The iterated integrals of ln(1 + x^2)
arXiv:1012.3429 · doi:10.1142/S1793042112500042
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).
21 pages, 1 figure; publication version