On the roots of the equation $ζ(s)=a$

Details On the roots of the equation $ζ(s)=a$ On the roots of the equation $ζ(s)=a$

2010-11-24

arxiv.org/abs/1011.5339v1

Mathematics

Number Theory

15 pages

Scientific paper

Given any complex number $a$, we prove that there are infinitely many simple roots of the equation $\zeta(s)=a$ with arbitrarily large imaginary part. Besides, we give a heuristic interpretation of a certain regularity of the graph of the curve $t\mapsto \zeta({1\over 2}+it)$. Moreover, we show that the curve $t\mapsto (\zeta({1\over 2}+it),\zeta'({1\over 2}+it))$ is not dense in $C^2$.

Affiliated with

Also associated with

No associations

Rating

On the roots of the equation $ζ(s)=a$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the roots of the equation $ζ(s)=a$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the roots of the equation $ζ(s)=a$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-240744