Logarithms of iteration matrices, and proof of a conjecture by Shadrin and Zvonkine
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math.CV
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conjectureiterationlogarithmsmatricesmatrixnumbersproofshadrin
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A proof for a conjecture by Shadrin and Zvonkine, relating the entries of a matrix arising in the study of Hurwitz numbers to a certain sequence of rational numbers, is given. The main tools used are iteration matrices of formal power series and their (matrix) logarithms.
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