The iterated integrals of ln(1 + x^2)
Number Theory
2014-04-18 v2
Abstract
For a polynomial P, we consider the sequence of iterated integrals of ln P(x). This sequence is expressed in terms of the zeros of P(x). In the special case of ln(1 + x^2), arithmetic properties of certain coefficients arising are described. Similar observations are made for ln(1 + x^3).
Keywords
Cite
@article{arxiv.1012.3429,
title = {The iterated integrals of ln(1 + x^2)},
author = {Tewodros Amdeberhan and Christoph Koutschan and Victor H. Moll and Eric S. Rowland},
journal= {arXiv preprint arXiv:1012.3429},
year = {2014}
}
Comments
21 pages, 1 figure; publication version