Functions and Analysis

   

On Some Series Related to Möbius Function and Lambert W-Function

Authors: Danil Krotkov

We derive some new formulas, connecting some series with Möbius function with Sine Integral and Cosine Integral functions, give the formal proof for full version of Stirling's formula with remainder term in form of definite integral of elementary function; investigate the values of new Dirichlet series function at natural numbers >1 and its behavior at the pole at s=1, connecting it with elementary constants.

Comments: 13 Pages.

Download: PDF

Submission history

[v1] 2016-04-15 04:23:52
[v2] 2016-06-12 04:36:26

Unique-IP document downloads: 121 times

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus