{"id":"https://openalex.org/W7204725807","doi":"https://doi.org/10.5281/zenodo.22170602","title":"Mod\u00e8le Combinatoire Prime\u2011Pair : Structure Additive Interne et Fusion avec le Cadre Spectral Ad\u00e9lique","display_name":"Mod\u00e8le Combinatoire Prime\u2011Pair : Structure Additive Interne et Fusion avec le Cadre Spectral Ad\u00e9lique","publication_year":2026,"publication_date":"2026-08-30","ids":{"openalex":"https://openalex.org/W7204725807","doi":"https://doi.org/10.5281/zenodo.22170602"},"language":"fr","primary_location":{"id":"doi:10.5281/zenodo.22170602","doi":"https://doi.org/10.5281/zenodo.22170602","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22170602","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.22170602","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5143867458","display_name":"C\u00e9dric Lallemand","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Lallemand, C\u00e9dric","raw_affiliation_strings":["Chercheur independant"],"raw_orcid":"https://orcid.org/0009-0007-2162-9843","affiliations":[{"raw_affiliation_string":"Chercheur independant","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5143867458"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"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":0.7387999892234802,"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":0.7387999892234802,"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/T13234","display_name":"p-Adic Analysis and Mathematical Physics","score":0.23970000445842743,"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/T14500","display_name":"Smarandache Functions and Recreational Number Theory","score":0.006000000052154064,"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/goldbach-conjecture","display_name":"Goldbach conjecture","score":0.9380000233650208},{"id":"https://openalex.org/keywords/additive-combinatorics","display_name":"additive combinatorics","score":0.6399999856948853},{"id":"https://openalex.org/keywords/spectral-operators","display_name":"spectral operators","score":0.5059999823570251},{"id":"https://openalex.org/keywords/connected-components","display_name":"connected components","score":0.5519999861717224},{"id":"https://openalex.org/keywords/hybrid-operators","display_name":"hybrid operators","score":0.7200000286102295},{"id":"https://openalex.org/keywords/number-theory","display_name":"number theory","score":0.39800000190734863}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.734000027179718},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.43479999899864197},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.225600004196167},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.2029999941587448},{"id":"https://openalex.org/C113429393","wikidata":"https://www.wikidata.org/wiki/Q49008","display_name":"Prime number","level":2,"score":0.20090000331401825},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.19429999589920044},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.19349999725818634},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.17970000207424164},{"id":"https://openalex.org/C2983668108","wikidata":"https://www.wikidata.org/wiki/Q280453","display_name":"Spectral analysis","level":3,"score":0.1624000072479248},{"id":"https://openalex.org/C173734053","wikidata":"https://www.wikidata.org/wiki/Q47577","display_name":"Fibonacci number","level":2,"score":0.1589999943971634}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.22170602","doi":"https://doi.org/10.5281/zenodo.22170602","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22170602","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},{"id":"doi:10.5281/zenodo.22170603","doi":"https://doi.org/10.5281/zenodo.22170603","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22170603","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.5281/zenodo.22170602","doi":"https://doi.org/10.5281/zenodo.22170602","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22170602","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7204734646","https://openalex.org/W7155678678","https://openalex.org/W7131746859","https://openalex.org/W6893458053","https://openalex.org/W7168407919","https://openalex.org/W6949171751","https://openalex.org/W6931021914","https://openalex.org/W6912050350","https://openalex.org/W6967862765","https://openalex.org/W2315350036"],"abstract_inverted_index":{"Ce":[0,19,99],"document":[1],"introduit":[2],"un":[3,9,24,78,115],"mod\u00e8le":[4,69],"combinatoire":[5,37,47,70],"prime\u2011pair":[6],"fond\u00e9":[7],"sur":[8,30],"graphe":[10,20,64],"arithm\u00e9tique":[11],"des":[12,90,95],"paires":[13],"de":[14,22,32,38,87,109,112],"nombres":[15],"premiers":[16],"satisfaisant":[17],"\\(p+q=N\\).":[18],"permet":[21],"d\u00e9finir":[23],"op\u00e9rateur":[25,79],"additif":[26],"discret":[27,34],"\\(AN\\)":[28],"agissant":[29],"l\u2019espace":[31],"Hilbert":[33],"\\(\\ell^2(P)\\),":[35],"analogue":[36],"l\u2019op\u00e9rateur":[39],"spectral":[40,74],"\\(KN\\)":[41],"du":[42,63,68],"cadre":[43,73,116],"ad\u00e9lique.":[44],"L\u2019\u00e9quation":[45],"interne":[46,56,108],"\\(A_N":[48],"f":[49],"=":[50,82],"f\\)":[51],"impose":[52],"une":[53,102],"structure":[54],"additive":[55],"enti\u00e8rement":[57],"d\u00e9termin\u00e9e":[58],"par":[59],"les":[60],"composantes":[61],"connexes":[62],"prime\u2011pair.":[65],"La":[66],"fusion":[67],"avec":[71],"le":[72],"ad\u00e9lique":[75],"conduit":[76],"\u00e0":[77],"hybride":[80],"\\(MN":[81],"KN":[83],"+":[84],"A_N\\),":[85],"capable":[86],"traiter":[88],"simultan\u00e9ment":[89],"contraintes":[91,96],"analytiques":[92],"continues":[93],"et":[94],"additives":[97],"discr\u00e8tes.":[98],"chapitre":[100],"constitue":[101],"brique":[103],"structurelle":[104],"ind\u00e9pendante,":[105],"pr\u00e9parant":[106],"l\u2019\u00e9tude":[107],"la":[110],"conjecture":[111],"Goldbach":[113],"dans":[114],"spectral\u2011combinatoire":[117],"unifi\u00e9.":[118]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2026-08-31T00:00:00"}
