DOI: 10.1112/blms.12904 ISSN:

A dichotomy for extreme values of zeta and Dirichlet L$L$‐functions

Andriy Bondarenko, Pranendu Darbar, Markus V. Hagen, Winston Heap, Kristian Seip
  • General Mathematics
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Abstract

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.

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