{"id":"https://openalex.org/W7225400341","doi":"https://doi.org/10.5281/zenodo.24023678","title":"Paper 134EE: Quantitative Positivity, Spatial Spectral Limits, and Optimal Arithmetic Completion","display_name":"Paper 134EE: Quantitative Positivity, Spatial Spectral Limits, and Optimal Arithmetic Completion","publication_year":2026,"publication_date":"2026-11-06","ids":{"openalex":"https://openalex.org/W7225400341","doi":"https://doi.org/10.5281/zenodo.24023678"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24023678","doi":"https://doi.org/10.5281/zenodo.24023678","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24023678","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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.24023678","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5134672110","display_name":"Michael Sarnowski","orcid":"https://orcid.org/0009-0005-4210-6027","observed_orcids":["https://orcid.org/0009-0005-4210-6027"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Publication, Michael","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0005-4210-6027","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5134672110"],"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":0.9990000128746033,"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":0.9990000128746033,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.00019999999494757503,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/positivity-bounds","display_name":"positivity bounds","score":0.4970000088214874},{"id":"https://openalex.org/keywords/resolvent-estimates","display_name":"resolvent estimates","score":0.9399999976158142},{"id":"https://openalex.org/keywords/riemann-hypothesis","display_name":"Riemann hypothesis","score":0.6949999928474426},{"id":"https://openalex.org/keywords/countermodels","display_name":"countermodels","score":0.32499998807907104}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8209999799728394},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.7010999917984009},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6305000185966492},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5077999830245972},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.46779999136924744},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.42419999837875366},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.41600000858306885},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.37310001254081726},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3727000057697296},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35440000891685486},{"id":"https://openalex.org/C113407356","wikidata":"https://www.wikidata.org/wiki/Q1431214","display_name":"Spectral leakage","level":3,"score":0.3474999964237213},{"id":"https://openalex.org/C175291020","wikidata":"https://www.wikidata.org/wiki/Q1156822","display_name":"Offset (computer science)","level":2,"score":0.33149999380111694},{"id":"https://openalex.org/C68827188","wikidata":"https://www.wikidata.org/wiki/Q674533","display_name":"Inverse trigonometric functions","level":2,"score":0.3179999887943268},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3091000020503998},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.29260000586509705},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.2856000065803528},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.2838999927043915},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.2815999984741211},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.2754000127315521},{"id":"https://openalex.org/C190333341","wikidata":"https://www.wikidata.org/wiki/Q217616","display_name":"Meromorphic function","level":2,"score":0.275299996137619},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27300000190734863},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.2702000141143799},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.2676999866962433},{"id":"https://openalex.org/C132074034","wikidata":"https://www.wikidata.org/wiki/Q154210","display_name":"Congruence (geometry)","level":2,"score":0.262800008058548},{"id":"https://openalex.org/C146324458","wikidata":"https://www.wikidata.org/wiki/Q1202673","display_name":"Uniform norm","level":2,"score":0.26269999146461487},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.26010000705718994},{"id":"https://openalex.org/C191252586","wikidata":"https://www.wikidata.org/wiki/Q1671453","display_name":"Interval