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• W1570374392 abstract "We study the maximum function of any ℝ + -rational formal series S in two commuting variables, which assigns to every integer n ∈ ℕ, the maximum coefficient of the monomials of degree n. We show that if S is a power of any primitive rational formal series, then its maximum function is of the order Θ(n k / 2 λ n ) for some integer k ≥ –1 and some positive real λ. Our analysis is related to the study of limit distributions in pattern statistics. In particular, we prove a general criterion for establishing Gaussian local limit laws for sequences of discrete positive random variables." @default.
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• W1570374392 date "2004-01-01" @default.
• W1570374392 modified "2023-10-03" @default.
• W1570374392 title "On the Maximum Coefficients of Rational Formal Series in Commuting Variables" @default.
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• W1570374392 doi "https://doi.org/10.1007/978-3-540-30550-7_10" @default.
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