Mertens, Michael H and Ono, Ken
(2014)
Special values of shifted convolution Dirichlet series.
Mathematika, 62 (1).
pp. 47-66.
Text
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Abstract
In a recent important paper, Hoffstein and Hulse generalized the notion of Rankin-Selberg convolution $L$-functions by defining shifted convolution $L$-functions. We investigate symmetrized versions of their functions. Under certain mild conditions, we prove that the generating functions of certain special values are linear combinations of weakly holomorphic quasimodular forms and "mixed mock modular" forms.
Item Type: | Article |
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Additional Information: | 18 pages, corrected slight error in main theorem and made according minor edits in Sections 3.4 and 3.5 |
Uncontrolled Keywords: | math.NT, math.NT, 11F37, 11G40, 11G05, 11F67 |
Depositing User: | Symplectic Admin |
Date Deposited: | 01 Jul 2020 08:46 |
Last Modified: | 18 Jan 2023 23:47 |
DOI: | 10.1112/s0025579315000169 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3092363 |