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math.NT2010★ 1 cited
The iterated integrals of ln(1 + x^2)
Tewodros Amdeberhan, Christoph Koutschan, Victor H. Moll +1
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), arithme…
math.CO2010★ 2 cited
Toward a language theoretic proof of the four color theorem
Bobbe Cooper, Eric Rowland, Doron Zeilberger
This paper considers the problem of showing that every pair of binary trees with the same number of leaves parses a common word under a certain simple grammar. We enumerate the com…
math.NT2010★ 2 cited
The number of nonzero binomial coefficients modulo p^alpha
Eric Rowland
In 1947 Fine obtained an expression for the number of binomial coefficients on row n of Pascal's triangle that are nonzero modulo p. In this paper we use Kummer's theorem to genera…