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We find asymptotic formulas as n → ∞ for the coefficients a(r, n) defined by
(The case r = 1 gives the number of plane partitions of n.) Generalized Dedekind sums occur naturally and are studied using the Finite Fourier Transform. The methods used are unorthodox; many of the computations are not justified but the result is in many casesvery good numerically. The last section gives various formulas for Kinkelin's constant.
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