Special values of shifted convolution Dirichlet series

نویسندگان

  • MICHAEL H. MERTENS
  • KEN ONO
چکیده

In a recent important paper, Hoffstein and Hulse [14] generalized the notion of Rankin-Selberg convolution L-functions by defining shifted convolution L-functions. We investigate symmetrized versions of their functions, and we prove that the generating functions of certain special values are linear combinations of weakly holomorphic quasimodular forms and “mixed mock modular” forms.

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تاریخ انتشار 2014