Balanced $0,1$-words and the Galois group of $(x+1)^n-λx^p$

Details Balanced $0,1$-words and the Galois group of $(x+1)^n-λx^p$ Balanced $0,1$-words and the Galois group of $(x+1)^n-λx^p$

2011-11-11

arxiv.org/abs/1111.2870v1

Mathematics

Combinatorics

9 pages

Scientific paper

We study the number of $0,1$-words where the fraction of 0 is "almost" fixed
for any initial subword. It turns out that this study use and reveal the
structure of the Galois group (the monodromy group) of the polynomials
$(x+1)^n-\lambda x^p$. ($p$ is not necessary a prime here.)

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