Logarithms of iteration matrices, and proof of a conjecture by Shadrin and Zvonkine

Details Logarithms of iteration matrices, and proof of a conjecture by Shadrin and Zvonkine Logarithms of iteration matrices, and proof of a conjecture by Shadrin and Zvonkine

2010-09-28

arxiv.org/abs/1009.5518v3

Mathematics

Combinatorics

29 pp

Scientific paper

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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