Some integrals related to the Basel problem
Number Theory
2016-11-14 v1
Abstract
We evaluate several arctangent and logarithmic integrals depending on a parameter. This provides a closed form summation of certain series and also gives integral and series representation of some classical constants.
Cite
@article{arxiv.1611.03571,
title = {Some integrals related to the Basel problem},
author = {Khristo N. Boyadzhiev},
journal= {arXiv preprint arXiv:1611.03571},
year = {2016}
}
Comments
14 pages