arithmetic","level":3,"score":0.2556000053882599}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.24023678","doi":"https://doi.org/10.5281/zenodo.24023678","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24023678","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},{"id":"doi:10.5281/zenodo.24023679","doi":"https://doi.org/10.5281/zenodo.24023679","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24023679","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.5281/zenodo.24023678","doi":"https://doi.org/10.5281/zenodo.24023678","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24023678","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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/W7221004945","https://openalex.org/W7214340308","https://openalex.org/W7203904116","https://openalex.org/W7204109969","https://openalex.org/W7203991117","https://openalex.org/W7222975120","https://openalex.org/W7221063214","https://openalex.org/W7203964175","https://openalex.org/W7224098464","https://openalex.org/W7204077431"],"abstract_inverted_index":{"This":[0,146],"paper":[1],"develops":[2],"quantitative":[3,47,203],"positivity":[4],"and":[5,18,28,42,66,76,108,127,170,242],"spectral":[6],"limits":[7,78],"for":[8,194,205],"the":[9,39,53,92,101,111,134,157,171,186,230,238,243],"complete":[10,172],"arithmetic":[11,88],"Weilform,":[12],"retaining":[13],"its":[14],"gamma,":[15],"prime-power,":[16],"polar,":[17],"mixed":[19],"contributions.":[20],"Explicit":[21],"positive":[22,57,83,109,225],"familiesarise":[23],"from":[24,29,55],"small":[25],"spatial":[26,61,113],"support":[27],"controlled":[30],"real":[31],"or":[32,224],"complex":[33],"rate":[34],"budgets.":[35],"The":[36,73,197,234],"singularspectrum":[37],"of":[38,68],"inverse":[40],"derivative":[41],"exact":[43,176],"profile":[44],"estimates":[45],"give":[46],"margins.":[48],"Reciprocalrate":[49],"mass":[50],"then":[51],"organizes":[52],"passage":[54],"localized":[56],"spaces":[58],"to":[59,131,152,214],"compact":[60],"Weil":[62],"operators,persistent":[63],"model":[64],"spaces,":[65],"recovery":[67],"every":[69,166],"possible":[70],"negative":[71,102],"direction.":[72],"associated":[74],"spectral,resolvent,":[75],"heat-trace":[77],"specify":[79],"what":[80],"these":[81],"restricted":[82],"constructions":[84],"can":[85],"recover.The":[86],"optimal":[87],"damping":[89],"threshold":[90],"is":[91],"supremal":[93],"transverse":[94],"zero":[95],"width":[96],"\u0398.":[97],"Support-growth":[98],"arguments":[99],"determine":[100],"exponent":[103],"2\u0398":[104],"in":[105],"logarithmic":[106],"Fourier":[107],"Sobolevnorms;":[110],"ordinary":[112],"norm":[114],"requires":[115],"an":[116],"additional":[117],"upper":[118,150],"estimate.":[119],"For":[120],"that":[121,215],"problem,":[122],"exactprime-shift":[123],"geometry,":[124],"density":[125],"cancellation,":[126],"separated-phase":[128],"bounds":[129],"lead":[130],"a":[132,153,181,190,210],"decompositionof":[133],"entire":[135],"frequency":[136],"axis":[137],"into":[138],"finite":[139,211],"bands":[140],"with":[141],"total":[142],"interaction":[143],"error":[144],"O(A).":[145],"reduces":[147],"themissing":[148],"ordinary-growth":[149],"bound":[151,179,204],"uniform":[154],"estimate":[155,200],"inside":[156],"high":[158],"bands.At":[159],"A":[160],"=":[161],"2,":[162],"directed":[163],"certificates":[164],"control":[165],"prescribed":[167],"local":[168],"window":[169],"first60,000":[173],"modes.":[174],"An":[175],"weighted":[177],"Schur":[178,240],"gives":[180],"lower":[182],"floor":[183,192],"0.46":[184],"on":[185],"infinite":[187],"remaining":[188],"tailand":[189],"conservative":[191],"\u22124.37":[193],"arbitrary":[195],"mixtures.":[196],"tighter":[198],"head\u2013tail":[199],"remains":[201],"open.A":[202],"omitted":[206],"tail":[207],"columns":[208],"specifies":[209],"certification":[212],"route":[213],"question.Separate":[216],"countermodels":[217],"show":[218],"why":[219],"counting":[220],"accuracy,":[221],"prime-power":[222],"support,":[223],"smoothingalone":[226],"does":[227],"not":[228,247],"supply":[229],"required":[231],"signed":[232],"control.":[233],"unrestricted":[235],"undamped":[236],"sign,":[237],"originalresponse":[239],"obligation,":[241],"Riemann":[244],"hypothesis":[245],"are":[246],"established":[248]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-11-07T00:00:00"}