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SPECIAL VALUES OF SHIFTED CONVOLUTION DIRICHLET SERIES
Published online by Cambridge University Press: 16 June 2015
Abstract
In a recent important paper, Hoffstein and Hulse [Multiple Dirichlet series and shifted convolutions, arXiv:1110.4868v2] 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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- Research Article
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- Copyright © University College London 2015
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