Ratios of Artin L-functions
Hochfilzer, L. and Oliver, T. 2022. Ratios of Artin L-functions. Journal of Number Theory. 236, pp. 1-40. https://doi.org/10.1016/j.jnt.2021.07.007
Hochfilzer, L. and Oliver, T. 2022. Ratios of Artin L-functions. Journal of Number Theory. 236, pp. 1-40. https://doi.org/10.1016/j.jnt.2021.07.007
Title | Ratios of Artin L-functions |
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Type | Journal article |
Authors | Hochfilzer, L. and Oliver, T. |
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. |
Journal | Journal of Number Theory |
Journal citation | 236, pp. 1-40 |
ISSN | 0022-314X |
1096-1658 | |
Year | 2022 |
Publisher | Elsevier |
Accepted author manuscript | File Access Level Open (open metadata and files) |
Digital Object Identifier (DOI) | https://doi.org/10.1016/j.jnt.2021.07.007 |
Web address (URL) | https://www.sciencedirect.com/science/article/abs/pii/S0022314X21002626 |
Publication dates | |
Published in print | Jul 2022 |
Published online | 26 Aug 2021 |