Abstract
In this paper, we first formulate the Weil explicit formula of prime number theory for cuspidal automorphic L-functions L(s,π) of GLd. Then, we prove some conditional results about the vanishing order at the central point of L(s,π). This enables to yield an estimate for the height of the lowest zero of L(s,π) on the critical line in terms of the analytic conductor.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
