arXiv Analytics

Sign in

arXiv:math/0309433 [math.NT]AbstractReferencesReviewsResources

X-Ray of Riemann zeta-function

J. Arias-de-Reyna

Published 2003-09-26Version 1

We present drawings on the complex plane of the lines Im(zeta(s))=0 and Re(zeta(s))=0. This allow to illustrate many properties of the zeta function of Riemann. This is an expository paper. It does not pretend to prove any new result about the zeta function. But it gives a new perspective to many known results. Also it may prove useful to show to students of Complex Variables or Analytic Number Theory. (This was my initial motivation to make the drawings).

Comments: 42 pages, 52 figures. Latex
Categories: math.NT, math.CV
Subjects: 11M06, 11M26
Related articles: Most relevant | Search more
arXiv:math/0204194 [math.NT] (Published 2002-04-15)
On the nature of the "explicit formulas" in analytic number theory - a simple example
arXiv:2405.17800 [math.NT] (Published 2024-05-28)
Moments of $L$-functions Problem List
arXiv:1409.0331 [math.NT] (Published 2014-09-01)
Some Applications of Laplace Transforms in Analytic Number Theory

Links

Toolbox