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.
|Number of pages||40|
|Journal||Journal of Number Theory|
|Early online date||26 Aug 2021|
|Publication status||E-pub ahead of print - 26 Aug 2021|