Small Limit Points of Mahler's Measure
نویسندگان
چکیده
Let M(P (z1, . . . , zn)) denote Mahler’s measure of the polynomial P (z1, . . . , zn). Measures of polynomials in n variables arise naturally as limiting values of measures of polynomials in fewer variables. We describe several methods for searching for polynomials in two variables with integer coefficients having small measure, demonstrate effective methods for computing these measures, and identify 48 polynomials P (x, y) with integer coefficients, irreducible over Q, for which 1 < M(P (x, y)) < 1.37.
منابع مشابه
Mahler's Measure and Special Values of L-functions
1991 Mathematics Subject Classi cation: Primary 11R06, 11K16; Secondary 11Y99.
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عنوان ژورنال:
- Experimental Mathematics
دوره 14 شماره
صفحات -
تاریخ انتشار 2005