Shifted Convolution $L$-Series Values for Elliptic Curves

Asra Ali; Nitya Mani

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arXiv · 1608.05462

Shifted Convolution $L$-Series Values for Elliptic Curves

Asra Ali·Nitya Mani

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Abstract

Using explicit constructions of the Weierstrass mock modular form, we offer a closed formula for generating the values of shifted convolution $L$-values for certain elliptic curves that can be computed to arbitrary precision. These identities provide a surprising relation between weight $2$ newforms and shifted convolution $L$-values.

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Asra Ali, Nitya Mani. 2016-08-19. Shifted Convolution $L$-Series Values for Elliptic Curves. https://arxiv.org/abs/1608.05462

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