Abstract
AbstractFor a prime number p and integer x with , let denote the multiplicative inverse of x modulo p. In this paper, we are interested in the problem of distribution modulo p of the sequence and in lower bound estimates for the corresponding exponential sums. As representative examples, we state the following two consequences of the main results.For any fixed and for any sufficiently large integer N, there exists a prime number p with such that For any fixed positive , there exists a positive constant c such that the following holds: for any sufficiently large integer N there is a prime number such that and
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.