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Notes on universality in short intervals and exponential shifts
Division of Mathematics.ORCID iD: 0000-0002-9651-1766
Institute of Mathematics, Faculty of Mathematics and Informatics, Vilnius University, Vilnius, Lithuania.
Institute of Mathematics, Faculty of Mathematics and Informatics, Vilnius University, Vilnius, Lithuania; Department of Mathematics and Statistics, Faculty of Informatics, Vytautas Magnus University, Akademija Kaunas District, Lithuania.
Graduate school of Mathematics, Nagoya University, Chikusa-Ku, Nagoya, Japan.
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2024 (English)In: Lithuanian Mathematical Journal, ISSN 0363-1672, E-ISSN 1573-8825Article in journal (Refereed) Epub ahead of print
Abstract [en]

We improve a recent universality theorem for the Riemann zeta-function in short intervals due to Antanas Laurincikas with respect to the length of these intervals. Moreover, we prove that the shifts can even have exponential growth. This research was initiated by two questions proposed by Laurin & ccaron;ikas in a problem session of a recent workshop on universality.

Place, publisher, year, edition, pages
Springer, 2024.
Keywords [en]
universality, zeta-functions, exponent pairs, exponential shifts
National Category
Mathematics
Identifiers
URN: urn:nbn:se:oru:diva-113958DOI: 10.1007/s10986-024-09631-5ISI: 001220428100001Scopus ID: 2-s2.0-85192544304OAI: oai:DiVA.org:oru-113958DiVA, id: diva2:1862290
Note

Funding agency:

Graz University of Technology

Available from: 2024-05-29 Created: 2024-05-29 Last updated: 2025-01-20Bibliographically approved

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Andersson, Johan

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