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LOGARITHMS OF ITERATION MATRICES, AND PROOF OF A CONJECTURE BY SHADRIN AND ZVONKINE
 

Summary: LOGARITHMS OF ITERATION MATRICES, AND PROOF OF A
CONJECTURE BY SHADRIN AND ZVONKINE
MATTHIAS ASCHENBRENNER
Abstract. A proof for a conjecture by Shadrin and Zvonkine, relating the en-
tries 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.
This note is devoted to the study of the somewhat mysterious-looking sequence
0, 1, -
1
2
,
1
2
, -
2
3
,
11
12

  

Source: Aschenbrenner, Matthias - Department of Mathematics, University of California at Los Angeles

 

Collections: Mathematics