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Kernels of L-functions and shifted convolutions (2020)
Journal Article
Diamantis, N. (2020). Kernels of L-functions and shifted convolutions. Proceedings of the American Mathematical Society, 148, 5059-5070. https://doi.org/10.1090/proc/15182

We give a characterisation of the field into which quotients of values of L-functions associated to a cusp form belong. The construction involves shifted convolution series of divisor sums and to establish it we combine parts of F. Brown's technique... Read More about Kernels of L-functions and shifted convolutions.