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Über die Fourierkoeffizienten der Siegelschen Eisensteinreihen

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Abstract

It is well known that the Fourier coefficients a kn (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 kn (T), which is equal to a kn (T) in many cases. This number can be computed in an elementary way. From our explicit formulas for b kn (T) we can easily get results about the denominators of the Fourier coefficients a kn (T), which are better than those obtained by Siegel in his difficult paper [15].

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  1. Mathematisches Institut der Universität, Hebelstr. 29, D-7800, Freiburg

    Siegfried Böcherer

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  1. Siegfried Böcherer
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Böcherer, S. Über die Fourierkoeffizienten der Siegelschen Eisensteinreihen. Manuscripta Math 45, 273–288 (1984). https://doi.org/10.1007/BF01158040

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