{"id":"https://openalex.org/W4410019804","doi":"https://doi.org/10.2139/ssrn.5196327","title":"A Deterministic Matrix Operator Incorporating Prime Number Data: Construction and Spectral Statistics","display_name":"A Deterministic Matrix Operator Incorporating Prime Number Data: Construction and Spectral Statistics","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4410019804","doi":"https://doi.org/10.2139/ssrn.5196327"},"language":"en","primary_location":{"id":"doi:10.2139/ssrn.5196327","doi":"https://doi.org/10.2139/ssrn.5196327","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.5196327","pdf_url":null,"source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.2139/ssrn.5196327","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5116394701","display_name":"Miltiadis Karazoupis","orcid":"https://orcid.org/0009-0009-1778-6728","observed_orcids":["https://orcid.org/0009-0009-1778-6728"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Miltiadis Karazoupis","raw_affiliation_strings":["Independent Researcher"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Independent Researcher","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5116394701"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.7378000020980835,"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":0.7378000020980835,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.20919999480247498,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.018400000408291817,"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/hilbert-polya-conjecture","display_name":"Hilbert-P\u00f3lya conjecture","score":0.9980000257492065},{"id":"https://openalex.org/keywords/zeros-of-the-riemann-zeta-function","display_name":"Riemann zeta function zeros","score":0.9430000185966492},{"id":"https://openalex.org/keywords/gaussian-unitary-ensemble","display_name":"Gaussian unitary ensemble","score":0.7919999957084656},{"id":"https://openalex.org/keywords/random-matrix-theory","display_name":"random matrix theory","score":0.8209999799728394},{"id":"https://openalex.org/keywords/prime-numbers","display_name":"prime numbers","score":0.7710000276565552},{"id":"https://openalex.org/keywords/particle-hole-symmetry","display_name":"particle-hole symmetry","score":0.7329999804496765},{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrices","score":0.7789999842643738},{"id":"https://openalex.org/keywords/nearest-neighbor-spacing-distribution","display_name":"nearest-neighbor spacing distribution","score":0.906000018119812},{"id":"https://openalex.org/keywords/level-repulsion","display_name":"level repulsion","score":0.9309999942779541},{"id":"https://openalex.org/keywords/wigner-function","display_name":"Wigner function","score":0.6769999861717224},{"id":"https://openalex.org/keywords/spectral-statistics","display_name":"spectral statistics","score":0.6819999814033508},{"id":"https://openalex.org/keywords/quantum-chaos","display_name":"quantum chaos","score":0.6359999775886536},{"id":"https://openalex.org/keywords/universality-class","display_name":"universality class","score":0.47200000286102295}],"concepts":[{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5867800116539001},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5711065530776978},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5450260639190674},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.49782252311706543},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4832395017147064},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33934086561203003},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2077140212059021},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2139/ssrn.5196327","doi":"https://doi.org/10.2139/ssrn.5196327","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.5196327","pdf_url":null,"source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"}],"best_oa_location":{"id":"doi:10.2139/ssrn.5196327","doi":"https://doi.org/10.2139/ssrn.5196327","is_oa":true,"landing_page_url":"https://doi.org/10.2139/ssrn.5196327","pdf_url":null,"source":{"id":"https://openalex.org/S4210172589","display_name":"SSRN Electronic Journal","issn_l":"1556-5068","issn":["1556-5068"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1318003438","host_organization_name":"RELX Group (Netherlands)","host_organization_lineage":["https://openalex.org/I1318003438"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1538733621","https://openalex.org/W1991057622","https://openalex.org/W2040790258","https://openalex.org/W2093315095","https://openalex.org/W2145667305","https://openalex.org/W2147436369","https://openalex.org/W4241324437","https://openalex.org/W4250468450"],"related_works":["https://openalex.org/W7161852918","https://openalex.org/W7160997515","https://openalex.org/W7155685748","https://openalex.org/W7147340791","https://openalex.org/W7106241395","https://openalex.org/W7163757926","https://openalex.org/W7114926889","https://openalex.org/W7163369965","https://openalex.org/W7109664721","https://openalex.org/W7132828481"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-11-09T13:22:03.289127","created_date":"2025-05-02T00:00:00"}
