arXiv Analytics

Sign in

arXiv:1108.2020 [math.NT]AbstractReferencesReviewsResources

Logarithmic and absolute-value like properties of $π(x)$ with applications

Boris B. Benyaminov

Published 2011-08-09, updated 2011-08-13Version 2

We derive properties of $\pi(x)$ reminiscent of those of the logarithm and absolute value functions. Two of these properties are similar to the relations defining the linearity of a function. Several applications of these properties of $\pi(x)$ are also examined.

Comments: 11 pages. Withdrawn by the author due to a problem with Theorem 3.1, thus also invalidating all results that were based on it
Categories: math.NT
Subjects: 11A41, 11M26
Related articles: Most relevant | Search more
arXiv:0704.1397 [math.NT] (Published 2007-04-11)
The p-adic generalized twisted (h,q)-euler-l-function and its applications
arXiv:1207.0404 [math.NT] (Published 2012-06-29, updated 2014-07-31)
Tangent power sums and their applications
arXiv:math/0112137 [math.NT] (Published 2001-12-13, updated 2006-05-04)
Expansions of Theta Functions and Applications

Links

Toolbox