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Sections 6 and 7 explain the transition from cuspidal automorphic representations of a quaternion algebra over a quadratic extension to those of similitude groups of four
So far we have shown in this section that the Gross Question (1.1) has actually a negative answer when it is reformulated for general quadratic forms, for totally singular
Furthermore the combination of Girard’s ?!-translation [Girard 1987] and our D-trans- lation results in the essentially equivalent formulas, in the sense we will define later, as the
The results can be presented in simpler forms if K is a real or an imaginary quadratic field of odd class number, in which case the above definitions cover all hermitian spaces.. Let
In sections 4 and 5 we relate scaled trace forms to the transfer homomorphism of quadratic form theory and use them to obtain information about the kernel and image of the extension
Arithmetic Siegel varieties, q-expansion, Bad reduction of Siegel varieties of parahoric level, Overconvergent Siegel modular forms, Ga- lois representations.. In a previous paper,
In the present paper, using modular properties of these functions, we have obtained by the unique method the exact formulas for a number of representations of numbers by
From the fact that the bilinear forms associated with this two quadratic forms are equals, we obtain another characterization of the 2-Killing vector
