Kernels of 𝐿-functions and shifted convolutions

Diamantis, Nikolaos

doi:10.1090/proc/15182

Kernels of $L$-functions and shifted convolutions

Author: Nikolaos Diamantis
Journal: Proc. Amer. Math. Soc. 148 (2020), 5059-5070
MSC (2010): Primary 11F67, 11F68
DOI: https://doi.org/10.1090/proc/15182
Published electronically: September 17, 2020
MathSciNet review: 4163822
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Abstract: We propose a characterisation of the field into which quotients of non-critical values of $L$-functions associated to a cusp form belong. The construction involves shifted convolution series of divisor sums and a certain double Eisenstein series that induces a kernel of $L$-functions.

References

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