{"id":"https://openalex.org/W7223872887","doi":"https://doi.org/10.5281/zenodo.23676940","title":"An inverse theorem for higher-degree Davenport constants over prime-power rings","display_name":"An inverse theorem for higher-degree Davenport constants over prime-power rings","publication_year":2026,"publication_date":"2026-10-27","ids":{"openalex":"https://openalex.org/W7223872887","doi":"https://doi.org/10.5281/zenodo.23676940"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23676940","doi":"https://doi.org/10.5281/zenodo.23676940","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23676940","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":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.23676940","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5151851398","display_name":"Robert Barritz","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Barritz, Robert","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5151851398"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"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":0.76419997215271,"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":0.76419997215271,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.0803999975323677,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.05510000139474869,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/davenport-constant","display_name":"Davenport constant","score":0.8100000023841858},{"id":"https://openalex.org/keywords/inverse-problems","display_name":"inverse problems","score":0.5649999976158142},{"id":"https://openalex.org/keywords/extremal-sequences","display_name":"extremal sequences","score":0.5220000147819519},{"id":"https://openalex.org/keywords/additive-number-theory","display_name":"additive number theory","score":0.5320000052452087}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8543000221252441},{"id":"https://openalex.org/C137877099","wikidata":"https://www.wikidata.org/wiki/Q1332977","display_name":"Subsequence","level":3,"score":0.6740000247955322},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.6256999969482422},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5849999785423279},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5486999750137329},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.47369998693466187},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.4244000017642975},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3903999924659729},{"id":"https://openalex.org/C2777151079","wikidata":"https://www.wikidata.org/wiki/Q141160","display_name":"Parity (physics)","level":2,"score":0.37869998812675476},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.30809998512268066},{"id":"https://openalex.org/C113429393","wikidata":"https://www.wikidata.org/wiki/Q49008","display_name":"Prime number","level":2,"score":0.26510000228881836}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23676940","doi":"https://doi.org/10.5281/zenodo.23676940","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23676940","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":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.23676941","doi":"https://doi.org/10.5281/zenodo.23676941","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23676941","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":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.23676940","doi":"https://doi.org/10.5281/zenodo.23676940","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23676940","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":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3128764743","https://openalex.org/W1838856843","https://openalex.org/W7163693406","https://openalex.org/W797611406","https://openalex.org/W1882700879","https://openalex.org/W7131129954","https://openalex.org/W4286231286","https://openalex.org/W2963155099","https://openalex.org/W4372301444","https://openalex.org/W2951660951"],"abstract_inverted_index":{"Let":[0],"q":[1],"=":[2,6,19],"p^r":[3],"and":[4,12,16,51,69],"m":[5,50],"p^s,":[7],"where":[8],"p":[9],"is":[10,41,92],"prime":[11],"r,s":[13],">=":[14],"1,":[15],"put":[17],"D":[18],"m(q-1).":[20],"We":[21],"give":[22],"a":[23,27,57,93],"candidate":[24,107],"proof":[25],"that":[26,96],"sequence":[28],"over":[29],"Z/qZ":[30],"of":[31,47],"length":[32,74],"at":[33,56,71,85],"least":[34],"D+1,":[35],"whose":[36],"mth":[37],"elementary":[38],"symmetric":[39],"sum":[40],"nonzero":[42],"on":[43],"every":[44],"selected":[45],"subsequence":[46],"size":[48],"between":[49],"D,":[52],"must":[53],"be":[54],"constant":[55],"unit.":[58],"This":[59],"implies":[60],"the":[61,72],"inverse":[62],"classification":[63],"asked":[64],"for":[65],"by":[66],"Caro,":[67],"Girard":[68],"Schmitt":[70],"extremal":[73],"mq-1.":[75],"The":[76,89,103],"initial":[77],"modulo-p":[78],"step":[79],"refines":[80],"their":[81],"Baker-Schmidt":[82],"parity":[83],"method":[84],"its":[86],"degree":[87],"boundary.":[88],"proposed":[90],"contribution":[91],"coefficient":[94],"comparison":[95],"lifts":[97],"agreement":[98],"through":[99],"successive":[100],"p-adic":[101],"digits.":[102],"principal":[104],"results":[105],"retain":[106],"status.":[108]},"counts_by_year":[],"updated_date":"2026-10-29T09:56:32.521200","created_date":"2026-10-28T00:00:00"}
