openalex.org/W2472512595","doi":"https://doi.org/10.1080/10586458.2015.1116117","title":"An Accurate Heuristic for a Problem of Shparlinski","display_name":"An Accurate Heuristic for a Problem of Shparlinski","publication_year":2016,"publication_date":"2016-07-07","ids":{"openalex":"https://openalex.org/W2472512595","doi":"https://doi.org/10.1080/10586458.2015.1116117","mag":"2472512595"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2015.1116117","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2015.1116117","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","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/A5078948978","display_name":"Florian Pausinger","orcid":"https://orcid.org/0000-0002-8379-3768"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Florian Pausinger","raw_affiliation_strings":["Zentrum Mathematik (M10), TU Munich, Garching, Germany"],"affiliations":[{"raw_affiliation_string":"Zentrum Mathematik (M10), TU Munich, Garching, Germany","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5078948978"],"corresponding_institution_ids":["https://openalex.org/I62916508"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12406203,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"26","issue":"1","first_page":"72","last_page":"76"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T12504","display_name":"Mathematics and Applications","score":0.9926999807357788,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8815964460372925},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.8068422079086304},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5357427000999451},{"id":"https://openalex.org/keywords/argument","display_name":"Argument (complex analysis)","score":0.5343308448791504},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44526994228363037},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35066479444503784},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19045978784561157},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.1283080279827118}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8815964460372925},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.8068422079086304},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5357427000999451},{"id":"https://openalex.org/C98184364","wikidata":"https://www.wikidata.org/wiki/Q1780131","display_name":"Argument (complex analysis)","level":2,"score":0.5343308448791504},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44526994228363037},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35066479444503784},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19045978784561157},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.1283080279827118},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/10586458.2015.1116117","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2015.1116117","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:pure.qub.ac.uk/portal:publications/5189aae4-6b87-44aa-9b5d-582aa5f03472","is_oa":false,"landing_page_url":"http://www.scopus.com/inward/record.url?scp=84978971376&partnerID=8YFLogxK","pdf_url":null,"source":{"id":"https://openalex.org/S4306402319","display_name":"Research Portal (Queen's University Belfast)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I126231945","host_organization_name":"Queen's University Belfast","host_organization_lineage":["https://openalex.org/I126231945"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Pausinger , F 2017 , ' An Accurate Heuristic for a Problem of Shparlinski ' , Experimental Mathematics , vol. 26 , no. 1 , pp. 72-76 . https://doi.org/10.1080/10586458.2015.1116117","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1964588522","https://openalex.org/W1972106664","https://openalex.org/W2013065865","https://openalex.org/W2089675981","https://openalex.org/W2146421406","https://openalex.org/W2505367250","https://openalex.org/W2599510514","https://openalex.org/W2942585558","https://openalex.org/W3021198140","https://openalex.org/W4211076355","https://openalex.org/W4292806204"],"related_works":["https://openalex.org/W3008380943","https://openalex.org/W2115206405","https://openalex.org/W4387718383","https://openalex.org/W1528986568","https://openalex.org/W2500746363","https://openalex.org/W2804199312","https://openalex.org/W2347954438","https://openalex.org/W2071460425","https://openalex.org/W2060538888","https://openalex.org/W2170067308"],"abstract_inverted_index":{"In":[0],"this":[1],"note,":[2],"we":[3,59],"apply":[4],"classical":[5],"results":[6],"from":[7],"number":[8,65],"theory":[9],"to":[10,17],"give":[11],"an":[12],"affirmative,":[13],"but":[14],"heuristic,":[15],"answer":[16],"the":[18,34,64],"question":[19],"of":[20,33,66],"Shparlinski":[21],"(Japanese":[22],"J.":[23],"Math.,":[24],"2012)":[25],"whether":[26],"there":[27],"exist":[28],"infinitely":[29],"many":[30],"primes":[31],"p":[32,36],"form":[35],"=":[37],"k2":[38],"+":[39,41],"lk":[40],"1,":[42],"with":[43],"integers":[44],"k,":[45],"l,":[46],"such":[47,67],"that":[48],"k":[49],">":[50],"0":[51],"and":[52],".":[53],"Based":[54],"on":[55],"a":[56,61],"heuristic":[57],"argument,":[58],"provide":[60],"formula":[62],"for":[63],"primes,":[68],"which":[69],"is":[70],"surprisingly":[71],"accurate":[72],"as":[73],"computations":[74],"show.":[75]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}