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|Lehmer  asked if there exists a positive constant c such that μ(f) ≥ c for all f ∈ |
Z[x]. ... Since Lehmer's problem in its original form is concerned only with
polynomials f having integer coefficients, we will assume for the remainder of this
|Volume 324, 2003 Lehmer's Problem, McKay's Correspondence, and 2,3,7 Eriko |
Hironaka Dedicated to the memory of Ruth Michler ABSTRACT. This paper
analyses Lehmer's problem in the context of Coxeter systems. The point of view ...
|Lehmer's Phenomenon nomials of random orders 1 to 10. ... Lehmer's Problem |
LEHMER'S MAHLER MEASURE PROBLEM, LEHMER'S TOTIENT PROBLEM
Leibniz Harmonic Triangle 1741 Lehmer's Theorem FERMAT'S LITTLE
| In his paper, Lehmer mentioned that he could find no smaller measure of |
growth than that of the polynomial G(x) = xto + x9 ... The problem of verifying that
integral polynomials have a smallest positive measure is now known as '
|This means that the cardinality of the quotient space G/∼ is uncountable or |
countable depending on the solution to Lehmer's problem. This is now a problem
of some antiquity, and means that we do not know if group automorphisms are ...
|problem is known as Lehmer's problem (see Chap. 7 of [BerDGPS 1992]) and an |
answer would have various applications. The first one is due to D. H. Lehmer
himself in [Le 1933]: he introduced the subject while looking for large prime ...
|3.2. Lehmer's. Problem. It follows from equation (3.1.1) that for f,g ∈ Z[x] M(f · g) = |
M(f)·M(g) (3.2.1) Using equation (3.2.1) we can restate Theorem 2.2.1 as follows
Lemma 3.2.1. (Kronecker) Let f ∈ Z[x]. Then M(f) = 1 if and only if ± f is a product
|when t? is not a root of unity is a classical problem in the theory of algebraic |
numbers, see , [373. Chap. 1], and [909. Notes to Chap. 2]. Lehmer  first
raised this problem in connection with the growth rate of Lehmer-Pierce