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

Christoph Koutschan; Eric S. Rowland; Tewodros Amdeberhan; Victor H. Moll

arxiv: 1012.3429 · v2 · pith:P7UVL2Q3new · submitted 2010-12-15 · 🧮 math.NT

The iterated integrals of ln(1 + x²)

Tewodros Amdeberhan , Christoph Koutschan , Victor H. Moll , Eric S. Rowland This is my paper

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keywords integralsiteratedsequencearisingarithmeticcasecertaincoefficients

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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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The iterated integrals of ln(1 + x²)

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