The iterated integrals of ln(1 + x^2)

Details The iterated integrals of ln(1 + x^2) The iterated integrals of ln(1 + x^2)

2010-12-15

arxiv.org/abs/1012.3429v2

Mathematics

Number Theory

21 pages, 1 figure; publication version

Scientific paper

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).

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