Mass Equidistribution for Saito-Kurokawa Lifts

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dc.contributor.authorJääsaari, Jesse
dc.contributor.authorLester, Stephen
dc.contributor.authorSaha, Abhishek
dc.contributor.organizationfi=matematiikka|en=Mathematics|
dc.contributor.organization-code1.2.246.10.2458963.20.41687507875
dc.converis.publication-id457359572
dc.converis.urlhttps://research.utu.fi/converis/portal/Publication/457359572
dc.date.accessioned2025-08-28T01:44:38Z
dc.date.available2025-08-28T01:44:38Z
dc.description.abstractLet F be a holomorphic cuspidal Hecke eigenform for of weight k that is a Saito–Kurokawa lift. Assuming the Generalized Riemann Hypothesis (GRH), we prove that the mass of F equidistributes on the Siegel modular variety as k⟶∞. As a corollary, we show under GRH that the zero divisors of Saito–Kurokawa lifts equidistribute as their weights tend to infinity.
dc.format.pagerange1460
dc.format.pagerange1532
dc.identifier.eissn1420-8970
dc.identifier.jour-issn1016-443X
dc.identifier.olddbid207994
dc.identifier.oldhandle10024/191021
dc.identifier.urihttps://www.utupub.fi/handle/11111/57401
dc.identifier.urlhttps://link.springer.com/article/10.1007/s00039-024-00690-x
dc.identifier.urnURN:NBN:fi-fe2025082787842
dc.language.isoen
dc.okm.affiliatedauthorJääsaari, Jesse
dc.okm.discipline111 Mathematicsen_GB
dc.okm.discipline111 Matematiikkafi_FI
dc.okm.internationalcopublicationinternational co-publication
dc.okm.internationalityInternational publication
dc.okm.typeA1 ScientificArticle
dc.publisherSpringer Nature
dc.publisher.countrySwitzerlanden_GB
dc.publisher.countrySveitsifi_FI
dc.publisher.country-codeCH
dc.relation.doi10.1007/s00039-024-00690-x
dc.relation.ispartofjournalGeometric And Functional Analysis
dc.relation.issue5
dc.relation.volume34
dc.source.identifierhttps://www.utupub.fi/handle/10024/191021
dc.titleMass Equidistribution for Saito-Kurokawa Lifts
dc.year.issued2024

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