Gaussian almost primes in almost all narrow sectors

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dc.contributor.authorJärviniemi, Olli
dc.contributor.authorTeräväinen, Joni
dc.contributor.organizationfi=matematiikka|en=Mathematics|
dc.contributor.organization-code1.2.246.10.2458963.20.41687507875
dc.contributor.organization-code2606101
dc.converis.publication-id457146057
dc.converis.urlhttps://research.utu.fi/converis/portal/Publication/457146057
dc.date.accessioned2026-01-21T13:43:38Z
dc.date.available2026-01-21T13:43:38Z
dc.description.abstractWe show that almost all sectors of the disc {z is an element of C : vertical bar z vertical bar(2) <= X} of area (log X)(15.1) contain products of exactly two Gaussian primes, and that almost all sectors of area (log X)(1+epsilon) contain products of exactly three Gaussian primes. The argument is based on mean value theorems, large value estimates and pointwise bounds for Hecke character sums.
dc.format.pagerange1293
dc.format.pagerange1350
dc.identifier.jour-issn0213-2230
dc.identifier.olddbid213294
dc.identifier.oldhandle10024/196312
dc.identifier.urihttps://www.utupub.fi/handle/11111/55149
dc.identifier.urlhttps://ems.press/journals/rmi/articles/13272470
dc.identifier.urnURN:NBN:fi-fe2025082790776
dc.language.isoen
dc.okm.affiliatedauthorJärviniemi, Olli
dc.okm.affiliatedauthorTeräväinen, Joni
dc.okm.discipline111 Mathematicsen_GB
dc.okm.discipline111 Matematiikkafi_FI
dc.okm.internationalcopublicationnot an international co-publication
dc.okm.internationalityInternational publication
dc.okm.typeA1 ScientificArticle
dc.publisherEUROPEAN MATHEMATICAL SOC-EMS
dc.publisher.countryGermanyen_GB
dc.publisher.countrySaksafi_FI
dc.publisher.country-codeDE
dc.publisher.placeBERLIN
dc.relation.doi10.4171/RMI/1452
dc.relation.ispartofjournalRevista Matemática Iberoamericana
dc.relation.issue4
dc.relation.volume40
dc.source.identifierhttps://www.utupub.fi/handle/10024/196312
dc.titleGaussian almost primes in almost all narrow sectors
dc.year.issued2024

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