@article{282ed04ea578471a9e71fcbbf452863f,

title = "Roots of Polynomials and the Derangement Problem",

abstract = "We present a new killing-a-fly-with-a-sledgehammer proof of one of the oldest results in probability which says that the probability that a random permutation on n elements has no fixed points tends to e−1 as n tends to infinity. Our proof stems from the connection between permutations and polynomials over finite fields and is based on an independence argument, which is trivial in the polynomial world.",

keywords = "11T55, MSC: Primary 60C05, Secondary 11T06",

author = "Lior Bary-Soroker and Ofir Gorodetsky",

note = "Publisher Copyright: {\textcopyright} 2018, {\textcopyright} 2018 Mathematical Association of America.",

year = "2018",

month = nov,

day = "26",

doi = "10.1080/00029890.2018.1521231",

language = "אנגלית",

volume = "125",

pages = "934--938",

journal = "American Mathematical Monthly",

issn = "0002-9890",

publisher = "Mathematical Association of America",

number = "10",

}