Abstract
It is well known that the Fourier coefficients a n k (T) of Siegel's Eisenstein series of degree n and weight k are rational numbers with bounded denominators [14], [15]. In this paper we introduce a number b n k (T), which is equal to a n k (T) in many cases. This number can be computed in an elementary way. From our explicit formulas for b n k (T) we can easily get results about the denominators of the Fourier coefficients a n k (T), which are better than those obtained by Siegel in his difficult paper [15].
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