SPECIAL VALUES OF SHIFTED CONVOLUTION DIRICHLET SERIES
SPECIAL VALUES OF SHIFTED CONVOLUTION DIRICHLET SERIES
In a recent important paper, Hoffstein and Hulse [Multiple Dirichlet series and shifted convolutions, arXiv:1110.4868v2] generalized the notion of Rankin–Selberg convolution -functions by defining shifted convolution-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 …