We continue our study of Yoshida's lifting, which associates to a pair of automorphic forms on the adelic multiplicative group of a quaternion algebra a Siegel modular form of degree 2. We considerâ€¦ (More)

It is well known that due to the simple shape of the reduction conditions in these dimensions [Mil, Ca] it is in principle no problem to compute representatives of all classes of such quadratic formsâ€¦ (More)

We compute the central critical value of the triple product L-function associated to three cusp forms f 1 , f 2 , f 3 with trivial character for groups Î“ 0 (N i) with square free levels N i not allâ€¦ (More)

An integral symmetric matrix S = (sij) âˆˆ M sym m (Z) with sii âˆˆ 2Z gives rise to an integral quadratic form q(x) = 12 xSx on Z. If S is positive definite, the number r(q, t) of solutions x âˆˆ Z of theâ€¦ (More)

0. Introduction. In [2] it was shown that in a certain sense most integers represented by some form in the genus of a given integral ternary positive definite quadratic form are represented by allâ€¦ (More)

We consider here, in analogy to the arithmetic hy-perbolic surfaces, an orthonormal basis of eigenfunctions of the Laplace operator on the twodimensional unit sphere that are also eigenfunctions ofâ€¦ (More)

We restrict a Siegel modular cusp form of degree 2 and square free level that is a Yoshida lifting (a lifting from the orthogonal group of a definite quaternion algebra) to the embedded product ofâ€¦ (More)

We show that the theorem of Ellenberg and Venkatesh on representation of integral quadratic forms by integral positive definite quadratic forms is valid under weaker conditions on the representedâ€¦ (More)

Following the work of Harris and Kudla we prove a general form of a conjecture of Jacquet relating the non-vanishing of a certain period integral to non-vanishing of the central critical value of aâ€¦ (More)