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 language | English |
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| Pages (from-to) | 1-40 |
| Number of pages | 40 |
| Journal | Journal of Number Theory |
| Volume | 236 |
| Early online date | 26 Aug 2021 |
| Publication status | E-pub ahead of print - 26 Aug 2021 |