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@prefix xsd:   <http://www.w3.org/2001/XMLSchema#> .
@prefix skos:  <http://www.w3.org/2004/02/skos/core#> .
@prefix rdfs:  <http://www.w3.org/2000/01/rdf-schema#> .
@prefix ocresd: <http://purl.org/net/OCRe/study_design.owl#> .
@prefix swo:   <http://www.ebi.ac.uk/efo/swo/> .
@prefix cito:  <http://purl.org/spar/cito/> .
@prefix geo:   <http://aims.fao.org/aos/geopolitical.owl#> .
@prefix ocresst: <http://purl.org/net/OCRe/statistics.owl#> .
@prefix dcterms: <http://purl.org/dc/terms/> .
@prefix vivo:  <http://vivoweb.org/ontology/core#> .
@prefix event: <http://purl.org/NET/c4dm/event.owl#> .
@prefix vann:  <http://purl.org/vocab/vann/> .
@prefix foaf:  <http://xmlns.com/foaf/0.1/> .
@prefix c4o:   <http://purl.org/spar/c4o/> .
@prefix fabio: <http://purl.org/spar/fabio/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix thkoeln: <http://cris.nrw/hisinone#> .
@prefix vitro: <http://vitro.mannlib.cornell.edu/ns/vitro/0.7#> .
@prefix vitro-public: <http://vitro.mannlib.cornell.edu/ns/vitro/public#> .
@prefix rdf:   <http://www.w3.org/1999/02/22-rdf-syntax-ns#> .
@prefix ocresp: <http://purl.org/net/OCRe/study_protocol.owl#> .
@prefix bibo:  <http://purl.org/ontology/bibo/> .
@prefix obo:   <http://purl.obolibrary.org/obo/> .
@prefix ro:    <http://purl.obolibrary.org/obo/ro.owl#> .

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        bibo:abstract             "Following both Ernvall-Mets¨ankyl¨a and Ellenberg-Jain-Venkatesh,  we study the density of the number of zeroes (i.e. the cyclotomic λ-invariant) for the p-adic zeta-function twisted by a Dirichlet character χ of any order. We are interested in two cases: (i) the character χ is fixed and the prime p varies, and (ii) ord(χ) and the prime p are both fixed but χ is allowed to vary. We predict distributions for these λ-invariants using p-adic random matrix theory and provide numerical evidence for these predictions. We also study the proportion of χ-regular primes, which depends on how p splits inside Q(χ). Finally in an extensive Appendix, we tabulate the values of the λ-invariant for every character χ of conductor 6 1000 and for odd primes p of small size." ;
        bibo:doi                  "10.48550/arXiv.2207.06287" ;
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