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Shifted Convolution $L$-Series Values for Elliptic Curves

Published 19 Aug 2016 in math.NT | (1608.05462v2)

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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