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Almost Additive Thermodynamic Formalism: Some Recent Developments
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Let ξ1, . . . , ξr be complex numbers with K = Q(ξ1, . . . , ξr) having transcendence degree r − 1 over Q. Consider the equation a1x1 + · · ·+ akxk = 1, (1) in which the ai’s are fixed elements of K ×, no proper subsum ai1xi1 + · · ·+ aijxij vanishes, and we seek solutions xi ∈ Γ = ξ1, . . . , ξr . It is well–known that (1) has only finitely many solutions; we present here an elementary proof o...
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ژورنال
عنوان ژورنال: International Journal of Geometric Methods in Modern Physics
سال: 2014
ISSN: 0219-8878,1793-6977
DOI: 10.1142/s0219887814500406