Ratios of Artin L-functions

Leonhard Hochfilzer, Thomas Oliver

Research output: Contribution to journalArticlepeer-review

Abstract

We study the cancellation of zeros between the Riemann zeta function and certain Artin L-functions. To do so, we develop a converse theorem for Maass forms of Laplace eigenvalue 1/4 in which the twisted L-functions are not assumed to be entire. We do not require the conjectural automorphy of Artin L-functions, only their established meromorphic continuation and functional equation.
Original languageEnglish
JournalJournal of Number Theory
Early online date26 Aug 2021
Publication statusE-pub ahead of print - 26 Aug 2021

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