A dichotomy for extreme values of zeta and Dirichlet L-functions
Peer reviewed, Journal article
Published version
Date
2023Metadata
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- Institutt for matematiske fag [2530]
- Publikasjoner fra CRIStin - NTNU [38672]
Original version
Bulletin of the London Mathematical Society. 2023, 55 (6), 2963-2975. 10.1112/blms.12904Abstract
We exhibit large values of the Dedekind zeta function of a cyclotomic field on the critical line. This implies a dichotomy whereby one either has improved lower bounds for the maximum of the Riemann zeta function, or large values of Dirichlet -functions on the level of the Bondarenko–Seip bound.