Abstract
The main result of this article shows that some finite Fourier cosine transform of the Jacobi θ-function, the ‘truncated’ Riemann ξ-function, has at least two non-real zeros. The proof is based on the Laguerre inequality and some high-precision numerical work. Infinite Fourier cosine transforms of kernels related to the Jacobi θ-function are also discussed.
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.
