 About 145,000 results  books.google.com 
 books.google.com Lehmer [9] 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
... 

 books.google.com 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 ... 

 books.google.com 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
THEOREM ... 

 books.google.com Volume 48, 1994 A Locally Parameterized Version of Lehmer's Problem GARY A.
RAY ABSTRACT. Lehmer asked if there exist monic polynomials p(x) with integer
coefficients such that Mahler's measure M(p) is arbitrarily close to 1. 

 books.google.com [3] 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 '
Lehmer's ... 

 books.google.com 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 ... 

 books.google.com 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 ... 

 books.google.com 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
... 

 books.google.com when t? is not a root of unity is a classical problem in the theory of algebraic
numbers, see [140], [373. Chap. 1], and [909. Notes to Chap. 2]. Lehmer [695] first
raised this problem in connection with the growth rate of LehmerPierce
sequences ... 

 