On Siegel's problem for E-functions

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locally homogenous complex manifolds are the moduli spaces for that class of varieties... Returning to the situation in which 0393BD is a moduli space, in general 0393BD

Since the generators have the rational Fourier coefficients, their ratios of weight zero generate the modular function field K3 over Q.. Let us prove a ~

Bessel’s equation of order a can satisfy a first-order algebraic differential equation whose coefficients belong to the field generated by.. the field of

Using representation (1.1), we shall see that Xa (x) measures the difference between the arça of certain paral- lelograms and the number of lattice points

We believe that we can produce a quadratic Siegel disk whose boundary does not contain the critical point and has packing dimension 2 and Hausdorff dimension

We assume that FCFg(n) for some n~>3 to exclude elliptic fixpoints. If one considers Siegel modular forms of genus g + l and its Fourier-Jacobi expansion, one gets the

(A) good effective exponents (approaching Roth's exponent 2) for numbers of the type ~" a / b , obtained through the use of Pad6 approximations to algebraic