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Ratios of Artin L-functions
- Source :
- J. Number Theory 236 (2022) 1-40
- Publication Year :
- 2019
-
Abstract
- We show that certain quotients of Artin L-functions have infinitely many poles. Our result follows from 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.<br />Comment: 35 pages
- Subjects :
- Mathematics - Number Theory
11F66, 11M41, 11F1
Subjects
Details
- Database :
- arXiv
- Journal :
- J. Number Theory 236 (2022) 1-40
- Publication Type :
- Report
- Accession number :
- edsarx.1910.02821
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.jnt.2021.07.007