The Lehmer constants of an annulus
Artūras Dubickas, Chris J. Smyth (2001)
Journal de théorie des nombres de Bordeaux
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Let be the Mahler measure of an algebraic number , and be an open subset of . Then its is inf , the infimum being over all non-zero non-cyclotomic lying with its conjugates outside . We evaluate when is any annulus centered at . We do the same for a variant of , which we call the transfinite Lehmer constant .Also, we prove the converse to Langevin’s Theorem, which states that if contains a point of modulus . We prove the corresponding result for...