Rankin’s Method and Jacobi Forms of Several Variables

نویسندگان

  • B. RAMAKRISHNAN
  • BRUNDABAN SAHU
چکیده

Abstract. Following Rankin’s method, D. Zagier computed the n-th Rankin-Cohen bracket of a modular form g of weight k1 with the Eisenstein series of weight k2 and then computed the inner product of this Rankin-Cohen bracket with a cusp form f of weight k = k1 + k2 + 2n and showed that this inner product gives, upto a constant, the special value of the Rankin-Selberg convolution of f and g. This result was generalized to Jacobi forms of degree 1 by Y. Choie and W. Kohnen. In this paper, we generalize this result to Jacobi forms defined over H× C(g,1).

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تاریخ انتشار 2008