Abstract
The study of Ta(x) was initiated as long ago as 1931 by Titchmarsh [2]. Since the dispersion method is exceedingly complicated, it may be of interest to record that the theorem is a simple consequence of the recent result of Bombieri [3] on the average of the error term in the prime number theorem for arithmetic progressions. For our purpose the following, weaker, form of Bombieri's theorem is sufficient: (i) There exists a positive number B such that
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.
